y = 3Vx, y= 20 – 2x.

Q: f(x)= x-5x^1/5 A) Use interval notation to indicate where f(x) is increasing and decreasing.  Incr...

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Q: Questão 2 Check thatF(x, y) = (ez+y – y2 – cos(y))i + (ez+y – 2yx + xsen(y))j is a conservative fiel...

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Q: 5. The following data give approximations to the integral M = sin x dx. Jo ()- () N (h) = 1.570796, ...

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. dy 1 2xy = 4y, y(1) 3 = %3D d...

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Q: Let (x) = x In x and P4(x) be the fourth-degree Taylor polynomial for f about x = 1. Using the defin...

A: Find the fourth degree Taylor polynomial for f about  x=1 then find maximum error in approximating f...

Q: 8. What is de x2+1

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Q: sing u-substitution, the integral Jf(x)dx reduces to a new integral J glu) du. If g(u) = , evaluate ...

A: Topic:- application of integration

Q: Consider the function f :R² → R given by f(x,y) = e* In(1+ y) Write down the second-order derivative...

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Q: EC an

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Q: Find the specified limit. f(x) - x+2, x > -1 lim f(x) ?

A: The given function is            f(x) = x2,  x<-1x+2, x>-1 We have to find the following limit...

Q: Tes n=1

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Q: Prove that the following statement is true for all positive integers. 1 1 1 + + 4 8 1 2" – 1 + 2n Pn...

A: Given; Pn : 1/2 + 1/4 +1/8 +...+1/2n =(2n -1)/2n

Q: II. Determine the derivative of the ff. logarithmic functions 7. y = 12x² log 8x 8. y = In 25x %3D 5...

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Q: analytically

A: As per the guidelines we can solve 3 parts only. 

Q: Given the graph below, determine if the function H(x) is continuous at the following values of : 1. ...

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Q: Using Figure 1, complete the following function. Figure 1 tane = %3D O v/r u/r O r/u O r/v O vlu u/v

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c= 5 (x- 5)4 12...

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Q: Cos (Jx) dx

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Q: Using Figure 1, complete the following function. (-8, - 6)* Figure 2 sece = -5/4 -5/3 5/4 5/3

A: Given query is to find the indicated angle.

Q: On a particular lake, the difference between high and low tide is 6 hours. At low tide, 6 a.m., a st...

A: Answer is in step 2.

Q: Use the binomial series to find the Maclaurin series for the function. f(x) (1 + x) %3D 3 00 f(x) = ...

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Q: Find the limit by rewriting the fraction first. ху — у — Зх + 3 lim х - 1 (x,y)>(1,4) x+1 ху — у — 3...

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Q: 1 Use the Cauchy's integral test to show that Σ diverges n. In n. In In n n=2

A: Cauchy -Integral  Test series ∑n=1∞ an      converges if integral ∫1∞ f(x) dx finite and  diverge if...

Q: Find the tangent plane of the surface z = f(x, y) at (0,0, 0) in which 3y f(2, y) = || cos /3 t dt.

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Q: Find the average rate of change of g(x) = 2x° – 4 from x = - 1 to x = 3 -

A: This question is based on average rate of change of function.

Q: Find the equation of the tangent to the following curve at the point where x = 1 y=Vx

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Q: A. Evaluate the following integrals 1. 2. L. 3. , e*dx dx dx -1 x2/3 4. SE tanodo -4 dx

A: solution:-Q.(4) ∫-∞π2tanθdθsolving the improper integral=limt→-∞∫tπ2tanθdθ=limt→-∞∫tπ2sinθcosθdθ=lim...

Q: Prove that the function z is continuo:as everywhere but nowhere differentiable except at origin.

A: The given problem is solved below in detail.

Q: dy 2. V16 + y²

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Q: Please see the attached photo for the given and don't use the Transcribed Image Text because it's ch...

A: Given

Q: 3(1+x²)-1/2, y(C

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Q: Tauluole bnn vle Question 1: Find 2Ã – 3B, |2Ã – 3|, JÃ\, \B|, 2|Ã| – 3||\, where Á = and B = %3D

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 csce = 5/3 5/4 -5/3 -5/4

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Q: 2.

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Q: Display the values of the function in two ways: (a) by sketching the surface z = f(x,y) and (b) by d...

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Q: Given u(x,t)=(1/t)e^(x^2\4t), compute: uxx

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Q: sin 3x -dx what is the appropriate formula to find the integral? Given: cos2 (3x) (4-3 sec 3x) du (A...

A: We have to find appropriate formula to find given integral.

Q: Find the derivative () of: dx y = 4x Jx + Vx

A: Using chain rule of derivative it can be done. please follow the solution which is mentioned in step...

Q: Using Figure 1, complete the following function. Figure 1 csce = r/u v/u v/r r/v u/v u/r O O O

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Q: Compute P,(f,0)(x) for the following function: f(0) = 42, f"(0) = 23, f) (0) =19, f®)(0) = 17, f("(0...

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

A: First we find radius of convergence. Then find interval of convergence. 

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: Let R be the region in the half plane x 2 0 bounded by the curves y=-5x + 5 y = x2 - 1 *= 0 Compute ...

A: Solution

Q: Evaluate the integral. NOTE: Enter the exact answer. cos (2.r) dx = + C

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Q: 10) Construct a Pictograph illustrating the information provided in the chart. Label the pictograph ...

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Q: 3. a) Find the percentage error in computing u = Vx at x = 2.45, when x is 4 p) | If Ax = 0.005, Ay ...

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Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the...

A: Let's find. 

Q: Direction: Compute the following limits: Given: 1 lim f(x) =5, lim g(x) = -9, lim h(x) = 6 1. lim(5 ...

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Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P (2), Q(5, 6)...

A: Distance between the points P(x1,y1) and Q(x2,y2) , D = (x2-x1)2+(y2-y1)2 .

Q: d?y Find dr2 for the functlon: .3 3x +4x y=x

A: