f(x) = 15- (3-t)(r - 8t + 7)

Q: Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in...

A: topic- trigonometric identities sin(a+b)=sin(a)cos(b)+cos(a)sin(b)

Q: Consider the following sequence: {an} = {n – n}, Use a+1 - a, to show that the given sequence {a, } ...

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Q: Given: 5x cos 3x dx. If u = 3x, then the resulting integral is f(u)du. Find f ): 5/2 18 18 5/2 12 5/...

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Q: Q1) Evaluate the following integral using By Parts Method: y = х.In(x3 + x) dx

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

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Use the difference a+1 – an to show that the given sequence {a, } strictly increasing or strictly de...

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Q: #1 only

A: Topic:- differential equations

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k + 7 k(k +...

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Q: Given the line segment from the point (13, 7) when t = 0 to the point ( – 1, – 9) at t = 1, find the...

A: When t=0 then point (13,7) and t=1 then point (-1,-9)  

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

A: Given problem:- Find the Taylor polynomials of orders n = 0, 1, 2, 3 and 4 about x = x_{0} and then ...

Q: A cylindrical tank of radius 20 ft and height 3 ft is two-thirds filled with water. Find the work re...

A: This question can be solved using the concepts of application of integral.

Q: The standard form of the first order linear differential equation x'y'+ry +2=0is

A: The standard form of a first-order linear differential equation is:

Q: Write the first five terms of the sequence: 11 ln n) +oo Determine whether the sequence converges, a...

A: To write the first five terms of the sequence.11 ln nnn=1+∞To determine whether the sequence converg...

Q: 53. A statue 3 m high is standing on a base of 4 mhigh. IFan observer's eye is 1.5 mabove the ground...

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Q: Practice: Find the volume of the solids generated by rotating the area bounded with the given functi...

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Q: Answer the following questions for the function f(x) = - 8x - 36x +240x – 11. a. Find formulas for f...

A:  Given that fx=-8x3-36x2+240x-11To find : f' x,f'' xSolution :a  .fx=-8x3-36x2+240x-11f' x=-24x2-72x...

Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =...

Q: Consider the function f(x) = 2x° + 4x" – 8x² – 8. An antiderivative of f(x) is F(x) = Ax" + Bx™ + Cx...

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Q: Evaluate f-4*3 dx In4 b,- -3in4 +C C. In 64 d. none of the above Evaluate f4x cosx dx a. sin x + C b...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: Find the derivative of the following functions using the limit definition.  1. z =7y2- 11/y 2. f(z...

A: From limit definition of derivative we know, f'(z)=limh→0f(z+h)-f(z)hand f''(z)=limh→0f'(z+h)-f'(z)h

Q: k(k +7)

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Q: Write the complex number in polar form with argument 0 between 0 and 2n. -1 - V3i

A: Given query is to write the expression in Polar form.

Q: Consider the integral 2n* g(x) dx . There is a function g(x) such that when u = In x the resulting i...

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Q: Obtain the general and particular solution 3. xcos²ydx + tanydy = 0

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Q: Find the derivative of the function. f(z) = Vī – 8V7 f (x) 12r – 83x23

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Q: 1 (ke)3x For ſ k*e3*dx = + C. If u = 3x, then k =? 3 (1–In 2-1)

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Q: Fcx)-2メー3)ー4

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Use sigma notation to write the Maclaurin series for the function 11 In(1 + x)

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(0) – sec(0) s...

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Q: xdy+(y- xy + 2)dx =0 dx=0

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Q: Solve the initial value problem. dy + 5xy = 8x, y(0) = - 6 dx y =

A: topic - differential equations

Q: Write the factored form of the

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Q: .......

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Q: Determine whether the series converges using the Ratio test. Σ 4* k8 k=1 The series

A: Given query is to find series converges or diverges.

Q: y - y = 0

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos? X

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Q: xdy +(y– xy+2)dx = 0

A: The given differential equation is; xdx+(y-xy+2)dy=0

Q: a. What is the horizontal distance between anchor 1 and the base of the antenna? feet Preview b. Wha...

A: For solving this, 1st change radian to degree. Then apply trigonometric relation. 

Q: 2. Given: a, = 5, a4 = 14 Find: az =? а. 7 b. 8 с. 10 d. 12

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Q: Question 2 of 9 Which of the following functions is continuous on all values of x? Select the correc...

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Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: Find the derivative of the function. g(x) = 2(3 - 8x) g'(x)=

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Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter UNDEFINE...

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: The given series is: ∑k=1∞k!k8 Let, ak=k!k8; k≥1

Q: dx - 7y*; when y=1,x=-1 1. 2. (4+sine*)y' =e*(6sec e* -ycose");y(ln x) = 1/4

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Q: Is the function given oy 5x-4x-5, メ<5 x-5 2. Fx)=/ メ+1,×25 Cantinucus atX =52 why cir why not Z

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Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

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Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = 101nt y(t) = Vi (a) Cartes...

A: We need to eliminate parameter and find range for a and y.

Q: Evaluate f(3v+ dx

A: As per our guidelines we are only solve one question (i.e. the first question from start) and the re...