an+1 If lim then the series > an an n=15 may or may not converge. Not enough information. converges absolutely. O diverges.

Q: Evaluate dydx. О а. 3/4ln4 ОБ. 3/2In2 O. 2/3ln3 O d. 5/6ln6

A:

Q: Without using technology, solve the equation: log(x + 10) – log(x – 5) = 2

A: Solution of question is written in below steps.

Q: Show that Q(V3, V3) = Q(v3+ V3) %3D

A:

Q: (a) A function is labeled as, "odd" if has the property that: f(-x) = -f(x) for all values of x.…

A: Solving

Q: Find dy/dx by implicit differentiation. (sin nx + cos my) 5 57 dy/dx = %3D

A:

Q: Sketch both parametric curves below. Then determine if they intersect. If they intersect, find the…

A: Consider the parametric curves C1:    x1(t)=2cost,  y1(t)=2sintC2:    x2(t)=sint,  y1(t)=sint

Q: V9 – 4x2 x2

A:

Q: | 2f(x) + ldx

A:

Q: 5. The initial value problem which describes the motion of a certain undamped harmonic oscillator is…

A: We have to solve the given initial value problem and find the amplitude, period.

Q: Given the triangle below, find the angle 0. 4 Give your answer in degrees rounded to the nearest…

A:

Q: 2) Use Green's Theorem to compute f F. df where F=(3x +4y) i + 2xyj and C is the triangular path…

A: Use green's theorem

Q: Find the gradient of the function at the given point. In(x2 - Y) - 9, (3, 8) Vz(3, 8) =

A:

Q: . Write step by step solutions and justify your answers. 1-- x² y" – 4xy + 4y = 0. Consider the DE:…

A:

Q: 6. Which of the following vectors are linear combinations of the vectors in S? 6. a. v = | 5 T;S =…

A:

Q: (a) L dr 00 x4+1

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

Q: 3. Find the period and amplitude of: y = 4 +cos (*) COS

A:

Q: Find the critical numbers of the function. x – 1 | f(x) : x² + 4

A: find the critical points of the function f(x)=x-1x2+4

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A:

Q: Find an angle e with 0° < 0 < 360° that has the same: Sine as 20°: e = degrees Cosine as 20°: 0 =…

A:

Q: y = 2x' - x' +x+1 when x =1

A:

Q: Given the function f(x) = +x evaluate the following information a) Find the critical points of this…

A: As per the company's guidelines, we are supposed to solve the first three subparts for you, kindly…

Q: f(x) = 12x + x - x°, g(x) = 0 ... The area is (Type an integer or a simplified fraction)

A: Given query is to find the area of the shades region.

Q: Determine all critical points for the function. f(x) = (x - 4)³

A:

Q: a. Find the critical points of the following function on the given interval. b. Use a graphing…

A: Given problem:-

Q: Find and describe the intersection of the following line and plane: T:2x+3y-4z =-7 and r = (4,2,5)…

A:

Q: Find the integration 3x2 - 8x +13 xp. x3 + x2 -5x + 13

A:

Q: and write your answer in summation (sigma) notation. Then write down the first three non-zero terms…

A:

Q: 3) Chain rule: y = (3x2 - 3x- 2)2 1/2

A:

Q: II) By using the limit definition of derivative, prove the identity J dzf(2)8' (2) = - / da f…

A:

Q: |r sec? 3rdx

A: Here we have to solve the integration by using integration by

Q: y=3 13 x-3-y 3

A: V = 2π∫ yf(y)dy f(y) = 3 -(3-y2) f(y) = y2 +3 -3 now limit from 0 to 3  V = 2π∫03 yf(y)dy V = 2π∫03…

Q: If 0 = then %3D sin(e) = cos(0) = CO: !3! Give exact values. No decimals allowed! V2 With functions…

A:

Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. (a) lim…

A:

Q: Find the exact values of the remaining trigonometric functions of 0 satisfying the given conditions.…

A:

Q: 6. ( Problems 4 and 5 continued. Sketch p = 0 in spherical coordinates. !!

A:

Q: Compute Ay and dy for the given values of x and dx = Ax. (Round your answers to three decimal…

A: We need to find ∆y and dy

Q: Find the amount of an annuity with income function c(t), interest rate r, and term T. (Round your…

A:

Q: Find the most general antiderivative of the following functions. (a) f(x) = 3/x-2cosx-10/sqaure root…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.…

A: Formula used:logan=nlogalogab=log(a)-log(b)loga.b=log(a)+log(b)

Q: A = (; ) .3

A:

Q: solve

A: We have to choose the correct option from the given options according to the given information

Q: Find the intersection point of the two lines: [x, y, z] = [–2, 3, –3] + t[1, –1, 2] and [x, y, z]…

A:

Q: Lim

A:

Q: du dy dy du du dx Inner (u) dy du Function Outer %3D (v) dx dx y = (3x² + 5x – 5)³ | u = 3x² + 5x –…

A: Here we have to solve the given derivatives.

Q: Find the general solution of the following differential equation. y" – 9y' + 14y = 0 NOTE: Use c,…

A:

Q: Find f. f"(x) = cos(x), f(0) = 2, f'(0) = 8, f"(0) = 5 f(x) =

A:

Q: a cost function of C=16x2−133x+9878C=16x2-133x+9878, where CC is the cost in dollars and xx is the…

A: Given query is to find the units to minimize the cost.

Q: 00 Does the series (-1)n+15+n" 5 converge absolutely, converge conditionally, or diverge? n=1 Choose…

A:

Q: Find the area, A, of the region enclosed by the cardioid r = 10 + 10 cos 0. NOTE: Enter the exact…

A: solution given below

Q: If total revenue is R=50Q-2Q^2. At what value of Q will marginal revenue by -10?

A: