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Q: (ii) ƒ(x) = ,f'(6). %3D

A:

Q: Convert the polar equation to a rectangular equation. 7 r= 7-2 sin 0

A: use relation between polar coordinate and rectangle coordinates. 

Q: 1. L(e** + e-x + x²) = +- S-4 s+1 s3

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Q: Verify Stokes' theorem on a region which is a portion of the sphere r+y+2= 16 which lies above the p...

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Q: Use the cylindrical shells method to find the volume of the solid obtained by rotating the region bo...

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Q: Please Help me :<. The topic is about Higher Order DE.  Instruction: Fill in the missing details ...

A: As per guideline we have to solve three subparts Please repost the other question again We have to f...

Q: Find radius and fallowing power seriafi intervat 280 2- ha1

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Q: 9. State and prove the Mean Value Theorem for Definite Integrals by applying the Mean Value Theorem ...

A: We have to prove the mean value theorem.

Q: Use the Log Rule to find the indefinite integral. (Use C for the constant of integration. Remember t...

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Q: 3.2 Determine if the following statements are true or false. Give reason for your answer, also makin...

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Q: Find a formula for the n-th term of the Maclaurin polynomial for f(x) = 1+ x

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Q: Find positive numbers x and y satisfying the equation xy = 15 such that the sum 5x + y is as small a...

A: The solution is :

Q: costs $.30 per square yard to mow the lawn, how much does it cost to mow a triangular lawn that has ...

A:

Q: 3-2n 2. Suppose ak is an infinite series with partial sums Sn %3D 2+n k=1 etermine the value of lim ...

A: We have find limit

Q: 7. (Dª + 16D² + 36D + 19)y = 0 %3D

A:

Q: Consider the network shown in the figure to the right. (a) How many different spanning trees does th...

A:

Q: Calculate F(5) given that F(2) = 1 and F'(x) = x². Hint: Express F(5) - F(2) as a definite integral....

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Q: (c) Show that if r(x) = 6x and c(x) = x³ – 6x² +15x are your revenue and cost functions, then the be...

A: Given : r(x) = 6x c(x) = x3 - 6x2 +15x

Q: Use Cramer’s rule to solve the following systems of linear equations (7) 2a + 3b + 5c = 4 3a + 5b + ...

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Q: n(X+3)

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Q: Solve the initial-value problem by giving a function f(x) that satisfies 1 th f'(x) = x² – 4x - 5 an...

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Q: Suppose that f(z) = In(3 – 2). What is the third-degree Taylor polynomial for f centred at a = 2? Se...

A: We know that the Taylor series f(x) at a as follows: f(x)=f(a)+(x-a) f'(a) + (x-a)2f''(a) + (x-a)3f'...

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) X³VX2 + 19 dx

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Q: -2/=1) dz 7. Evaluate

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Q: Find the length of the curve given by c(t) = (t*, t², tº), for t E [0, 1].

A: Given:- C(t) =(t4 , t2, t0 )  To find:- Length of curve [0, 1]

Q: Answer the following homogeneous linear differential equations with constant coefficients.

A:

Q: Evaluate the two integrals given the graph. The two parts of the graph are semicircles. f(x) dx and ...

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Q: 47° 29' – 71° 18' – 71°

A: Angles have a full rotation of 360 degree. Out of that Each degree is divided into 60 equal parts ca...

Q: Solve the following General Solution of Non-Homogeneous Linear Differential Equations by Method of U...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A:

Q: Find the length of the curve. x=t3, y=t*, 0<i<2 Set up an integral and use a calculator to find the ...

A: Solution is given below:

Q: 4 dx 3x/10 In(3x) – (In(3x))²

A: Given : Indefinite integral ∫43x10 ln3x - ln3x2dx   To find : Evaluate the given integral?

Q: Q1 - Find the reduction formula for each of the following integrals iii. In = S x" cosh2x dx

A:

Q: Find p, q f /s° f(x)dx + fi3' f(x) dx = [,' f(x) dx. (Give your answers as whole or exact numbers.) ...

A: The value of p is 5 and q is 17.

Q: Find the Solution of the Initial and Boundary Value Problem: 1.) y′′ + 2y′ − 3y = 0 if y(0) = 3, y′...

A:

Q: Suppose that f(z) is a function that has a power series representation at all real values of z. When...

A: Find your ans below 

Q: Find the reduction formula for each of the following integrals Im,n = - (Inx)" -dx ii.

A: Here we have to find the reduction formula for the given function

Q: Problems 2. (D³ + 4D² + 9D + 10)y = –24e* when x = 0, y = 0, y' = –4, y" = 10

A:

Q: HoW ダ-y =1xe |

A: Solve the given problem.

Q: Write in standard form and then graph. a)2x2 + 2y2 –- 12x + 8y – 24 = 0 b)8x + x² – 2y = 64 – y²

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Q: ,-(x²+y²+z²)dV. R3

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Q: 1. Evaluate the limit, state which limit laws are used at each step: lim (2vx + x→9

A: Solution of given problem as follow

Q: A 500 gallon tank is completely filled with water. Pure water is poured into the tank at a rate of 5...

A: V = Volume of tank = 500 gallonsv˙in,w=pure water inflow volumetric rate = 5 galminv˙in,B= brine sol...

Q: Given the matrix 0. 4 47 3 -2 1 (a) find its determinant; Your answer is :

A:

Q: Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e5xy = sin ...

A: Explanation of the answer is as follows

Q: Homework: Find the values of a) sinh(3+4i) b) tan 3i c) sin+)

A: Solution of given problem followed by

Q: The City Council proposed to utilize government-owned land with an area of 21,600 square meters. One...

A: We are asked to find the dimension of the rectangular field which costs minimum.

Q: / y cos(r*)dA. R

A: Given:- Let R be the region in R2 bounded by the x-axis, the parabola y = x2 and the line x = 2

Q: What is the Laplace transformed version of this ODE a" + 3x' + 9x = e=t with initial conditions a (0...

A:

Q: $24 is available to make a rectangular storage container with a square base and open top. If the mat...

A: