Given f''(x)=−9sin(3x) and f'(0)=4 and f(0)=−1.   Find f(π/4)=

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Q: Lesson 3.1. Slope of a Tangent Line to a Curve Activity 3.1. Find the general equation of the slope ...

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Q: Given: c = 10 b 24° a = 12 Find the following item (nearest whole number and degree). b =

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Q: Using appropriate substitution, csC x cotx the integral S dx is equal to: e+csc x

A: ∫cot(x)csc(x)csc(x)+edxSubstitute u=csc(x)+e→dudx=-cot(x)csc(x)→dx=-1cot(x)csc(x)du=-∫1udu=-ln(u)

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 RX) = È (-1...

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Q: 3x2+8x-12 dx x3+7x2+12x

A: As per the instruction, we will be answering only the first question.     ∫3x2+8x-12x3+7x2+12xdx=∫ -...

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Q: Use the formula for the binomial series: (1+x)™ = 1 + mx + x² + .… + m(m–1) m(m–1).-(m-k+1). k! + .....

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: To find The sequence of the series. Given information: The series is 3,311,3112,3113,...

Q: The function f(x,y) = 2x + 2y has an absolute maximum value and absolute minimum value subject to th...

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Q: dx X Jioin? x-9

A: ∫1x16ln2x-9dx

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Q: For each of the following functions, determine: (a.) the critical numbers of f (b.) all relative ext...

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Q: Q5) A) Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x ( then find the area o...

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Q: 2. Find Y if y =x +3x-7 and x 21 +1.

A: Given: y=x2+3x-7x=2t+1  

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 7 Pa(x) =

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Q: Use the formula for the binomial series: (1 + x)" 1 + mx + m(m-1)2 m(m-1)..(m-k+1), + + ... ... 2! k...

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Q: Question 1: Differentiate the functions. a) f(x) = 2 – 5cosx +x4 + 3* b) f(«) = +

A: I am attaching image so that you understand each and every step.

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: A force of 15.2 pounds makes an angle of 30 with the horizontal. Find the horizontal component of th...

A: Given force is 15.2 pounds Given angle is 30° Find the horizontal component of the force.

Q: A. Find the following limits: 2t2+3t+1 iii. t+0 lim 2t-1

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Q: Using appropriate substitution, 3 the integral J1 x(3+ln(2x))² dx is equal to: 1 1 1 1 3+ln 2 3+ln 6...

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Q: Power Rule Give 3 examples with solution and final answer. Make sure it is unique and not advanced.

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Q: Question 6 of 9 Find the Taylor polynomials of orders n = 0, 1,2, 3, and 4 about x = x0 and then fi...

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: If the entire pizza has a 16 inch diameter and is cut into 8 slices. Find the area of a slice of piz...

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Q: find the nth Maclaurin polynomial for the function in sigma notation. 11 cos(Tx) po(x) : P1(x) : P2(...

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Q: determine the vatie 84 + 5C of 206 90 12

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...