Please

Q: Solve the given initial-value problem. y(t) = d²y4dy - 5y = 0, y(1) = 0, y'(1) = 5 dt² dt

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Q: Find the differential of the function. z = x ln(y + 7)

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Q: Find the centroid of the region bounded by the given curves. y = 2x³, None of these 2x + y = 4, 28…

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Find an equation for the graph sketched below: -5 -4 -3 -2 11 f(x) = 8+ 7 6 5 4 3 41 F-1 -2 23 -3 -4…

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Q: Let f(x) = 2x³ + 3x² - 120x-5. a. Find all points on the graph of f(x) at which the tangent line is…

A: Slope of the tangent line at a point to a function is the derivative of the given function at that…

Q: The base and height of a triangle are measured as 26 inches and 12 inches, respectively. Suppose…

A: To find the error.

Q: Solve. √√2x+5√√x-2 = 3

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Q: 3. Use L'Hospital's rule to find the limit. (a) lim 818 2-3 ex² (b) lim t-0 102t t

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Q: Find a lower sum for f(x) = 18+ x² on [2, 4]; let n = 4 subintervals. Round to the nearest hundredth…

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Q: (a) Find the slope m of the tangent to the curve y = 7/√x at the point a where x = a > 0. m = (b)…

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Q: Find the absolute and local maximum and minimum values of f(x) = 1-z 0<x<2 2x - 4 2≤x≤ 3° If there…

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Q: 10dx 4x³-4x²+5x S-

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Q: Use differentials to estimate the amount of tin (in cm³) in a closed tin can with diameter 6 cm and…

A: Let r and h be radius and height of tin canThen r varies from 3 cm to 3.04 cm and height changes…

Q: Find the general solution of the given second-order differential equation 18y" - 9y' 5y = 0 y(x) =

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: 4. Without graphing or solving for the inverse equation, list the transformations of the inverse of…

A: Given that

Q: ƒ(0) = 0, and ƒ'(−2) = f'(1) = ƒ'(9) = 0 ● lim f(x) = 0 and lim f(x) x →∞ x→6 • f'(x) 0 on (-2, 1)…

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Q: n Using the Riemann sum definition of integrals, find lim Σ n→∞ j=1 n n² + j²

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Q: The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The…

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Q: 1 3 1 1 + 72 33 12 + 3 + 1 74 + 1 1 35 + +... 76

A: The given series is .We have to determine whether the series converges or diverges.Consider the…

Q: For the series n= (-1)" 2n 0.2 +8 Submit Question calculate the sum of the first 3 terms, S3. S3…

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Q: Problem. 8: Find the linear approximation of the function f(x) = √x – 3 at a = 4 and - use it to…

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Q: If the unit selling price p(x) and the quantity supplied x of a certain product is given by p(x) =…

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Q: lím ln(1 – 2n³)¹/n²³ n→0

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Q: Using the Mean Value Theorem, prove that √1 + x² 0. Make sure to check all the necessary conditions…

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Q: 59. The region bounded by x = y(y-1) and y = WIX 3

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Q: Point P is shown on the polar coordinate plane. P KIN 2 3π NW What are the rectangular coordinates,…

A: To find the rectangular coordinates,  for point .

Q: Find the derivative of f(x) =14sin(x)-73cos(x) when x = 2 2 Make sure to show your work neatly and…

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Q: Pls do it very fast on handwritten in page pls very fast Integration of (ln3x)/(x2)

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT S e 2xdx +) Sex (2x) da 5x+3x x) my (20x+3) dx

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Q: Solve. 1 t + 1 3t O A. O B. O C. O D. + 1 - 5t 23 24 23 120 19 120 23 40 = 8

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Q: Find the general solution to the following system of DEs using eigenvector methods. 6 -7 -(i-1) x -2…

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

Q: Find the Maclaurin series for f (x) using the definition of the Maclaurin series. f(x)=xcos(5x) O a.…

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Q: If the cost, C, for manufacturing x units of a certain product is given by C=x²-20x+45, find the…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Let z = 2x³y² + x²y, x = 2s + t, y = 4st² Use the chain Rule to find when s=1 and t=0.

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Q: Find all the relative extrema (local extrema) and the saddle points of the function f(x, y) = x²y -…

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Q: HERE KEPINTE 0, 0. 0 PANE JOUL PRE INFERRENTE SAULEI CAN 2000.00 MADELELEZI ELIOTOTDIENT INTENAN…

A: we have given integration

Q: The demand function for SkanDisc 2GB thumb drives is given by P = 2(x + 4) e-x/4 where p is the…

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Q: Find the equation of the line tangent to the graph of f(x) = -4 cos (x) at x = Give your answer in…

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Q: 8. Be sure to show and explain all steps. Determine lim X→C 2f(x) - 3h(x) (g(x)) + (h(x))² lim_ f(x)…

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Q: Let f(x) = √ x and g(x) = x^2  (a) Sketch graphs of f and g, and indicate the finite region…

A: Graph of f(x) is as shown belowGraph of g(x) is as shown below

Q: On the putting green, a golf ball travels at 1.3 m/s in a direction of 140°. The ball encounters…

A: On the putting green, a golf ball travels at 1.3 m/s in a direction of 140 The ball encounters wind…

Q: QUESTION 4 Find all angles in degrees that satisfy the equation. sin x = -1 O x 1 x = 270° + n360°)…

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Q: 4. Use logarithmic differentiation to find the first derivative of the given function. (a)…

A: The given function is"As per the company rules, we are supposed to answer the first question and…

Q: Given the demand equation x = 135e-p/46, where p represents the price in dollars and x the number of…

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Q: QUESTION 1 Find all real numbers that satisfy the equation. √2 sin x = - O O √x1x = 71² + 6 + 2nm or…

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A: Let consider a series S as defined below:Now consider the ratio test as follows:1)If r&lt;1 , the…

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. sin (+/-)…

A: The given series is Summation of Sin(1/n), n from 1 to infinity. Find the series is convergent or…