In(x) f(x) =x

Q: (5x² + 1)²(10x) dx Identify the u and the du:

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Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the r...

A:

Q: ∫x/(1+x4) dx=?

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Q: 8x Use - ∞ and o when appropriate. Find the limits in a), b), and c) below for the function f(x) : X...

A: limx→a f(x) exists if and only if limx→a+ f(x)  and  limx→a- f(x) exists.

Q: 9. An amount of $12, 000 is deposited in a bank that pays interest at a rate of 3.5%, compounded con...

A: Given :Total Deposited amount = $12,000Rate = 3.5%Time = 4 years

Q: Evaluate the expression using the given figure to obtain either a or B. 35 -1 (a) tan 12 12 (b) sin ...

A: tan-13512

Q: 5. Calculate the derivative of f(x) = Use this result to determine whether the sequ x2 + 1 an = n2. ...

A:

Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certai...

A: We have to find rate of change of the brightness after t days and 5days

Q: Question The graph of y =f(x) is shown below (dashed curve). Manipulate the green draggable points t...

A:

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assum...

A: Let's find. 

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

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Q: A number of matrices are defined as [4 5] [A] = |1 2 L5 6] [4 3 71 [B] = 1 2 6 l2 0 4] Perform the f...

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Q: Consider the following. 2x3 +5x2-32x-80 x2 x) %3D - 9x + 20 (a) State the domain of the function. al...

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Q: 3. (a) P - 3e + 2x 32

A: By our policy, we are allowed to solve only one question at a time. Kindly repost the other question...

Q: Consider the function f(æ) = x²e3". For this function there are three important intervals: (- 0, A],...

A: The given function is  f(x)= x2e3x  Find critical point and interval of increasing and decreasing. 

Q: Q12. The amount of infected people S in thousands by a new flu variant depends on the time t in days...

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Q: Evaluate the following definite integral. No decimal entries. Find exact value. 19 15х + 7 dx х — 7 ...

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Q: 15 A bridge has a parabolic span as shown, w? with equation d = - + 200 800 where d is the depth of ...

A: Given that parabolic spanwith equation d=-ω2800+200Solution:a. if function is even than ω is replace...

Q: arctan x dx (けx) It X

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Q: Differentiate the following. Simplify your answer completely. Write your answer without negative exp...

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Q: 12. Solve the following linear systems in terms of the parameter a, b, cER ax +y+z = 1 a.) {r+ ay + ...

A: Note: “Since you have posted multiple questions, we will solve first question for you. To get remain...

Q: a) fx°/4-25x² dx

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Q: u du Formula Answer dy 9. ey sin( e-y)

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Q: (2+7sin 2 dr 3. Co s 2

A: Given: I=∫2+7sin3zcos2zdz We know that the trigonometric identities; 1). sin2θ+cos2θ=12). 1cosθ=secθ...

Q: 10. Determine which of the following limits exist and does not exist. a. b. 2 - 2 3x - 9 lim 25 * +5...

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

Q: If F(x) = f(g(x)), where f(5) = 7, f '(5) = 2, f '(2) = 3, g(2) = 5, and g'(2) = 3, find F '(2). F '...

A:

Q: aqu o sanb Using Formula i and solving for the required integral, we get j sec's de - {(see x tan x ...

A:

Q: e" corh w dw

A: Explained below 

Q: Problem 5 Find the four points Gaussian quadrature formulae given by Roots, ri Coefficients, Ci 0.86...

A: We want to find integral of the function. 

Q: Use the right triangle and the given information to solve the triangle. 0. a = 3, c=7; find b, a, an...

A: This question is related to triangles, we will solve it using given information. 

Q: 24 Determine the values of the trigonometric functions of 0, where cos 0 = and tan 0 = 25 7 sin 0 = ...

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Q: QUESTION 7 Write the form of the following argument, and prove that following is a vali If 91 is a p...

A: Given: Statement:  prove that following is a vali If 91 is a prime number, then 13 is not a divisor ...

Q: dx ト メ

A: Method of substitution is used 

Q: Find the equation of the tangent line on 3xe™v² - ez 2ye at (1,1)

A: Given  3xexy2-ex3=2yex2first we find dydx at point (1,1)  

Q: Consider the following equation. xy + 2x + 9x2 = 6 (a) Find dy/dx by implicit differentiation. y'% =...

A: We have to find differentiation. Given     xy+2x+9x2=6

Q: Consider the function f(x) = – 4(x – 3)2/3. For this function there are two important open intervals...

A: To find: The value of A which is critical number also need to determine the interval -∞,A,A,∞ at whi...

Q: Use the graph of the function f shown to estimate the indicated limits and the function value. Compl...

A: The objective is to find the limit of the above function at x equal to 0.

Q: if r 5 3z, Given the function f(x) , determine which among I- 4, Va, the following limits do not exi...

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Q: 7. Using the rules of differential or integration, find the formula for the sum of the following pow...

A: We will first differentiate the given series that is equal to S(x). Then will take common 2 and canc...

Q: Please solve 1,3,7 by using partial fraction example on the picture

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one. ...

Q: A man earned wages of $42,000, received $2600 in interest from a savings account, and contributed $2...

A: Given:   Wage = 42000  Interest = 2600 Adjustments = 2800 Personal exemption = 3100 Deduction = 5220

Q: Differentiate (a). y = 23z+sin z² %3D (b). y = r³3=

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Q: 1. S dx x³+2x x2+1

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: I have stated the used formulas in the solution.

Q: 5. Find T, N, and xfor the plane curve r(t) = (t2, sin t –t cost,cost +t sin t); t > 0.

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Q: First make a substitution and then use integration by parts to evaluate the integral 7x°e" dx Note: ...

A:

Q: , Which of the following processes is stationary? A) An MA(1) process with 0 = -1.6 B) Y, = 58.46 + ...

A: The stationary process is 

Q: Given the graph of the function below, what is lim f(x) x→1? a.-3 b.4 c.2 d.∞

A: we want to determine the value f(x)  as x goes to 1

Q: Consider the region bounded by the graphs of y = ax", y = ab°, and x = 0. (b > 1. See Figure.) (a) F...

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Q: ctions of 0 by using the given information. cos 0= and sin 0<0 41 = (Type an integer or a fraction.)

A: Topic:- trigonometry ratios