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Q: Write the form of the partial fraction decomposition of the function (as in Example 4) x4 - 256 1 1 ...

A: Given,         The partial fraction decomposition of the function :           1x4-256

Q: Solve the matrix equation by multiplying each side by the appropriate inverse matrix. з -2 y z 18 -1...

A:   We have 3-2-43xyzuvw=-318-119-2319 Let A=3-2-43B=-318-119-2319X=xyzuvw AX=BX=A-1B If the dimension...

Q: Need help with question 2

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Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between t...

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Q: Determine whether each of the following series is convergent or divergent. Indicatetest used.

A: Explanation of the solution is given below...

Q: Help me number 8 pls

A: Given parametric equations : y=t3-tx=t2-2t To find the curvature at t=2 The curvature is given by  :...

Q: Find the antiderivative of the given derivative. ds = 5t(212 – 1)3 dt

A: Solution:-  given that  dsdt=5t(2t2-1)3 now  using identity (a-b)3=a3-b3-3ab(a-b)

Q: In Exercises 5-40, determine whether the improper integral convergesand, if so, evaluate it.

A: Consider the given improper integral, ∫01lnxdx since the function is not defined at lower limit we c...

Q: Need help

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Q: Area of a triangle Find the area of the triangle with vertices on the coordinate axes at the points ...

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Q: Suppose f(-7) = -6 f(0) = 2 f(7) = 6 f'(-7) = -3 f'(0) = 1 f'(7) = -3 %3D Find 6 f' (x) dx

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Q: Suppose that two ellipses have the same eccentricity, find the ratio of the lengths of their major a...

A: Given: If two ellipse have same eccentricity. To Find: The ratio of the lengths of their major and m...

Q: I need help. This is not a graded question.

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Q: 5) Sketch the region of integration and evaluate the integral x²y' dx dy

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Q: 5 dx Evaluate by dividing the interval into 8 equal parts x2+6x+10 by using Trapezoidal rule.

A: The given integral is ∫151x2+6x+10dx Thus interval is [1,5]. Now we have to divide the interval [1, ...

Q: Find

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Q: Explain why the inverse is equivalent to the converse.

A: Given: Inverse and converse. To explain: Why the inverse is equivalent to the converse.

Q: True or False. Justify your answer with a proof or a counterexample. 9. 9. | f(2)*dæ | f(æ)dæ a a

A: We have to identify the statement as true or false.

Q: Determine whether the series converges absolutely or conditionally, or diverges.

A: Given: ∑n=1∞ -1nn! To determine: Given series is convergent (absolutely or conditionally) or diverge...

Q: Divide (x2 + 3x - 10) ÷ (x - 2) using long division. State the quotient,q(x), and the remainder, r(x...

A: The Division Algorithm states that:-Given a polynomial dividend f(x) and a non-zero polynomial divis...

Q: The side effects of a new drug are being tested against a placebo. A simple random sample of 565 pat...

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Q: Find the volume of the solid generated by revolving the region under the curve y=2x-x^2 about the x-...

A: Given y=2x-x2

Q: A company that manufactures running shoes has a fixed cost of $300,000. Additionally, it costs $30 t...

A: Fixed cost=$300000 Cost $30 to produce each pair. Sold at $80 per pair.

Q: (4) find what is the domain

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Q: A) draw and label a picture B) identify the formula C) differentiate implicitly D) answer the que...

A: Given: Height of the pole = 75 feet The figure is:

Q: If 1200 square centimeters of material is available to make a box with a square base and an open top...

A: Let x be the length of the side of square base and x be the width of the box y be the height of the ...

Q: for f(x)=3x+2   Sketch the graph of the inverse function on the same coordinate grid that was used ...

A: To Determine : a) Sketch the graph of the inverse function on the same coordinate grid that was used...

Q: the top of a 25 foot ladder is sliding down a vertical wall at a constant rate of 3 feet per minute....

A: Given  c=25 ft b= 7ft dbdt=3 ft/minute dcdt=0        

Q: Solve.

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Q: A rectangular page is to contain 24 square inches of print.  The margins at the top and bottom of th...

A: Given :  A rectangular page is to contain 24 square inches of print.  The margins at the top and bot...

Q: Slopes of tangent lines Find the slope of the line tangent to the following polar curves at the give...

A: Given information: r=1+2sinθ     and find slope at point 3,π4

Q: Evaluate the integral ∫(5x -1)2 dx by two methods: first square and integrate, then let u = 5x - 1.

A: To evaluate the integral ∫5x-12dx

Q: Express in scientific notation: 0.00076.

A: Solution:- Express in scientific notation: 0.00076  

Q: Particle X moves along the positive x-axis so that its position at time t > 0 Is given by x(t) = 5t³...

A: Given data: The position of particle X is xt=5t3-9t2+7.  

Q: dy is let y = (sin æ)*tan z then dx %3D :Select one (sin æ)tan z [1+ sin² x ln(sin æ)] .a (sin æ)tan...

A: Given: y=sin xtan x To determine: dydx

Q: Evaluate the integral

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Q: Suppose S = x + 2y is an objective function subject to the constraintxy = 50, for x > 0 and y &gt...

A: Given: S=x+2y is an objective function subject to constraint xy=50, for x>0, and y>0 To Find: ...

Q: A couple needs $60,000 as a down payment for a home. If they invest the $45,000 they have at 4% comp...

A: Given: The initial investment is $45,000, rate of interest is 4% means 0.04, interest rate is compou...

Q: What is the maximum safe speed that this tire can handle when properly inflated and in good conditio...

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Q: Evaluate the factorial expression: 18!/16!

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Q: Graph f(x) = 2x and g(x) = 2x+1 in the same rectangular coordinate system.

A: Consider the given functions, fx=2x make a table for the coordinates of the exponential function, ...

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.