Find (f )if fh) = 2x3+5x+2
-/0.16 points SCalcET8 2.8.059. 17. Show that the function f(x) = |x - 21 is not differentiable at 2 We have if x 2 f(x) x - 2 = if x < 2 The right-hand limit is f(x) f(2) lim x2 x - 2 and the left-hand limit is lim f(x)- f(2) x2 ? — 2 = lim X - f(2) does not exist and fis not differentiable at 2. ? >2 ?— 2 Since these limits are not equal, f'(2) Find a formula for f' and sketch its gra
3. Evaluate the triple integral fffn dV, where D is the solid enclosed by the parabolic cylinder y 2 and the planes = 0 and y+z = 1. Sketch picture. a
1. Convergence criteria, comparison tests For each of the following series, determine if it is convergent, divergent, or neither. For convergent power series, compute the radius of convergence. For numerical convergent series, compute the limit. n (1.3) 2n (1.4) n! iMEM
Consider the following equations fty) V49-y g(y) 0 y2 Sketch the region bounded by the graphs of the functions. 3.0H 3.01 2.5 2.5 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5F 02 0.4 0.6 0.8 10 1.2 0.2 0.4 0.6 0.8 1.0 1.2 3.0h 3.0H 2.5 2.5 Weblssign Piat 2.0 2.0 1.5 1.5 MacBook Pro 90 0sc % & 2 3 6
Find the general solution of the differential equation. dy 12 di Natx 9tX3
1. Convergence criteria, comparison tests For each of the following series, determine if it is convergent, divergent, or neither. For convergent power series, compute the radius of convergence. For numerical convergent series, compute the limit. ?? 1 (1.1) ?(? + 1) (-1)" (1.2) ? IM IM
Lonsider the following equations fx) x+4 g(x) Sketch the region bounded by the graphs of the functions. 3 2 O. -5 -7 Find the area of the region.
6. Fig. 11 shows the graph of g. Sketch the graph of g Fig. 1
20. Does f(x)= 3 + sin(x) have an inverse function? Justify your answer
fly spider Fig. 19: Find the shortest path from the spider to the flay along the surface of the cube 28. A spider and a fly are located at opposite corners of the cube as shown in Fig. 19. Sketch the shortest path the spider can take along the surface of the cube to reach the fly
20. (a) What is the viewing angle for the tunnel sign in Fig. 24? (b) Use arctangents to describe the viewing angle when the observer is x feet from the entrance of the tunnel 10 ft sign 20 ft tunnel 5 ft road 40 ft Fig. 24: On the road
Chapter 3, Section 3.4, Question 07 Find the solution of the given initial value problem. (.) -3 x' = x, x(0)= 3 The solution of the initial value problem is given by 2 cos(6t) X(t) = 2e-3 sin(6) -2 sin(6t) x(t) = -2e-3t cos(6t) -2 sin(6t) 2 cos(6) +2e-3 X(t) = -2e-3 cos(6t) sin(6t) 2 cos(6t *(a) -2 sin(6t) +2e-3 x(t) = -2e-3 sin(6t) cos(61) -2 sin(6t) 2 cos(6t) +2e-3 x(t) = 2e-3 sin(6t) cos(61)
functions of t. tan(0) = 4000 so (Hint: 0 and h are d dh dt tan(0) dt (4000) . Then solve for dt 34. You are observing a rocket launch from a point 3000 feet from the launch pad. You heard on the radio the when the rocket is 5000 feet high its velocity is 100 feet per second. (a) What is the angle of elevation of the rocket when it is 5000 feet up? (b) How fast is the angle of elevation increasin
Solve the given system of DEs by systematic elimination. Assume the independent variable is t. pls write the solution in detail, I want to figure out how to do this kind of question instead of just knowing the answer 3. 4y e dt2 d2y et dt2 4 " - y/ = t x6 y+ 6y = 5
please show work EXTRA Cr 2 tI
tan(a)tan(b) 56. Let a arctan( x) and b = arctan( y). Use the identity tan( a + b ) = to show that 1 tan(a)tan(b) X + y arctanx)arctan( y ) = arctan -xy ).
My Notes OAsk Your Teacher OO ponS Pevous Answers LarCalcET6 12.3.035 M Use the model for projectile motion, assuming there is no air resistance. A shot fired from a qun with a muzzle velocity of 1400 feet per second is to hit a target 2600 feet away. Determine the minimum angle of elevation of the gun. (Round your answer to two decimal places.) 0 37 Need Help? Read it Talk to a Tuter Watch 8
? 3 30 2 dx ? 1n(x) 6?
44. Find area between the curve y = 1 +x2 and the x-axis (a) from x =- 10 to 10 and (b) from x -A to A . (c) Find the area under the whole curve. (Calculate the limit of your answer as A in part (b)
1. (a) Draw a single graph that is: i. both continuous and differentiable at x = 1 ii. continuous but not differentiable at x = 2 (b) Why can you not make the graph differentiable but not continuous at x = 3?
(In(x - 2))2 Find the area enclosed by y In(x - 2) and y
1.02/4 points | Previous Answers LarCalc11 11.4.505.XP.MI. 9. Consider the following. (-8, 0, 4) (5, -1, 0) u = V = Find u x v. Determine if u x v is orthogonal to both u and v by finding the values below. (u x v) (A x n) ux v is orthogonal to both u and v. V . X u x v is not orthogonal to both u and v.
JTung m youl webhSSign Grace Period. Get Access Today. 3. 1 points LarCalc10 7.1.005.MI Set up the definite integral that gives the area of the region. y1 5(x3 -x) Y2 0 C dx -1.5 -1.0 -0.5 0.5 110 1.5 Watch It Master It Talk to a Tutor Need Help? Read It Save Progress Practice Another Version Submit Answer O-1 points LarCalc10 7.1.006.MI 4. Set up the definite integral that gives the area of
-/6 points LarCalc11 11.4.009 15. Find u x v, v x u, and v x v. u 5, -8, -4) v (-6, -3, -7) = (a) A x n (b) V X u (c)
pls answer more than one if you can. thank you 3. Find the parametric equations and symmetric equations for the line through the points (6, 1,-3) and (2, 4, 5). 4. Find the equation of the plane through the point (6,3,2) and perpendicular to vector -2,1,5). 5. Find the number k for which u = (1,2,1) and is perpendicular to =(k, 3,4). 6. Find the unit normal vector N for the curve: 7(t) = (sin(
please solve and show work The total sales of S (in thousands of DVDs) of a certain movie are given by the following formula where t is the number of monthss since the release of the DVD Use the formula to answer the questions. 60 S0 3.150 a) Find S'(). sm- b) Find S(10) and S(10) The value of S(10) rounded to the nearest hundredth is The value of S (10) rounded to the nearest hundredth is Wha
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please solve and show work Differentiate the function. 4 y- (9x-x+6) (-x +7) y'=
please solve and show work 1. Find f'(x) and find the equation of the line tangent to the graph of f at x X-8 f(x) 7x-1 f'(x)= The equation of the line tangent to the graph of f at x = 1 is y =
Find the arc length of the graph of the function over the indicated interval. 3/2 y y 40 30 20 10 3 -1 Talk to a Tutor Need Help? Watch It Read it Submit Answer Save Progress Practice Another Version
please solve and show work dy Find ?? dt y= (48+ e') Int dy dt (Type an exact answer.) ???
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Find the derivative of the given functions 1 -3x e 3f-4xt arctanlox-3 |5
please solve and show work Find the indicated derivative and simplify. y' for y (8+5x-9x2) e X y'= |
please solve and show work Find f'(x) et f(x)= 2x +5 f'(x)=
1. Jtan1x) dx 2. Jsec-1(x dx 3. sin 1x) dx 4. cos 1x) dx 5. csc1(x) dx 6. sec1(x)dx 7. Jcot x) dx 8. ln(x) dx 9. Je* sin(x) dx 10. 3 nx dx COS
use the Naliation palameteds methoe to salve oiffelental ealuatan. / -2172e
The given curve is rotated about the y-axis. Find the area of the resulting surface. y = (1/4) x^2 ? (1/2) ln(x), 1 ? x ? 3
please solve and show work Find f'(x). 4 f(x) 2x In x f(x)
please solve and show work Find the equation of the line tangent to the graph of f at the indicated value of x f(x) 5 ex-1; x=0 O A. y 4x+4 B. y=5x+4 O C. y=5x-4 O D. y 5x+5
please solve and show work Find f'(x) 2 X fx) In x-9ex +3x O A. f(x)=-9e +6 3 O B. f'(x)--9xex-1+6x ww X 3 9e%+ 3x O C. f(x) X www X 3 O D. f(x) 9e + 6x ww X
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please solve and show work the questions A formula for the relationship between weight and blood pressure in children is given by the formda below where Po) is measured in millimeters of mercury and x is measured in pounds Use the formula to ame P)-14 36 In x) 10sxs 100 What is the rate of change of blood pressure with respect to welght at the 40 pound weight level The sate of change at the 4
A box with an open top is to be constructed from a square piece of cardboard, 9 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume such a box can have.
2-2x dc 2. Evaluate 0
X-2 lim- 3 - + 1 x-5 (c) x>2
Find the mass and center of mass of the solid S inside the paraboloid z=x2+y2 and beneath the plane z=1 if the density of p(x,y,z) = z. Use two different methods, first with cylindrical coordinates and second slicing the solid horizontally. So far, I used slices and got the center of mass to be (0,0,2/3) and the mass as pi/2. Is that correct/how do I do it with cylindrical coordinates?
Find k such that the line is tangent to the graph of the function. Function Line f(x) kx3 y = 7x + 4 k = Need Help? Read It Watch It Talk to a Tutor
d In(6 dx 2) at x = 1 (1 point) Evaluate X Answer: (1 point) Let f(x) = 2 log, (x) f'(x)=2^xIn(2)(log(x)/log(4))+2/ (xIn(4)) help (logarithms)