If f is defined at x = a, then | f(x)dx is equal to O 1 O a O-a

Q: Consider the function f(x) whose second derivative is f''(x) = 7x + 7 sin(x). If f(0) = 2 and f'(0)…

A: We need to find f(5).

Q: From Rogawski ET 2e section 10.2, exercise 12. Write S = E n(n–1) n=7 1 as a telescoping series and…

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Q: Solve the equation: xydx + (x² + y²)dy = 0 O y²(2x² + y²) = c O 2y(2r² + y²) = c

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Q: Derivatives: using (4 step rule). 1. q(t)=10 + 5t – 1? 2. s(x)= 3-x ,2 4. f(x)=sin3xcos 3x 5.…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Which of the following is true for the series 3n? Σ 4n3 +9 n =0 Converges to 0 O Divergent O None…

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Q: S. Elli gives her son Paul 1¢ on his first birthday, 2¢ on his second birthday, 4¢ on his third…

A: Here, the amount doubles on every birthday starting from 1c. That is we have the sequence:…

Q: a, given that the line ax+y+1 = 0 is tangent to the grapl

A: We have to find the value of a according to the given information

Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) L-…

A: ddttn=n.tn-1

Q: 38. 4y" + 8y' + 3y = 0

A: Question no.38 solved

Q: Y=x(root2-x) Can someone explain why the domain is x=

A: The domain of the function is set of all possible input values for which function is defined.

Q: A distributor purchases industrial fans for $175 each. Its profit is 8.00% on selling price and…

A: Given: Mark up is 30% on the selling price. Hence selling price = 175 / (1 -30%) = $250

Q: Write the equation of a sine or cosine function to describe the graph. y 4- 3+ 2- 2n 10n -1 3 -2 -3

A: The equation of a sinusoidal wave is given by:y=p(sin(q(x+r))+dwhere p=amplitude, q=2πperiod,…

Q: show

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Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact…

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Q: Test the series for convergence or divergence. Eh=1 n35n (n+ 2)!

A: To test the series for convergence or divergence. ∑n=1∞ n·35nn+2!

Q: Solve the initial value problem. + x, x > 0; y(1) = 5 y = y = - 2x- +5 2x y = 2x2 2

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Q: Determine Y for y= 5x²(1 + x²).

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Q: A particle is moving along a straight line such that the distance traveled (in feet) afte t seconds…

A: Given: s(t)=8t2+30t Recall: velocity at time tv(t)=ddt(s(t))

Q: A region bounded by f(x) = 3 - x, y = 0, and x = 1 is shown. What is the volume of the solid formed…

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Q: 2nt H = 12+3 sin 365

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Q: Solve for what is asking (show complete solution). Your final answer must be in POLAR FORM. 3. Find…

A: Polar form

Q: Use the Product Rule to calculate the derivative for the function h(t) = (t² + 3) (t + 8) at t = 2.…

A: Product rule:d(uv) = u v' + v…

Q: Task 2: Find the point on the curve y = x^2 closest to the point (0, 15)

A: answer is in next step

Q: The value of the integral I= 3 dx is required in the development of the normal probability density…

A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

Q: Given: 6n An = 12n + 13 For both of the following answer blanks, decide whether the given sequence…

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Q: Let a = ci +j and b = 9i + 12j. Find c so that the angle between a and b is %3D Round your answers…

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Q: Find the divergence of the vector field F = < ya®, æ2®, zy* div F = Preview

A: Divergence of F→=yx3, xz6, zy4

Q: 4. P(1,-4,-5) and parallel to the plane 2r +4y- z 0. Also, sketch the graph of 2. Determine the…

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Q: You are designing an RPG (role-playing game) for a gaming console and have decided to use an open…

A: Here's the solution, please have a look at it...

Q: Alkernating - Use the llecom Series Theorem to prove that the sSeries which is the Sum from to…

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Q: Find the derivative of the function using the definition of derivative.

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Q: The number of milligrams D (h) of a certain drug that is in a patient's bloodstream h hours after…

A: To solve the given problem use the following formula. ln (e x) = x

Q: Problem 5 Find the general solution of the following equation: y" + 2y'- 15y = 0. Find the…

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Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

A: As you have asked for the solution of question 34 only, so I am solving only that. Thank you.   34.…

Q: Continuity: a. Determine the points of discontinuity and classify them. b. Give the domain and range…

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Q: From Rogawski ET 2e section 10.2, exercise 12. Write S = E 1 as a telescoping series and find its…

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Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

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Q: Find the directional derivative of f(x, y) 12x at P(4,0) in the x + y direction of Q(1,–1). NOTE:…

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Q: Write the equation of a sine or cosine function to describe the graph. y = || 1 -2 |-3 - -4-

A: The given graph can be obtained by stretching the graph of y = sin x  vertically by a factor of 2.…

Q: -3x cos (5x)dx

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Q: 5n+5 Determine whether the series Ln=1 n+1 is convergente or divergente.

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Q: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

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Q: Two corridors each 3 m wide intersect at 90 degrees. A ladder is being carried horizontally along…

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Q: A fast-food restaurant has a cost of production C(x)=13x+90 and a revenue function R(x)=8x. When…

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Q: g is defined by g: [0,1/1] → R

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Q: Find the value of integral / (22 + y + z)ds, where C is parmeterized by 7(t) = (5 cos(2t), 5…

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Q: 1. The curve xy=3 is revolved one revolution about the x-axis between the limits x 2 and x= 3.…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find the general solution of d²y dy 4- + 4y = 0 - %3D dx?

A: The given differential equation is d2ydx2-4dydx+4y=0.

Q: A region bounded byf (y) = Vỹ + 1, y = 4, y = 9, and x = 1 is shown. What is the volume of the solid…

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Q: Determine the number at which h(x) = V16 – x² is continuous. %3D | Vx²-1 Determine the largest…

A: Note that: A function is said to be a continuous function on some interval when the function is…