For the function f(x) = x +25, find f"(x). Then find f"(0) and f'"(8). f"(x)=

Q: csc² In x dx. X

A: according to our guideline we are supposed to answer only the first question if you want any particu...

Q: Establish the identity. cotu - tan u + 1=2 cos u cotu + tanu Write the left side in terms of sine an...

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Q: Establish the identity. (4 cos 0-2 sin 0)2 + (2 cos 0 +4 sin 0)2 = 20 %3D Rewrite the left side by r...

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Q: 1) A thermometer with an initial temperature of 75°C is placed in a room with a controllec temperatu...

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Q: Consider the system of equations shown below. 3w - 2x + 16y - 2z = -9 -w + 5x - 14y + 18z = 23 3w - ...

A: see below the answer and explanation

Q: dy y/x + x²/y²; y(1)=0 dx

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Q: Which of the following iterrated integrals correctly describe the following region 2 34

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Q: (x²-4x-4)(y²-1)dx + (x²-2x²+4x-8)ydy = 0 %3D

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Q: An exponential function f(x) = ab² passes through the points (0, 3) and (2, 48). What are the values...

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Q: An exponential function f(x) values of a and b? = ab" passes through the points (0, 11000) and (2, 5...

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Q: For which x value(s) is the function f(x)=sin'(2x) defined and not differentiable? Check all that ap...

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Q: Find the limit. sin(x) – 9x lim x+00 x+xe-x

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Q: (a) Find the domain of the vector function r(t) and sketch its range, where r(t) = (v25 – t², 1, vf²...

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Q: B. Determine all the roots of R(y) = 12y² + 11y – 5 C. Compute (f -g)(x) and (g. f)(x) for f(x) = 4x...

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Q: The integrating factor of the linear DE dy + 5y = -9 cos x, dx is the function H(2) = e 5z Select on...

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Q: (5x* +-) dx +2 (* +In x - e") dy = 0; y (1) = 0 e* ) dx +2 (x + In x - e*) dy = 0; y (1) = 0 8.

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

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Q: Given the differential equation 2y"-5y-3y= cot 3x 7. What kind of roots is determined? Real and dist...

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Q: Solve the following differential equations properly. a. y(x2 + xy - 2y2)dx + x(3y2 - xy - x2)dy = 0...

A: first we find the integrating factor then solve for the particular solution

Q: Show that 1, sinx, cosx are linearly independent.

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Q: a field of forces defined by DE IR le closed curve C inside D,it is sa S. I F.dr = 0 A) F(x, y) = (y...

A: We have to choose the correct answer from the given option according to the given condition

Q: y(2x? - xy + 1) dx + (x - y) dy = 0, ANS. y(2x – y) = c exp (-x?).

A: Given differential equation is y(2x2-xy+1)dx+(x-y)dy=0

Q: Q.90 What is the value of the definite integral, J da -xx ? a ¿ xp-

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Q: -5 log(2) + 8 log(x) – 6 log(y) =|

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Q: 6) At 4:00PM, a thermometer reading of 28°C is taken outside where the ambient temperature is -11°C....

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Q: In the theory of cubic splines, we choose cubic polynomials whose values, derivatives and second der...

A: We have to find derivatives of p(x) and q(x) and polynomial r(x).

Q: Evaluate the determinant of the matrix. The determinant is -2 1-4 1 0-1 7 -4 3.

A: Solution :

Q: Q: Evaluate : [f(x)dx, iff(x) = Vx -k +1;k-15x<k,k = 1, 2,.

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Q: Use linear approximation, i.e. the tangent line, to approximate V25.4 as follows: Let f(x) = VT. Fin...

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Q: sin 0 1- cos 0 = 2 csc 0 1 cos 0 ite the left side of the expression with sin 0(1- cos ) EGO

A: We can establish the identity as asked in the question as below

Q: If n=27, x(x-bar)=40, and s=14, construct a confidence interval at a 98% confidence level. Assume th...

A: Question is solved.

Q: (a) The rate of change of P is proportional to N. When t = 0, N = 250, and when t = 1, N = 400. What...

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Q: Question 6 Give a number between 3 and 4, that is in the range of the function f(x)=cos-lx.

A: Explanation of the answer is as follows

Q: Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval...

A: The solution are next step

Q: Evaluate the following double integral over the region R. dA; R= {(x.y): 0sxs4, 4sys 16} R Evaluate ...

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Q: 10. Work out the value of : Give answer in standard form. a) (5.32 x 10*) + (2.3 x 103) b) (0.653 x ...

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Q: Given f(x,y) = 4x sin(5xy). Find fxy(5,3). Give you answer correct to two decimal places.

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Q: 1. If tan-1 x x 1’ f(x) = Then S(x) dx =?

A: This question is related to definite integration, We will solve it using given information.

Q: Solve the following differential equations: y"(t) + 6y'(t) +10(t)=10t*+24t3 +2t²-12t +18

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Q: A telephone line hangs between n two poles at 12 m apart. In the shape of the catenary y = 50 cosh -...

A: In this question , we can find slope of this curve . so find derivative of y'(x).

Q: Solve by any method discussed in class. y(4 - 4y"=212 + sinh2t

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Q: dy Find dx of the following. (x = 1-t

A: Given: x=1-ty=1+tTo   find:dydx

Q: If f '(1)=4, f(1)=2, and g(x)= f(x)·tan¬(x), what is the slope of the tangent line to the curve y=g(...

A: We can solve the problem by obtaining the tangent by doing derivative of the function given.

Q: Prove the following: d -1 arccos(x) dx V1- x2

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Q: lve 7 cos(5x) =2 for the smallest three positive solution:

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Q: 107 (T – 2)", m=0 n=0

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Q: Determine if the vectors are Linearly Independent or Linearly Dependent. -2 [1 -5 =|2.X2) = -3 ,x6) ...

A: A set of n vectors of length n is linearly independent if the matrix with these vectors as columns h...

Q: dx -x = 2y², dy y(1) = 5

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Q: A grocery store estimates that the weekly profit (in dollars) from the production and sale of x case...

A: The given data is: P(x)=-5400+9.6x-0.0016x2 To use the marginal profit to estimate the increase in p...

Q: Find the determinant. 6 2 10 A = 35 3 10 3 4 det A =

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