Evaluate the following integral. 10 J (x − 1)(x² +9) dx

Q: Recently, a certain bank offered a 5-year CD that earns 2.34% compounded continuously. Use the given…

A: Principle amount(P) = $40,000Time of investment (t) = 5 yearsRate of Interest (r) = 2.34%

Q: Let f(x) = x³ + 6x² + 1. Calculate the derivative f'(x) = 3x² + 12x Calculate the second derivative…

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Q: (c) y = e-a sin(ax + 3). (e) y = tan(5x) 52+1 (d) y = a √a² + x²

A: (d/dx)(af(x)) = a(d/dx)(f(x)) , where a is constant. (u.v)' = u.v'+u'.v (u/v)' = (v.u' - u.v')/v2

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A: Given that expression we have to find the exact value of sint and sect

Q: Suppose upon applying Cramer's Rule to a system of equations in x, y and z, you get: D = 0, Dx = 0,…

A: Given that by applying Cramer's Rule to a system of equations in x,y and zwe get

Q: Consider the function f(x) 2x²10x + 11, 0 ≤ x ≤ 7. The absolute maximum of f(x) (on the given…

A: Given that the function, we have to find the absolute maximum and absolute minimum value

Q: = 0. (a) Using n as a general integer, write the solutions of sin(x) (Your answer should be a single…

A: The given equation(a) (b) The function is

Q: For the given cost function C(x) = 14400 + 300x + x²,

A: C(x)=14400+300x+x2

Q: lim x → 00 x² - 2x + 3 X +8

A: L=limx→∞x2−2x+3x+8

Q: You have 830 ft of fencing to make a pen for hogs. You have a river on one side of your property and…

A: Given Length of the field is l Given width of the fiels is w Total perimeter of the field is given…

Q: 2. ४ Solve. 3 - x < 14

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Q: 6 1 √3x - 6 If the integral divereges, enter ∞, -∞ or DNE as appropriate. Report EXACT answer if the…

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Q: For the given cost function C(x) = 44100 + 700x + x², First, find the average cost function. Use it…

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Q: Find the absolute extrema of the function over the region R. (In each case, R contains the…

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Q: Use the Generalized Power Rule to find the derivative of the function. f(x) = [(x6 + 5)7 + x]7

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Q: 1) Find the general solution of the following differential equation y" - 6y +9y = 0

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Q: sider the ction or a pen to enclose an rea. You have 400 ft of fencing to make a pen for hogs. If…

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Q: , by using a half-angle formula, find

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Q: If cos x = 4/5, csc x < 0, then sin 2x cos2x = tan 2x

A: Cosx=4/5 ,cscx&lt;0

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A: The given LPP,Maximize Subject to the constraints,The objective is to find the maximum value of the…

Q: (x+b, x≤1 16. f(x) = ax², x>1' Let f is the function given above. What are all the values of a and b…

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Q: Practice 1: Use the limit lim 8-0 sin =1 lim tan 41 1-0 sin 31 and trig identities to evaluate the…

A: Limt-0 tan(4t)/sin(3t)

Q: Find the absolute maximum and minimum values for the given function over the specified domain. f(x)…

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Q: PLEASE ANSWER ASAP!!!!!

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Q: Integrate: 1 -dy 36-y y³

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Q: Find the equation of the line tangent to the graph off at the indicated value of x. f(x) = 9+4 Inx;…

A: Given,

Q: Given sin(a)= and 0 < a </2, find the exact value of sin(a/2). Note: You are not allowed to use…

A: Given that the expression

Q: Find the difference quotient of f; that is find f(x+h)-f(x) h The difference quotient of f;…

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Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 ≤ 0 ≤ 2π.) (a) (8√3, 8, -7) (b)…

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Q: Let f be a differentiable function such that ƒ (3) = 15, ƒ (6) = 3, ƒ′ (3) = −8, and f' (6) = -2.The…

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Q: the integral if it is convergent. foo Ind x5 In(x) dx divergent. Evaluate

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Q: the system of equations corresponding to the augmented matrix. Then perform the row operations R₂ =…

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Q: Pickachu claims that the following integral can be solved they correct? Explain. [ 2² e²³ da

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Q: A line is given by the equation the given line. 5y - 6x +7=0 Find the slope of a line that is…

A: 5y-6x+7=0Determine the slope of the line which is perpendicular to the given line

Q: Use the graph shown to find the following. (a) The domain and range of the function (b) The…

A: As we can see from the graph, the vertical asymptote is: x=1So the domain is

Q: Use Cramer's Rule and the four-step method given in the lecture notes to solve the given system of…

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Q: Evaluate the limit at -infinity. (If an answer does not exist, enter DNE.) t 4t² + 1 lim t→-∞

A: Consider the limit

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 11 11…

A: I=∫011∫y11x2exydxdy

Q: Differentiate +6) In (3x5 + 11x³ +

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Q: find the derivative of a. f(x)= (x^4+3x)^-1 b. f(x)= cos^4x - 2x^2

A: a. b.

Q: A bottle of water with temperature 70 F is placed into a refrigerator with an internal temperatu 34…

A: The Newton cooling law surrounding temperaturetemperature of objectproportionality constant /cooling…

Q: Find all partial derivatives: 2. u= p-4 3q-p² 2. w e2x-3y, find 2. f(x, y): CHAPTER 17 17.1: Partial…

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Q: Find f(x) if y = f(x) satisfies dy dx e¯½ f sin x and ƒ (7) = ²/

A: Given the experience  and y=f(x) we have to find the solution f(x) by the condition

Q: Find the volume of the solid obtained by rotating the region bounded by y = 8x², z = 1, and y = 0,…

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Q: Find the absolute max and min values of f(x), if any, the given interval, and state where those…

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Q: Find all critical points of the following function. f(x,y) = − 8xy + 2x¹ +2y4 What are the critical…

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Q: 4. Find bound on the error Trapezodol Rule Simpsons Rule S_₁x dx;n=10 X -1

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Q: Integrate the function by using a trigonometric substitution $ 24 √49-x² dx, x27

A: Consider the integral   ,   x&lt;7

Q: Find the derivative a. f(x)= square root of ((2x+5/7x-9)) b. [(x^2-1)^5-x]^3

A: We are supposed  to answer only one question  as given question  is not a sub part of the first…

Q: Q2: Find x(t) = ?, for the following Differential Equation [x(t) + 4x(t) = 10], where x(0) = -1.

A: The given differential equation is