xー1 dx (x+1) (x-3)5

Q: 1. Differentiate and simplify. a. .2 y = 3x+3x ||

A:

Q: 2 X+2| dx -3

A:

Q: dy Find of sin x + cos y = ety. dx

A:

Q: Find the slope of the tangent line to the parametric equations: x = 3t2 - 3, y = 2t + 1 at t = 1. %D…

A:

Q: dy then dx If y = In(x/x² + 1), 2x2 + 1 C) x/x² + 1 2a2 +1 D) x(x² + 1) x² + x +1 E) x(x² + 1) 1 A)…

A: Find the derivative

Q: What is an equation for the cosine graph shown below? 11 -10 -8/ -6 -5 .4 -3 -2 -1 -135 -90 -45 45…

A:

Q: xdx sinh? (2x²)

A:

Q: Evaluate sin? xcos xdx .

A: To evaluate: ∫sin2x cos3x dx=∫sin2x cos2x cos x dx=∫sin2x (1-sin2x) cos x dx

Q: If fex) x2 f'co) 19+ t? dt find f'c3) %3D

A:

Q: Evaluate the definite integral (12a² – 6x + 6)dx 3.

A:

Q: 5x3+4x2-5 dx

A: Use power rule integration technique

Q: Use Disk Method only Find the volume of the solid formed by revolving the region bounded by the…

A:

Q: Use the finite difference method to solve the system of equation given by: y'"' + 2y" + y' + y = x²…

A: Given :y'''+2y''+y'+y=x2                                   (i)y(0)=0.2, y(1)=0.8 & y(2)=0.2We…

Q: dx lim dx %3D

A:

Q: What is the domain of y =f"(x) if f(x)=;(x-1)*?

A:

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

A: Solved below

Q: r(t) = 4 cos(7t)i+4sin(7t)j+3tk

A:

Q: sin() cos( 2

A: To Find :   ∫sinx2cos3x2dx   Note: 2sinAcosB=sin(A+B)+sin(A-B)

Q: Problem 2: Given a function 4x-1 f(x) = 2x +1 Use tabular method to determine if the limit of a…

A: we make chart of the values of x and the value of f(x) to see trend toward the limit…

Q: Evaluate the Integral using the following values. 8. * dx = 1,020, x dx = 30, dx = 6 (7x 11x +4) dx…

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: 1 -dx is The value of

A: ∫ xn dx = xn+1n+1+C .

Q: c). Using an integrating factor solve the equation dy + 2y/x = x dx

A:

Q: Find the value of the following definite integrals. Show your solution. 1. L* + 4) dx 2. f(cos x +…

A:

Q: Q1: Find dy/dx for the following functions:- (1) e – 3* = x sinh y (2) tan-12 = (Inx' + y²)

A:

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: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: A) y=3x^2+3x B) y=(e3x+e-3x)/2 C) y=log5(tanx).

Q: Consider the following. w = xyz, x = s + 5t, y = s – 5t, z = st? (a) Find dw/s and dw/at by using…

A: Using chain rule and converting function in term of s and t are differentiated.

Q: Use continuity to evaluate the limit. 8 + Vx lim 8 + x

A:

Q: : Consider the differential equation xy" + 3xy – 3y = 3x2 – 2x. %3D = x -3 (a) Verify that y1 = x…

A:

Q: Use cylindrical coordinates to evaluate the triple integral /|I x² + y? dV, where E is the solid…

A:

Q: Solve the triangle shown to the right. 60° (Simplify your answer.) as (Type an integer or decimal…

A:

Q: Find V x (V × F) if F(x,y, z) = 8xyj+ 4xyz k. V × (V × F) = (4(y+2), 4:x, 0)

A:

Q: For x = t3 + 2, y = 3 – t, give an equation in terms of x and y.

A:

Q: -24 e 5n costx dy Ln(sinx) dx

A: To solve the following problem

Q: AShift

A:

Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the…

A: Summation Thorem formula states that               ∑i=1ni=nn+12

Q: 11 a) Use the rational root theorem to find the possible rational roots of 12.r -8r-3T+2=0 b) List…

A:

Q: Prove the statement by mathematical induction. 3+5+7+…+(2n+1)=n(n+2) 1. Proposition is true…

A: The given statement,   3+5+7+....+2n+1=nn+2

Q: Find V · (V × F) if F(x, y, z) = 2 sin xi+ 8 cos(4.x – 5y)j + 2zk. %3D - V·(V × F) = %3D

A: Given :F(x,y,z)=2 sin xi+8 cos(4x-5y)j+2zkTo find : ∇·(∇×F)

Q: Given z = f(а, у), а — г(и, v), у — у(и, v), with 2(0, 2) = 1 and y(0,2) 4, calculate z,u(0, 2) in…

A: We have to find the value of zu(0,2).

Q: Find 8 i8 Z = -12 ti2

A:

Q: Evaluate the definite Integral by the limit definition. (x2 + 4) dx

A:

Q: Find two positive numbers that satisfy the glven requirements. The second number Is the redlprocal…

A:

Q: 1. 3 de

A: Given integral,         ∫3 dx

Q: 10 10 If f (x) dx=17 and f (x) dx=12, then f (x) dx=5 . 8. (A) True (B) False

A: To determine whether the given statement is true or false.

Q: 3/2 <(のーメ)CK dx 2. 2.

A:

Q: d 27. dx ], cos t dt

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

Q: Find r'(t). r(t) = (tan-'(9t))i+t cos(t)j – Vēk NOTE: Enter your answer in terms of i, j, and k.…

A: We can solve this as follows:

Q: Find [r(t) · u(t)] and [r(t) × u(t)] in two different ways. dt dt r(t) = ti + 8t2j + t³k, _u(t) =…

A: