When you are evaluating the integral Which substitution can you use Which factor you have to ave [sin¹x cos³x dx Choose... Choose... +

Q: Suppose y = √2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dy X…

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Q: The graph of the first derivative f' of a function f is shown. (Assume the function is defined only…

A: Since, you have asked a question with multiple sub parts, as per company guidelines we will solve…

Q: The number of bacteria in a flask grows according to the differential equation dy/dt=0.09y In this…

A: The given data is: dydt=0.09y

Q: B: Find Inverse Laplace Transformer for the following function:- 3s3-s²-3s + 2 F(s) = s² (S-1)² 5

A: According to question,Given function,Fs = 3s3-s2-3s+2s2s-12

Q: A company manufactures and sells x smartphones per week. The weekly price-demand and cost equations…

A: According to question,Given Functions,p = 500-0.5x,Cx = 20,000 + 135 x

Q: The quadratic formula allows us to find solutions to any quadratic equation.

A: Give that, the quadratic formula allows us to find solutions to any quadratic equation. We have to…

Q: 13. Suppose AB = AC, where B and C are n x p matrices and A is invertible. Show that B = C. Is this…

A: To prove B=C when A is not invertible.

Q: a. X 1 e te. e2x 0.5x So dx

A: To Find  : ∫01ex+e0.5xe2xdx

Q: Find the derivative of the function f at any real number c. Use the form f'(c) = lim X→C f(x) = 3 -…

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Q: . lim) y 플 wen) we y cos ㅍ 품 y-ㅍ

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A:

Q: 1.. Compute the following integral using partial fractions decomposition: dx (x-3)(x-2) Start by…

A: ∫1x-3x-2dx

Q: 1. Find the linearization of f(x) = (x³ + 1)¹/² at x = 2 and use this to estimate f(2.05).

A: Please see the below picture for detailed solution.

Q: The domain of the function is f(x,y)=cos ¹(x² + y²-3) O a. {(x,y)|x>0 and y>0} O b. {(x,y)|y>0} Oc.…

A: The Domain of Cos-1(x) function is [-1,1].

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

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Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 10. Find the absolute maximum and the absolute minimum of f(x, y) = 2x² + y² + 2 over the disk D…

A:

Q: When a bowl of hot soup is left in a room, the soup eventually cools down to room temperature. The…

A: From the given table

Q: When a particle is located a distance x meter from the origin, a force of ƒ(x) = 3x² + 4x-newtons…

A: When a particle is located at distance x meter from the origin, a force of  fx=3x2+4x newtons acts…

Q: a. Find a power function that models the data below. b. Find a linear function that models the data.…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  x 4 5 8 9 y 6.7…

Q: Use the Laplace transform to solve the given integral equation. + 6 ² ₁² - f(t) + f(t) = cos(t) (t =…

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Q: Integrate the following using To xox $1+2x miscellaneas substitution:

A:

Q: A company can manufacture at most 200 units per month. About x units per month can be sold at the…

A: given that ,cost function  C(x)=150+4x+x2and    price  function  p(x)= 500-xthen  finding following…

Q: Given the following integral and value of n, approximate the following integral using the methods…

A: Given

Q: Match A B A B C C III

A:

Q: Question: is there a logarithmic property thay says: ln ∣ a - b ∣ is equal to - ln ∣ a + b ∣   Im…

A: Two concepts Trigonometry equations Logrithmic rule

Q: Determine whether the sequence converges. If it does, find the limit. (-1)" In n (a) an = 5n³ (b) an…

A: We have to find whether the sequence converges or not.

Q: The instructio says using Miscellaneous Substitution! Please edit your answer

A:

Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

A: Given: 111101010

Q: Change the order of integration. [( f(x,y)dx)dy. 0

A:

Q: An open box (no lid) with a square base has a volume of 4 cubic feet. What dimensions will minimize…

A: Let the base height and length be x and the height be y.Given: the volume is 4 cubic feet.

Q: f(x)=-4x-2; reflection in the x-axis ANS. f(x)=|x+4|; horizontal shrink by a factor of (1)/(3

A:

Q: Consider the curves y = x^2 sinx and y = -1 - sqrt(1 + 4(x + 2)^2 ).    Find the x-coordinates of…

A: To find the x-coordinates of the points of intersection of the two curves, we need to solve the…

Q: Identify the location and value of any relative maxima or minima of the function. Part: 0/2 Part 1…

A:

Q: The total resistance R of two parallel resistors S and T' is given by Thus DsR = DTR = and R = ST…

A: Given

Q: Let F = (x^3 − 2yz, tan^−1(y^2 + z), −z + 1). a) Find div F b) Determine if F is conservative

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: ▷ Find the parametric equations of the tongent line to the curve of intersection of two surfaces:…

A: Solution below

Q: 5. Find the maximum height above the x-axis of the polar curve r = 2+2 cos(0).

A:

Q: Consider the following graph of the second derivative, f" (x), for some function f(x): 161 12 -4 IN…

A: To determine the true statements for the following graph of the second  derivative, f''x for some…

Q: The graph of the derivative f' of a function f is shown. YA y = f'(x) LÄ 2 X = (a) On what intervals…

A:

Q: Is it possible to answer this using factoring, conjugate or any alternative methods? If so, could…

A: To evaluate the following limit. limx→0 x+13-1x

Q: 11. Find the maximum and minimum values of the function f(x, y) = 3x + y - 4 on the curve ² + 2y² =…

A: To find the maximum and minimum values of the function. fx, y=3x+y-4 on the curve x2+2y2=38.

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: g(u,v)=u2e-vpoint is (8,0)v=3i+4jDvg(u,v)=∇g(u,v).a→

Q: x 18x² +81 Factor the denominator: - dx x²

A: Oo

Q: Which of the following integrals are improper? (Select all that apply.) of 10x 1 7x - 1 dx 6 1…

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Q: an=n= 1 n for n 21 is increasing, decreasing, or 4. Determine whether the sequence neither. Is the…

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Q: 5. Consider the region R bounded by y=1-x² x = 0 and y = 0 [This region is used to answer questions…

A: Draw the graph and then select the region.Take a small volume of a cross section area and integrate…

Q: Find the minimum and maximum values of the function y = 10t - t² on [6, 10] by comparing values at…

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Q: 1: Evaluate the following integrals: 1. fff e ²x+3y + 4z dv 0≤x≤ ln2 2. √ √ √ √1+y³dydx 0 ≤ y ≤ In3…

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Q: If g(x)=√1+tdt, then find the derivative g'(x).

A: Given :- gx=∫0sinx1+tdt