2. Show that csc(2t) = tan(t)+cot(t) 2

Q: Find a parametric representation for the surface. the plane that passes through the point (0, -1, 5)…

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Q: xsec xsecxtanxdx

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Q: 9. The area of the region S that lies under the graph of the continuous function is the limit of the…

A: Please see the below picture for detailed solution.

Q: Given f(x) = ax³ + bx. Find a so that f has a relative extremum value (d.) 17/06 at (2,-1). (a.)…

A: Given:      fx=ax3+bx Relative extremum value at 2,-1 To be a relative extremum, f'x=0 For the value…

Q: Find the arc length of the polar curve, r = e30 from 0 = 0 to 0 = 2

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Q: Define convergence for sequences and give convergence tests for families of sequences.

A: Define convergence for sequences and give convergence tests for families of sequences.

Q: The velocity function (in meters per second) for a particle moving along a line is given by v(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given velocity function is  and the…

Q: Find the relative maximum and minimum values. f(x,y) = x² + y² - 10x+10y - 7 Select the correct…

A: Find the relative maximum and minimum values. f(x,y)=x2+y2-10x+10y-7

Q: 6. Given the recursive sequences, write out the first six terms: a) a₁ == 2, an+1 = nan n+1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: -2x › & (13 + √2²ª ln(1 + 3t¹)dt) equal to ? (b) What is the derivative (13+

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Q: 4) Evaluate ĺ jedydx 29f071p =

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Q: 1. Evaluate the following integral or state that it diverges: a) So dx (1+x) √x 2dx b) ² 24 +4 c) f%…

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Q: 1. If the region to be rotated is bounded by two curves, and the typical rectangle extends between…

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Q: Given f(x) = ax³ + bx² + 9x + c. Find b so that (2,3) is a point of inflection of the graph of f and…

A: The inflection point of the graph of f is (2, 3). So,                  f''(x)=0 at (2, 3)⇒6ax+2b=0…

Q: The 100 meter diameter wheel needs to be designed so that it rotates at a constant rate and every…

A: The above diagram is a general representation of a Ferris wheel. Point 'A' is the starting point and…

Q: Problem 6. The series n=2 1 n+1 diverges. (a) You cannot show divergence for this series using NTDT.…

A: The series ∑n=2∞ 1n+1 diverges.a To explain why you cannot show divergence for this series by using…

Q: Solve the Differential Equation using different methods  y'=x-4yx

A: We need to solve D.E.

Q: A window is being built and the bottom is a rectangle and the top is an equilateral triangle. If…

A: Area

Q: -2t Consider the following function: f (t) = 4e - 5sinh (t) + 1³

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Q: 134 134 Suppose that a 17 and b₁ = 7. Compute the sum. 134 Σ(12a₁ + 17b;) i=1 Question Help: Message…

A: given  ∑i=1134ai=17∑ bi =7i=1134

Q: Can someone explain how to find sin2x, cos2x, and tan2x if tanx=-2 and x terminates in quadrant IV?

A: Given:     tanx=-2 here x in quadrant IV.  we know that tanx=oppadj

Q: Find the first four nonzero terms of the binomial series for (1+x²)71/³

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Q: Use Stokes' Theorem to find the circulation of F = 3yi + 2zj + 2xk around a circle C of radius 5…

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Q: Determine the second derivative of the parametrically defined curve represented by the equations (t)…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: Find an antiderivative G of g(z) G(z) = 3 - 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Suppose g(x) is given by the following graph. y 1.0 0.5 -0.5 -1.0 -1.5 -2.0 (a) Compute each of the…

A: To find the values of definite integral of function g(x) whose graph is given

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. 00 (2) Σ…

A: To solve this problem we can use p-test , comparison test and root test

Q: 10 Consider the function f(x) 8x¹0 + 10x52x¹ – 9. Enter the antiderivative of f(x) + C

A: Solution: f(x)= 8x10+10x5-2x4-9 Antiderivative of f(x) is

Q: 2-x₂ B) AS²(2-1) √u du -1 1 3 -n cl /2-x dx= (2-u) √udu P

A: Given query is to find the integral after substitution.

Q: Let R be a relation on A = {1, 2, 3, 4}, such that: R4 = {(x,y) / x multiple of y} R5 = {(x,y)/y =…

A: Note : Not able to understand R6.

Q: Find a critical number of f when f'(x) = 2x³ + x² – 3x. (a.) x = NIW 2 (b.) x = 1 (c.) x = -1 (d.) x…

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Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4;    zeros…

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Q: Evaluate the integral dx (6x + 9) ³¹ by making the appropriate substitution: U= f dx (6x + 9)³

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Q: Find the general solution of the HLDE (D2 + 2D + 1)(D2 + 4)? = 0

A: The given equation is; (D2 + 2D + 1)(D2 + 4)y = 0

Q: complementary

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Q: √20 A sin x [In(cos.x)] + C B-[In(cos.x)]²+ c Ⓒ[In(sinx)]²+ C Dcos x [In(cos.x)] + C 2tan x ln…

A: Here, we have given an indefinite integral now we will solve it by using method of substitution.

Q: - sin 50 Find all tangent lines at the pole of the graph of. r = -

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Q: A spherical snowball melts in such a way that at the instant at which its radius is 2 centimeters,…

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Q: What is the value of k in the equation (A) 5/3 B 3/5 5/8 25 on [ (3√/ x² +5√/\x³) dx = ²3x³¾/³ +…

A: The given integral ∫3x23+5x35dx=95x53+258xk+C We have to find the value of k.

Q: Obtain a series representation for f(x) = x²e in powers of x. Specify the region of convergence.

A: Please see the below picture for detailed solution.

Q: Determine if the series below converges or diverges using the alternating series test. If the…

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Q: Write the equation of the circle centered at (0, 6) with radius 16.

A: Solve for the equation of the circle

Q: on’t graph. Just what are the inflection points and relative min/max?

A: here , we have some properties of a function f(x) ,  then ,  we have to find its inflection point…

Q: Problem 1. convergent or divergent. ∞ 1 n=1 n Use the Integral Test to determine whether the…

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Q: y = √4-x²

A: The given function y=4-x2. We have to sketch the graph of the function on the interval -2≤x≤2.

Q: 2. Find the values of r for which the differential equation has a solution of the given form. a.…

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Q: A function F(x) is called an antiderivative of f(x) if

A: Our Aim is to tell when does a function F(x) is called an antiderivative of f(x)=?

Q: Find the indefinite integrals of the following. Answer is already given. Show step by step on both…

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Q: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. If A =…

A: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. and A =…

Q: D.f'(x) is decreasing at x = | I E. The slope of f(x) is positive at x = F. The slope of f'(x) is…

A: We know f'(x) decreasing when f''(x)<0 The slope of f(x) positive when f'(x)>0 The slope of…