cot 2x dx . Evaluate the integral V cot2(2x) – 15 A In |cot (2x) + V cot²(2x) – 15| + C 2 csc (2x) B Arcsec 8 + C 4 © -- csc (2x) + C (c) Arcsec 4 4 cot (2x) D Arcsec + C 2/15 15

Q: Find the area of the region enclosed by the graphs of: y? = x+5 and y2 = 3 - x. 32 A) 3 16 B) 3. 64 ...

A:

Q: An oice has hwo envelope shupping machines or ning hgtther thex can Shupfa batch of . separately it ...

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to g...

Q: 10. y'+y = 3x³ + x; y(-1) = 4 су 3 3х3 + х; у(-1) %3D4

A:

Q: 2. f(x) = (8x³ – 7x)(7x¬ + 5x³) at x = -1

A:

Q: 3. A particle is moving with the given data. Find the position of the particle. a(1) = 3 cos/-2sint,...

A:

Q: • The domain of h is [-3, 3]. h" (x) 0 on -3 < a < -1 or 1 < <3 • There is a local maximum point at...

A:

Q: b) Find the specific solution to the following 2nd order non- homogeneous differential equations d²y...

A:

Q: Find the radius of convergence and the interval of convergence. 00 (x+ 6)* k=0 Radius of convergence...

A: We will find the radius of convergence and interval of convergence as shown below

Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thou...

A: Given query is to find the solution of the expression.

Q: II. Find the derivative of the following functions. 1. f(x) = x3+x x4-x2+1

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A:

Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that: ddx(cot-1x)=-1x2+1ddx(cos-1x)=-1...

Q: + - Consider (x. Using u-substitution and transformation of integrand, then the power formula applie...

A: Here we have to find values of  K,n from the integral after U substitution as shown below

Q: 2 an is an infinite series with partial sum Sy = 9 – N2 Suppose that n=1 16 What are the values of а...

A:

Q: Which of the following polar points is equivalent to the rectangular point (-2/3, 2)? Select all tha...

A:

Q: A rectangular lot which has an area 120sq.m will be divided into two portions such that the product ...

A: A rectangular lot which has an area 120sq.m will be divided into two portions such that the product ...

Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can...

A:

Q: Evaluate the following S(sec X + cot X)² dx

A:

Q: Assume the terms of a sequence (a,) are given by the following formula: Find the limit of the sequen...

A:

Q: Consider the function f(x. y. =) = 1 /g² + =². (a Find the gradient vector Vf. Write your final answ...

A:

Q: Given the matrix -8 7 Introduce the "-R" term to the diagonal of the matrix then find the quadratic ...

A: Given problem:-

Q: Find Ay and f'(x)Ax. For y = f(x) = X = - 1.6, and Ax = 0.1

A:

Q: a) Represent the parabola y = x² + 4 as a vector-valued function b) Sketch the vector valued functio...

A:

Q: sin(ln x) r→0+ In(sin x) Use Squeeze Theorem to evaluate lim

A:

Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bombard...

A: Given query is to find the age of the parchment.

Q: Find dy. y= (4x*+3)/2

A:

Q: f(x) cot(x) sin(x) f'(x) =|| Need Help? Read It Watch It

A:

Q: The sum of the series n2n+1 -1)" 9n+1(2n)!

A:

Q: The demand functions for two products are given below. p1, p2, q1, and q2 are the prices (in dollars...

A: Given that - The demand functions for two products are given below. p1, p2, q1, and q2 are the price...

Q: The following formula gives the probability of being dealt a full house (three cards of one kind and...

A: topic- permutation and combination

Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your convenience...

A:

Q: Use the formula for the binomial series: m(m-1)..(m-k+1). k! m(m-1) (1+ x)" = 1 + mx + oDx? + ... + ...

A:

Q: d²y and evaluate at (1, - 1): .2 Find X = t + 1 y = t2 – 1

A:

Q: One of the following series is convergent. A) E-1(-1)" 21 3n+1 100 2n B) E1(-1)" 3n+1 C) (-1)" 100 3...

A: We have to check whether the given series are convergent or not. To check convergence we use Alterna...

Q: A ball is launched vertically upward with a velocity of 128 ft/s, so its position function can be mo...

A: Given that - A ball is launched vertically upward with a velocity of 128ft / s so its position funct...

Q: Use Ayf'(x)Ax to find a decimal approximation of the radical expression. V18 What is the value found...

A:

Q: ne Q as the region bounded by the functions u(y) = Vy and v(y) = 1 between y = 2 and y gral below th...

A:

Q: Find and sketch the domain of the function. f(x,y) = Vy-5x- 6 Find the domain of the function. Expre...

A: We have to find and sketch the domain of the function 

Q: Find the limit by rewriting the fraction first. ху — Зу - 7х + 21 lim х - 3 (х,у)— (3,8) x#3 ху — Зу...

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about a = x0 and then find the nth Taylo...

A: The formula for the Taylor polynomial of degree n is: pn(x)=f(x0)+f'(x0)1!(x-x0)+f''(x0)2!(x-x0)2+.....

Q: Jsing u-substitution, the integral f(x)dx reduces to a new integral J glu) du. If g(u) = u+1 ', eval...

A: Given that gu=u+1u∫gudu=∫u+1udusolution:let, u+1=xdu=dx∫xx-1dx∫x-1+1x-1dx∫1+1x-1dx

Q: Find the sum of the series: 6 (n – 2)(n + 1) or conclude that it diverges. A) A B) C) D) 0.

A: option (C)  is correct see below the answer and calculation

Q: -dx. Using u-substitution and transformation of integrand, what is u and du? 3x- 2x Given: 3 dx A u=...

A:

Q: The integral: 2nx coS x dx represents the volume of a solid obtained by rotating the region: A) 0Sys...

A: We have to find the region that is rotated.

Q: dx = 5x - 3y dt dy - 2x - 14y dt It is converted into the matrix (we will talk about this in lesson ...

A: Let's find.

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the grap...

A: You can use disk method here to find the volume of revolution.  ⊙ The volume of rotation of y =f(x) ...

Q: The solution to the differential equation 1 - y = x cos(3x) is: Select one: O 1 x² cos(3x) + cx? O 3...

A:

Q: A certain substitution gives: So cot" x csc* x dx =-u² - - u*du %3D What is n? A) 7. B) 5. C) 4. D) ...

A:

Q: Find k (curvature) and t (torsion) for curve C represented by F(t)=(e^t,-e^t,(2t)^1/2)

A:

Q: 1. The graph of y=f(x) is drawn below, sketch a graph of y = s"(x).

A: Solution: According to the given graph points A(-1,3),   B(1,-3),   C(2,1)