oint) Use the graph of f(x) shown below to find the following integrals.

Q: 20. tan (20) = -1 %3D

A: We have to find the value of θ.

Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: We can solve the given problem by using differentials.

Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A:

Q: 00 Σ 3k k-2

A: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on [k,∞) and…

Q: If the 6th term of an arithmetic sequence is 63 and the 14th term is 135, write the formula for the…

A:

Q: 00 Write the Taylor series for f(x) = e* about x = Σ- 3)". 3 as n=0 Find the first five…

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Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

A:

Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

A: topic- ellipse

Q: Sexe" ds, C is the line segment from (0, 0, 0) to (1, 2, 3)

A:

Q: Triangle BAC is a 30°°-60°°-90°° right triangle. 600 30° A C If BC = 15, what is the measure of AC?…

A:

Q: Question If you were to use a substitution of u = cos(x) to evaluate the definite integral below,…

A: Use the given substitution to find the new limits

Q: Given : v = (3t – x)e-2t Find atəx

A:

Q: The power series representation of 1 f (x) = 5x + 4 is: 5 25 125 x+... 256 | - 4 16 64 125 x+... 256…

A: In this question we have to find series form of the function.

Q: 4x Find the linearization L(x,y) of the function f(x,y) = e cos (3y) at the points (0,0) and0,

A: Answer is given below

Q: Given r = 1 – 3 sin 0, find the following. Find the area of the inner loop of the given polar curve…

A: Concept: Area in polar coordinates: various regions enclosed by such curves can be calculated using…

Q: Vhich of the following are possible f '(x) for a function f(x) that is decreasing for every x > 5?…

A: We are asked to find which is decreasing

Q: Evaluate the definite integral using integration by parts. Do not use any other met od You must show…

A: topic- integration by parts

Q: 29 – 49 - dy C. 2+ 4y · Evaluate using substitution

A:

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A:

Q: what

A: We will find the velocity and time

Q: etermine whether the series E converges or diverges. If it converges, find its sum. m= 2 elect the…

A: Given query is to find series converges or diverges.

Q: (b) ( )Find the inverse Laplace transform 2 2s +3 (s - 5)(s +3) 82 +4

A:

Q: Find the arc length parameter along the given curve from the point where t= 0 by evaluating the…

A: answer is in next step

Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: Find a power series representation for f (t) = ln(10 – t). %3D

A:

Q: A commodity has a demand function modeled by p = 108 – 0.5x and a total cost function modeled by C =…

A: Here, the demand function is: p=108-0.5x And, the cost function is: C=30x+34.75 where x is the…

Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: Given query is to find statement is true or false.

Q: _5. Given the fox²dx, which of the following is the integrand? A. O B. 2 C. x D. dx

A:

Q: Problem #7: (a) Solve the initial value problem (x - 1)y' - y = 16(x - 1), (2) = 0 (b) Write the…

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Q: 1. Find the lim f(x), value of f(-1). Is the function continuous everywhere? If not, where is it…

A: The objective is to solve the above question.

Q: FInd the x-intercept of the plane 2x+5y+z=10

A:

Q: Given the points A(-2, 3, 1), B(0, 0, 2), and C(-1, 5, -2) Express the vector v = (3,2,7) as a sum…

A:

Q: What are intervals of concavity of the function f(x) = -2x – 6x² – 3 ? a. Concave upward on (-o, -1)…

A: Given query is to find the interval where function is concave up and down.

Q: - «) lim (2 – ez x→0

A:

Q: Jk, when = & Case y: 2 Sing

A: Solution 1:

Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 1 9n2 + 8 n- 1…

A:

Q: The power series representation of 8. f (x) = x+7 centered at x=2 is: O :- 8 8 8 8 81 (*- 2) + (x-2)…

A: Topic = Series

Q: 10. A boy is flying a kite on a string. The kite is 120 ft above the ground and the wind is blowing…

A:

Q: Using Laplace transform to solve the IVP: y" – 9y = e *, y(0) = 0, /(0) = 0 %3D we find the solution…

A: The given IVP is y''-9y =e-3t,   y(0) =0, y'(0) =0 To solve the problem we must know the following…

Q: C Fnd the firet order parho derivohve of 4.5 f(x,4,2)= e* +y2 1.

A: We have to find the partial derivatives.   According to our guidelines we can solve only one…

Q: 1. Find the equation of the plane containing the lines L1 and L2 given below: z = 4t + 3 z = -4s – 1…

A: Given :L1:  x=2t+1, y=3t+2, z=4t+3L2 : x=s+2, y=2s+4, z=-4s-1

Q: Calculus What is the inverse of f(x)= x^3 +x -4

A:

Q: dx x3+27 8. Evaluate

A: We have to find the integral

Q: Determine the exact value of 2 sincos cos 12 12

A: Given query is to find the exact value of the expression.

Q: Use Shell Method only Find the volume of the solid obtained by rotating about the x- axis of the…

A:

Q: 19. cos (20) 1/2

A: We will find the value of θ in the following step.

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 2…

A:

Q: A deli sells 720 sandwiches per day at a price of $6 each. ... A market survey shows that for every…

A: Let price reduce x times Price of deli = 6 - 0.1x Number of deli sells = 720 + 20x   Revenue

Q: 3. Find where the curves intersect, draw a sketch of the region, and compute the volume when the…

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Q: What are the local extreme values of the function f(x) = x³ – 3x + 2?

A: