Use differentlals and the graph of f to approximate the following. (Round your answers to three decimal places.) 2- 2.1) (a) 1.9) - (b) 2.01) -

Q: Use the Ratio Test to determine whether the series convergent or divergent. 00 n! nD n = 1 Identify…

A: Solution:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Here to of the function is at point (1,5), On left side function is increasing ,and at right side…

Q: Given Rn 2 4 2 6( 6 + i- 2 3(6 + i- express n i=1 n n the limit as n → 0 as a definite integral,…

A:

Q: etermine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A:

Q: 1) Find the first 8 terms of the recursive sequence. =-3 2,a

A: The given recursive sequence is;  an=an-1 - an-2.

Q: Solve the differential equations: (a) = 4x+2x+5 where V(1) = 10 .

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

A:

Q: Write the equation of the function graphed below.

A:

Q: Determine the area of the gtven reglon. y = x + sin x Step 1 Note that for the given reglon, x…

A:

Q: 13. Given the points A(3,5) and B(- 3, - 7), find a. the vector equation of the line. b. the…

A: Here, the given points are A(3,5) & B(-3,-7)

Q: Maclaurin series for the given function

A:

Q: 1 over the interval (3, 6] using five approximating Estimate the area under the graph of f(x): x2 +…

A: Solve the following

Q: Corfect The weekly revenue from the production and sale of x units of salt is given by R(x) = 119x-…

A: Given query is to find the units for maximum profit.

Q: 5. Evaluate the integral Vxdi +C 2/3 +C 1 +C 3x213 O None of these

A:

Q: Consider the function f(x) = 9x° + 9x® – 6xª – 5. - 5. - Enter an antiderivative of f(x). Do not…

A:

Q: 25. Find the intersection of the line [x, y, 2] = [1,4, – 2] + 1(1, – 1,3] and the plane 2r – 4y +…

A:

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

A:

Q: t*dt then If f(x) = 3 f'(x) =

A:

Q: 10* dx (10*+1)5

A: We can solve the integration as below.

Q: dy

A:

Q: Evaluate the definite integral by the limit definition. Step 1 To find the definite integral 9 dy by…

A:

Q: 21. Determine the value of k so that i = [- 5,k, 3] and i = [1,2, – 7] are orthogonal.

A:

Q: Find the area bounded by the curve y = 4x-x2 and y = 3. %3D Answer:

A: Solve the following

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 fe) = [, (; - )". dt…

A:

Q: Glven fx) dx = 9 and fx) dx = -4, evaluate the following. Exercise (a) Step 1 To evaluate the…

A:

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) = 9.

A: Given

Q: If f(w) (3w), find f'(w). Use exact values. = COS f'(w) =

A: We can find the exact answer as below.

Q: Let T10 (x): be the Taylor polynomial of degree 10 of the function f(x) = In(1+ x) at a = 0. Suppose…

A: The possible value of x for which this approximation is within 0.001 of the right answer is 0 < x…

Q: goo3D 4X Sxt7

A:

Q: valuate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A:

Q: Determine the explicit formula for the nth term of the sequence written below. Note that the first…

A: To determine the explicit formula for the nth term of the sequence written below.14, 13, 25, 49,…

Q: Given x² + 13x + • 40 f(t) = 1+ cos2(x) At what value of t does the local max of f(t) occur? rp- t =

A: Here, the given function is: f(t)=∫0tx2+13x+401+cos2xdx

Q: A physical education teacher found that 62% of the students exceeded the minimum standards. Which…

A:

Q: Find the interval of convergence of the series. (x - 4)n Σ 8+ 5n n=0 45 19 <x< 8 -1 < x< 9 -1 sxs9…

A:

Q: 8. True or False: If lim an = 0, then an converges. %3D n=0 (a) True (b) False

A: Solved below

Q: What is the radius of convergence of (п + 2)! (x+1)"? n! n=0

A:

Q: Determine the general solutions of the following differential equations. 1. (2x - xy2 - 2y + 3)dx –…

A: We can solve 1 problem only.

Q: 3End any possible angle LB if ZA=30°, a=14 and b=10

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given:-the region bounded by x=y4,  x=1rotating about the line x=7using washer/disk…

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: We have to find if the series converges or diverges.

Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let rr…

A: Given ,  A cylinder (round can) has a circular base and a circular top with vertical sides in…

Q: Determine the slope of the tangent line to the ellipse 5x? – 6xy + 5y² = 16 at the point P(-1,1).

A: Follow next step

Q: Write the sum using sigma notation: 8 + 12 + 16 + 20 + ...+ 36 = ) B, where n=1 A = B =

A:

Q: Find the limit. Show all work. Vx+5 -3 1. lim X- 4

A: We have to find the limit of given function

Q: 1. Consider the function f(x) =-2(3x– 3)* + 1. a) State transformations. b) Use TWO of the following…

A:

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: In each case determine if the Diophantine Equation has a solution. If it does find two solutions.…

A: Euclidean algorithm: Note that the greatest integer that divides both A and B is the Greatest Common…

Q: An advertising agency spends £x on a newspaper campaign and a further £y promoting its client's…

A: The Multiplier Method of Lagrange We may need to maximize (minimize) a function that is constrained…

Q: how the following series is conditionally co -(-1)" Wi

A: Given