Use left and right endpoints and the given number of rectangles to find two app g(x) = 2x2 - x - 1, [3, 5], 4 rectangles < Area <

Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information....

Q: Determine Whether the series is convedesnt Lo divegent. Write the exact Lrt that you Us e, Sin(-2

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Q: Find dy/dx of the following function using Chain Rule. y=(-3x5 +1)3

A: we use chain rule for differentiation y=(-3x5 +1)3 dy/dx =3(-3x5 +1)2(-15x4) dy/dx = -45x4(-3x5 +1)2...

Q: The sequence that begins 101, 105, 109, 113, 117, .could be O a geometric sequence. O a Fibonacci se...

A: This question can be solved using the concept of types of sequence.

Q: Solve the following differential equations of 2y-3dy = y* ·e*; Linear Differential %3D dx Equation

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Q: The tables to the right show recent state income tax schedules for individuals and married couples. ...

A: topic - percentage

Q: Sketch the region bounded by the graphs of y = v1-x, y 1-, and y = 0. Find the volume of the solid o...

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Q: sin x dx

A: This is a problem of integration. Based on the general formula of integration we will solve the ques...

Q: Use the Lagrange multipliers method to find the maximum and minimum values of the function f(x,y) = ...

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Q: solve for linear equation y' = x - y

A: To solve linear differential equation.

Q: Find a set of parametric equations for the line passing through the point (7, o, 9) that is parallel...

A: Parametric equation of line in 3D

Q: Find the centroid of the region bounded by the curves: y = 2x – x² and y = x

A: Let, is the centroid of the region which is bounded above by the curve y=f(x) and below by the curve...

Q: y 10 9 8. 6. 5 44 3 2 1 1 2 4 5 6. 7 8 9. The graphs of f and f can be seen to be reflections of eac...

A: The domain of a function f(x) is the set of all values for which the function is defined, and the ra...

Q: Use sigma notation to write the sum. j=1

A: Given that 5-192+5-292+......+5-992Solution:

Q: In the method integration by parts we assign a value of u that is easy to differentiate and a de tha...

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Q: Find the area under the graph y =- on the interval 1, 3|. 2+ 1 1 3 4 O -1.100 -0.100 O 0.100 O 1.100...

A: Find the area under the graph y= 1/x on the interval [1,3] .

Q: Question: * Using integration by parts, integrate S In 5x dx A. xln 5x – x+ c с. 5xInx - х+ с в. х? ...

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Q: Consider the following equation. x² + xy +y° = 1 Find the value of y at the point where X = 1.

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Q: y = sin(3x) + cos(0.5x)

A: Given: y=sin(3*x)+cos(0.5*x) We have to determine the value of y,where x varies from 0 to 2pi in an ...

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

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Q: A model for the velocity v of a skydiver is 4 = 9 – v². Then the value lim v(t) is__ 1 Enter the cor...

A: The given differential equation can be solved by using the variable separable method.

Q: A circle's radius is increasing at 0.5 feet/minute. How rapidly is its area increasing when the radi...

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Q: Let an​ be an arithmetic progression, for which the first term a1​=1 and common difference d=1. Find...

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Q: Use sigma notation to write the sum. 5 5 5 4 + 1 4 + 2 4 + 3 4 + 12 Σ

A: By using sigma notation to write the sum.54+1+54+2+54+3+...+54+12  

Q: 4 3

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Q: Let h, r be constants. Consider the quadric surface S of equation (x – h)? (y – 1)² (z – r)2 9 3 The...

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Q: Use the method of shells to find the volume of the solid obtained by revolving the region bounded by...

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Q: Sketch the region bounded by the graphs of y = v1- x², y = 1- y = 0. Find the volume of the solid of...

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Q: (ii) Solve x(2z – 3y)p + y(3x + z)q + yz + 2xz = 0

A: We simplify the given expression using  distributive property which is a(b+c) =ab+ac.

Q: Find the differential dy of y = tan x for x = π/4 and dx = −0.1.

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Q: Use Cosine and Sine laws to find the missing lengths and angles in figures 3. 30

A: I am attaching image so that you understand each and every step.

Q: Let A = [0, 1] and define fn(0) = fn(;) = fn(1) = 0, fn(;) = n and fn to be linear on each of the se...

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Q: 10. Sketch the solid obtained by rotating the region undemeath the graph of the function y = xi - 2 ...

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Q: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

A: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

Q: Evaluate the integral /16 – æ² dæ and simplify

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Q: 1. f'(x) = cosx and f(0) = 5, find f(x).

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Q: Write an equation for the polynomial graphed below 6+ 4 2- -1 -2+ -3 -4 -5 -6+ y(x) =

A: Find your answer below 

Q: (ii) Solve x(2z - 3y)p + y(3x + z)q + yz + 2xz = 0

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: es - a? Do not use a calculator for this problem. Find the x-value where the relative maximum of u c...

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Q: Evaluate S*dx Vx+1 à. (1 +)} B. - (1 + c. (1-5 + c D. - (1-5i + c + C В. + C 3 3 A OB Ос OD

A: The given options are wrong. We use power rule and integration by parts formula to evaluate the give...

Q: 2. Let C be the graph of the equation In(3y – 2e*) = sinh“(Tx) – tan(y – 1) dy (a) Find dx (b) Find ...

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Q: Below is the equation of a conic section such that the ordered pair (Fx, Fy) corresponds to its focu...

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Q: Find dy/dx of the following function using Chain Rule. y=(x3 + 3)5

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Q: xdx Evaluate f: Vx-16 Vx²+16 -16 In In +C In In D+c A. с. (In In + + C In In +C в. D.

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Q: B. What is the derivative of y with respect to x if y2 – x² = 4? Justine Ashley y? – x² = 4 y? = x2 ...

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Q: If f is continuous over the interval [a,b] and F (x) is any antiderivative of f(x) then f(x)dx F(b)-...

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Q: Find the volume of the solid generated the area bounded by y = V, the x-axis and x 4, rotated about ...

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Q: Assume that the rate at which a cup of coffee cools to room temperature is proportional to the diffe...

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Q: Find the length of one arch of the cycloid (from 0 = 0 to 0 = T). x = a (0 – sin 0) y = a (1 – cos 0...

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