Question 21 (-1 )dr In (z + a+ 1) + v3 sin In ( + + 1)-3 tan O 2 In(z +a + 1)-V3 sin () 2 lu(r i tan()

Q: p.564/ use Trapezoidal method and Simpsons' rule to evaluate.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: -2

A:

Q: Evaluate the limit 11г3 — 7? — 9х lim 10— 5х — 5а3 I+ 00

A: This question can be solved using the concept of limits.

Q: Maximum Oil Production It has been estimated that the total production of oil from a certain oil…

A: given : Total oil production T(t) = −1000(t + 11)e−0.1t + 11,000   Production at time t given by

Q: Twenty-five

A: We will find the probability.

Q: The letters r and 0 represent polar coordinates. Write the given equation using r-4 cos 0 Complete…

A:

Q: Differentiate the following using logarithmic differentiation y = x=

A:

Q: A particle moves with its position given by z = cos(t) and y = sin(), where positions are given in…

A:

Q: Find the exact value of each of the following trigonometric functions of 0. 12 90° <0<180° 13 sin 0…

A: Given:-sinθ=1213,        90°&lt;θ&lt;180°

Q: Use implicit differentiation to find the gradient of the tangent line for xy 6xy - 2x = 9 at the…

A: topic- application of derivative

Q: -12 1. ("(25x – 46x + 3)dx -12

A: topic- definite integral if f(x) is a odd function∫-aaf(x)=0

Q: Find (a) the critical numbers of f (if any) (b) the open intervals on which the function is…

A:

Q: fF(x)dx = -9 and Si (x)dx = . 3 tind f(x)dx Given that

A: We can solve the answer using the properties of definite integral as below.

Q: 3/2 x*(G²- x²) %z

A: …

Q: Determine the convergence or divergence of the series. (If you need to use o or -co, enter INFINITY…

A:

Q: 4) 4+ 3+ -5 -4 -3 -2 3 4 5 r -2+ -3+ -4+ 2.

A:

Q: dy 4 V -1

A:

Q: Evaluating Indefinite Integrals - Partial Fraction Decomposition Suppose we want to evaluate the…

A:

Q: 9) use the snell metnod to sef up end eveluete tueinteyrel tret gives the volume of the solid…

A: Using shell method, volume is evaluated.

Q: .5 2. 2. dx =D dx- (6+z*) o o (x²+9)½ 's (x²+9)½

A:

Q: Indicate whether the given series converges or diverges. If it converges, find its sum. 00 cos kT…

A:

Q: Determine whether the series converges absolutely or conditionally, or diverges. (-1)" n + 2 n = 0…

A: Alternating series test:∑n=0∞ (-1)nn+2an=(-1)nn+2bn=1n+2limn→∞1n+2 =0and bn+1-bn=1n+3-1n+2…

Q: If f(x) = V15x, find f (x). Find f (3).

A:

Q: Show that g : B → A, g(x) = √ln x is the inverse of f. Why is f^−1(x) 6 ≠ −√ln x?

A:

Q: Solve the equation on the interval 0s0<2x. 50 = 2 sec 50 What are the solutions to sec T=2 in the…

A:

Q: 3) Find an equation for the tangent line to the graph at the specified value of x. y=x²V5-x² ,x=1

A:

Q: Use the figure to evaluate the following function, given that h(x) = tan x. (Simplify your answer.…

A: This question can be solved using the concept of trigonometry.

Q: Find the area of the shaded region. x = 2- y2 -2 2 11 A 10 - 3. 8. D. 3. 2.

A: The area of the Shaded Region: the shaded zone's area is computed by subtracting the area of a…

Q: Problem 7. Solve the equation logx+log(x+1) = log12 and leave your answer in exact value

A: Solve for the value of X

Q: Using (sin x) = cos x and (cos x) = – sin r dr dr Show that # (cot x) = - csc² x dr

A: We need to show that ddx(cot x) = -csc2 x Given ddx(sin x) = cos x and ddx(cos x) = -sin x

Q: 18. Find xV4x -3 dx 18. SxV4x - 3 dx

A: Use substitution to solve

Q: V3x - 2 lim tan- %3D x + V3

A:

Q: Find the sum of the series. s 7(-1)"72n + 2n + 1(2n + 1)! 00 Σ n = 0

A:

Q: 14. The f'(4) for y = v3x2 + 1

A:

Q: EXAMPLE 1: Consider the graph of the funetion f given below. Using the given graph, determine if the…

A: topic- continuity of a function

Q: alculate the Laplace transform of each of the followir a. 7t b. e' sin(t) c. u(t - 3)e2

A: We can  solve 2 problems only.

Q: A mass attached to a vertical spring has position function given by 8(t) = 4 sin(4t) where t is…

A:

Q: Find the tangent plane to the equation z 2y cos(5x – 4y) at the point (4,5, 10)

A: Given; z=2ycos(5x-4y) at the point (4,5,10)

Q: solve with complete solution, tell whether the improper integral is convergent or divergent

A: Yes the improper integral is convergent. see below the answer and calculation

Q: Find y ify=xIn(9x+1) 2.

A:

Q: Consider the function f(x) = 5 – 4x² , – 4 < x < 2. - The absolute maximum value is and this occurs…

A:

Q: 7.372 The rate of change of the weight of a mouse, can be modeled by r(t) grams per week, where t t…

A:

Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. Find the…

A: A detailed solution is given below.

Q: Differentiate the following using implicit differentiation 3/a + V = 7

A:

Q: 1 Σ 6" - 5 n = 1 8

A: Given :

Q: 9. (D² - 1)y = 2/(e – e-*).

A:

Q: dy a) If all of y = 4n2 + 5n + 1,x 3n + 2 find dx b) if yx2+Vx + xy? = 1 prove that = -at (1,-1)

A: Please see the answer below.

Q: Find div F and curl F if F(x, y, z) = xz°i +2y°xj+62

A: Given: Fx,y,z=xz6i+2y8x2j+6z2yk

Q: 6x² +19x+13 2x +5 5.

A:

Q: partial fractions to frd use 2 |- x9 + x8 2 3

A: Using partial fraction solving the given integration.