f(x) = x5 – 2 (a) Find the inverse function of f. f-1(x) =

Q: Consider the following. f(3) = 9, f(-1) = -11 (a) Write the linear function f such that it has the i...

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Q: Using the arc length formula, find the length of the curve y= y-\sqrt(4-x^(2)), 0<=x<=2

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: y" – 2y' + y = -3 – x + x², y(0) = –2, y'(0) = 1. %3D %3D

A: Given: y''-2y'+y=-3-x+x2 ; y0=-2, y'0=1 So, We can also write as; D2-2D+1y=-3-x+x2   The auxiliary e...

Q: Which/What illustrates an implicit differentiation of the equation 2x + 3y = 6?  [Item Number 1]

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Q: Assessment 1. Directions: Find the limit of the following. 8x+1 5. lim X-1 x+3

A: We know by definition of limit for a function f(x) , limx→af(x)=f(a) , provided f(a) exists.

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xcos2y dx + tany dy = 0

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Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

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Q: Find dV, the estimated change in volume, if the radius of a sphere changes from 6 to 5.9. Round you...

A: Given problem:- Find dV, the estimated change in volume, if the radius of a sphere changes from 6 to...

Q: Find dy/dx. 1.y = 5ain a %3D

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: y=x¯, y= 2x

A: We can find the centroid using the required formula as below

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. ye2xdx = (4 + e2x)dy

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Q: Find the derivative of the function. (2) = earcsin{z³) f'(z) = Need Help? Read It

A: Given query is to find the derivative of the expression.

Q: a1/ Find the missing term in the following table using interpolation: 2 3 4 y: 3 SI

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Q: 4 – dt 2 cos 4t 1.

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. x = 8 - y², x = y...

A: Let's find. 

Q: Q1.Find the general solution of following PDE equation (a) (5z+ R)uz + (7x+ R)u, R (b) (z + R)u, + (...

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Q: n one of the warehouses of a construction firm, cement is being released from an elevated storage bi...

A: Volume of cone=13πr2hRatio of diameter and height is 1:1Dh=11h=DVolume of cone=13πD22DV=112πD3 ...(1...

Q: Question 1 xi+yj+zk If F(xy,z)- Vx² + y²+z² .2 Determine Vx F

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Q: Use the Geometric Series Test to show that 0.3+0.03+0.003+… converges.

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Q: The intensity of an earthquake can be measured on the Richter scale according to the following logar...

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Q: Use the alternative form of the dot product to find u · v. |lu|| = 50, ||v|| = 20, and the angle bet...

A: Given: u=50, v=20 and angle between u and v is 5π6 We know that u·v = uvcosθ, where θ is the angle b...

Q: Write the equation for he function graphed below. Use smallest deg 7. 5- 4- 2- 10-9 -8 -7 -6 -5 4 -3...

A: Find your answer below 

Q: Tutorial Exercise Determine whether the series is absolutely convergent, conditionally convergent, o...

A: This question is based on ratio test.

Q: az az and as Use the chain rule to find at (=) Z = tan V u = 8s + 5t, v = 5s – 8t az as az at

A: Topic:- derivatives

Q: For x²y = y³x + 5y + x, find dy/dx by implicit differentiation.

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Q: Find the exact area of the surface obtained by rotating the curve y =x' 3 0<x<12, about the y-axis. ...

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Q: (a) If $1,500 is borrowed at 5.5% interest, find the amounts due at the end of 3 years if the intere...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: To find out the parametric equation and symmetric equation of the line. 

Q: Use the Divergence Theorem to evaluate the following integral and find the outward flux of F through...

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Q: Use the Integral Test to determine whether the series is convergent or divergent. Σ n= 1 Evaluate th...

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Q: If f(x) = 3x2 – 3x – 25, find f'(x). %3D - f'(x) = Find f'(1). f'(1) = %3D

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Q: | cos (5x) cos (3x)dx

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Q: Use the integral test to determine whether the following is convergent or divergent. Σ

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Q: 3 The 9 ft wall shown below stands 30 feet from a building. Find the length of the shortest Straight...

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Q: x = r° +1, y=r -t a) Find dy/dx

A: To find the derivative of given parametric function.

Q: dy Then find the slope of the curve at the given point. Differentiate implicitly to find dx y -x = 2...

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Q: Só x*(2 + x*)dx = 5/8 O 7/8 О 18 O 3/8

A: To evaluate the value of the given definite integral. Note that: ∫xndx=xn+1n+1+C  (C is an integrati...

Q: Find the characteristic equation and fundamental solution set to the di fferentinl equation 4 +4

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Q: E Homework: M6 MML Homework Question 28, 5.4.61 HW Score: 88.89%, 42.67 of 48 points O Points: 0 of ...

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Q: + - -5 8 23)+(1,4)

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: f"(x) = 13r- (x²-1)a 2.f(x) = f'(x) = r* +1) 4x (x²-1)2 Determine the intercepts. Determine the equa...

A: f(x) =2x2x2-1Intercepts:x=0, y=0(0, 0),y=0, x=0X and Y-intercept: (0, 0)Asymptotes:x2-1=0x=1, x=-1  ...

Q: Give two Inverse Variation word problems and their solutions

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Q: Find f'(x) and f"(x). f(x) x² – 8 f'(x) = f"(x) Nood olp3

A: Given query is to find indicated derivatives.

Q: Consider the following. u = (3, 7), v = (4, 6) %3D (a) Find the projection of u onto v. 27 13 (b) Fi...

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Q: Resources Let f(x, y) = In(x) + In(y), r(1) = (cos(t), t). Use the Chain Rule to calculate 4f (r(t))...

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Q: Evaluate the iterated integral by converting to polar coordinates. –x² (x² + y?j3/2 dy dx dr de =

A:  Solution is given below...

Q: dy 21 z'e ", by using Variable Separable de PROBLEM [ B6 (b) ]: Solve the first order differential e...

A: Given the first order differential equation is dydx = 21x2e-y

Q: cos400 de J3- sin40

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