The derivative of the function y = tan-1 1+ csc-1 x, where x > 1 is: CSC y' = 0 y' = 1 %3D %| O the above the above y' = x y' = %3D xVx2-1 the above the above 2)

Q: Problem 6. (The cross product project). The cross product for vectors in V is not associative, so so...

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Q: Given: f(x) = 1/x, find f(0.01+h) - f(0.01) / h

A: f(x) =1/x 

Q: 5. radius 2 and whose vertical cross sections are squares. Set up the integral to find the volume of...

A: Solution is written in below steps.

Q: If z1 = -4 + j5, z2 = -3 - j2, and Z3 = 2 - j3, what is the simplified form of z – 2 + z ? %3D

A: Solution is given below:

Q: of a drug in a person's system t hours after the drug is administered, when does the drug reach it p...

A: Ct=49.3 t e-0.24t measures the concentration in ngml, of a drug in a person's systemt hours after th...

Q: QUESTION 2 Use factoring to solve the equation. Show your work on a separate paper. 3x2+25x -42

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Q: Match the equivalent expressions. O 1- sin?(0) a. cscʻ(0) O sec?(0) – 1 b. tan (0) - O 1- cos (0) c....

A: The objective is to match the equivalent expressions.

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A: In order to solve this problem we need to frame this as arithmetic progression series and solve it a...

Q: 23 c) [[(x?y +1) dx dy answer: 10.5 1 2

A: Taking integration. 

Q: dy cos(x +y), when x = 0,y == dx

A:

Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find B(t) att = ) =+ 4 B(t) B(t) %3D Option 1 Option 2 ...

A: This is a problem related to vectors. Based on the unit tangent vector method we will solve the give...

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 n = 0 5"...

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Q: Ex: Find gof, Fex) メ-15 2. gcx) = gox) x+2X

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Q: Solve the following inequality algebraically. Show your work on a separate paper. |x-2|29

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Q: 6x 3yx3

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Q: 2. Verify that the series n' +1 n=1 satisfies the conditions of the Integral Test. then use the Inte...

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Q: y = f(x) 2r 2r cross-section y = g(x) base view The base of a certain solid is an equilateral triang...

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Q: 6 3 Consider the function f(x) x2 = 0. Let F(x) be the antiderivative of f(x) with F(1) = Then F(x)

A: We can find the antiderivative of the given function by using the following formula.

Q: x²-4 6. f(x) = si x # 2 x-2 5 a. Halla el Dominio b. Evalúe: 1) f (0) 2) f (-3) 3) f (2) si x = 2

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Q: Given R(t) = 4 cos ti + (1+ 3cost)j + 5sintk. Find B(t) att = B() =- 3 B(5) =+ 3 4 B(t) 5 k Option 1...

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Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Give its interval of convergence. Approxi...

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Q: Determine Cif u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du %3D 0

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Q: 7. cos(x + y), when x = 0, y - dx

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Q: 2. Use the function h(x) = : a. Use a calculator to graph h(x). Make sure you have a window that is ...

A: This is a problem of curve tracing. By using online available calculator we will plot the graph as m...

Q: Assuming that z is a differentiable function of x and y, Let F(x,y.2) = In(x*y) – e" -ta tan Find F....

A: Given,  F(x,y,z)=lnx2y-eyz-tan-1z Fx=∂∂xlnx2y-eyz-tan-1z     =∂∂xlnx2y-∂∂xeyz-∂∂xtan-1z

Q: 3x2 dx x3 - 8(у + 1) %3D 0 y+1 dy

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Q: Given z=2. Find zy wy.

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Q: cone is being emptied of fluid at the rate of 14 cubic centimeters per second. The height of the fun...

A: small funnel in the shape of a cone is being emptied of fluid at the rate of 14 cubic centimeters pe...

Q: 2. Use the function h(x): a. Use a calculator to graph h(x). Make sure you have a window that is lar...

A:

Q: If C(t) = 18.5t e--0.1t measures the ng , of a drug in a person's 140- concentration, in ml' 120- sy...

A: Given minimum effective concentration = 30ngml                                                      ...

Q: Find the area of the region between the curves y = x^3, y = -x, and y = 1. Round off to two decimal ...

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Q: 6. Equation of the line that passes through (-5, -8) and is perpendicular to the line: 3x-9y =7.

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Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate...

A: topic - application of derivatives

Q: Given z=2. Find zyy xy.

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Q: y = Vx-1, y = 0, x = 5 about

A: Follow the procedure given below

Q: The table below gives U.S. lead emissions, L, into the environment in millions of metric tons for 19...

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Q: Suppose f(x,y) is differentiable infinitely many times (so that partial derivatives of all orders ex...

A: This question can be solved by cross verifying the three conditions for a function f(x,y) to have a ...

Q: 4. Equation of the line that passes through (2, -3) and is parallel to the y-axis. 5. Equation of th...

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Q: 3 In (sec v) 2t Evaluate the integral ex dx dt dv. 00

A: Topic = Integration

Q: 1² – 1 f(r) : 1² + 4°

A: We have to sketch the curve of given f(x)

Q: 50. x = f(p) = 875 - p- 0.05p (A) p = 50 (B) p = 70 (C) p = 100

A: Let's find. 

Q: Differentiate the following function. f(x)=(x^4-4x)^2 f'(x)=

A:

Q: Consider function f graphed below. (a) Find the Net Change of f between x =-1 and x = (b) Find the A...

A: Given query is to find net change and average rate of change bfir the function.

Q: At what latitudes is the Moon always above the horizon when the Moon is minimum and maximum elongati...

A: In this question we have to find the position of moon with respect to equator line.

Q: transformations

A: Please refer to the image below

Q: Let U be the set of integers. Let A = {3,6}, B = {3, 8, 10, 12} and C = {6,8,10}. Perform the indica...

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Q: Use the formula for the binomial series: 1+ mr + m(m-1) 2 , 2! m(m–1)---(m–k+1). (1 + x)" = + %3D k!...

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Q: visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an islan...

A: A visitor is staying in a cottage that is 7 miles west of the closest point on a shoreline to an isl...

Q: = cos(x + y), when x = 0, y = " %3D

A: