Find the area (in square units) of the region under the graph of the fu f(x) = 2x + 8 %3D square units

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Q: 5) The hypotenuse of a right triangle is 12 cm in length. Calculate the measures of the unknown…

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A: Given: fx,y,z=4x-y2e3xz       at     2,-1,0 Directional Derivative = Gradient of function x unit…

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Q: Find a formula for the total maintenance cost during the first x years. (Total maintenance should be…

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Q: (Ca' - x*

A: we know that,           integration of xn dx = xn+1n+1.  and x-y2= x2+y2-2xy

Q: Determine the critical numbers of g(x): + 16x). %3D 0= x4 - 8x2 +16 ーx4 t8x2 +0 -16 =E (-, g(x) = x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: x2+8z-9 a+6 key values of the function were ADDED together, their SUM total would be: Given the…

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Q: Compute the derivative of each function. f(x) = [sin(4² + x)] [cos(x* + 4)] %3D

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Q: ーx? + 4x +5 dx. Consider Using trigonometric substitution, what is the integral form in terms of

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Q: 3) Given: f(x)=x* - 5x'+9x? a) Use a sign analysis to show the intervals where f(x) is increasing,…

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Q: Find the area of the region bounded by y^2= 8x and y = 2x.

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Q: x'+8 if x + 2 The function f given by f(x) = is continuos at x = -2 x+2 -12 if x = 2

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Q: 4. S ( 12 x³ + 15 x - 20 ) dx

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Q: evaluate

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Find the derivative of the function. 5 + 6x - 4/x y% =

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Q: [ 1-x+2x²-q³ -d.x 6. x(x²–1)²

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Q: 1. Find (sin?) A 2 sin z cos a x* B 2 sin r" coS T* 1²-1 1. C 2 sin r? cos T² r² Inr D 2 sin r*…

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Q: Evaluate the iterated integral: e dydx

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Q: Given : S 6x³e**+3 dx. Using integration by parts (S udv = uv - fvdu) and letting u = f(x), dv =…

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Q: lim - Va +1

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Q: 7. Use the Method of Lagrange Multiplier to find the critical points of the function f(x,y, z) = 2x²…

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Q: The integral 15x* - x* - 43x – 19 (x + 1)2(x2 – 6x + 13) can be rewritten as

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Q: Evaluate the integral. dx :+ C J 22 Va2 – 36 x² /x? - NOTE: Enter the fully simplified answer with…

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Q: What is the volume of the region R = {(x, y, z) ER/l < x < 3; 2<y< 4;3 < z < 5} ? Select one: O None…

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Q: 5. sin x sin 4x dx c

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Q: (a) How many integers from 200 to 2000 inclusive are multiples of 4?  (b) How many integers from…

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Q: 3 3 What is the value of the integral 2x ydydx ? Select one: O 4/83 O None of these O 83/4 O 4/81 O…

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Q: For the function y = f(x) = 2e-0.3x (refer to the graph in the textbook), use definite integrals to…

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Q: g(t) = 2t3 + 3t² – 12t Find the intervals where g(t) is increasing and the intervals where g(t) is…

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Q: Which of the following is Inx – 6x + 18| + arctan(- (x – 3)) +C equal to? 2 – 6x + 18 x - 3 V 2 In…

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Q: ssignment : Determine the integral of the ff. functions 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

A: These questions are related indefinite integration, we will solve it using given information.

Q: " + Oy' + 9y = 0, v(0)= 1 and y'(0) = 4.

A: The given IVP is y"+6y'+9y=0,   y(0) =1, y'(0)=4 we have to solve the IVP.

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Q: Assume that $10000 is invested at an interest rate of 5% per year compounded continuously. (a) What…

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Q: Using trigonometric substitution, what is dx ? A sec + C 2x2 Vx² – 9 +C sec-1 6x2 none of the…

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Q: Given the function S 5x – 8 f(æ) = 5æ – 16 a 20 { x 0 Calculate the following values: f( – 1) =…

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Q: If the radius of an expanding circle is increasing half as quickly as the area is increasing, the…

A: Topic = Algebra The circumference at that moment is 2.

Q: True or False (Mean Value Theorem): For the function f(x) = ÷+ V on the interval (0,9]. If f' (c) =…

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Q: Compute the derivative of each function. (4x + 1)²] cot (5x) f(x) = ln

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Q: I. Evaluate | 4x² + 4x + 5 dx

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Q: I = 10+ 2s I - 1 y +3 12 - z Consider the lines defined by the equations ( : and l2: 9. y = 5s z =…

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