Factor the trinomial. 2. 32t + 32t z+ 8rz 3 2 %3D

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A: Given,           Ax represent the area bounded by the graph, the horizontal axis, and the vertical l...

Q: Please help! (w/ steps)

A: Answer and explanation is given below

Q: Please

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Q: 78.

A: Answer is  1/2 Explanation is given below

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A: Given:The curvature of the circle of radius (r)

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Q: Find the length of the entire perimeter of the region inside r = 6 sin 0 but outside r = 3.

A: Consider the given following:

Q: 3 Determine the intervals for which the function f(x) = x° + 18x +2, is decreasing.

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 9 − x...

A: Given A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y =...

Q: Find the smallest value in the domain of the function f(x) = √(2x - 5). -2 2 2/5 5 5/2 0 -5 1

A: Domain of the function fx=2x-5: Set the radicand in 2x-5 greater than or equal to zero. Find where t...

Q: Find the equation for the tangent to the graph of y at 3, y= sin The equation of the line tangent to...

A: Given:y=sin-1x6  at 3,π6Tangent line:y-y1=mx-x1m=dydx

Q: Find the gradient vector field of f. f(x, y, z) = 7   x2 + y2 + z2

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Q: Solve the differential equation y"+ 3y'+ 2y=e*.Use the method of Undetermined Coefficients to find y...

A: Given:y"+3y'+2y=e-xDistinct real roots:yc=C1em1x+C2em2x

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Q: Determine the differential operators of the following: 1. Solve d^2/dx^2(e^3xsinx) using exponentia...

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Q: 5. Trace the curve r = sinecos³e.

A: To find the trace of the given curve r=12sinθcos3θ

Q: Find the equation of the line that is perpendicular to the tangent line to f(x) = x4+1 at x = 2 and ...

A: Answer and explanation is given below

Q: Use the given​ f(x) and​ g(x) to evaluate each expression. f(x)=\sqrt(x+12) , g(x) = x2a) What is th...

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Q: Evaluate the integral from [1, e^3] ln^3(x^2) / x  dx

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Q: For f(x)=5−8x and g(x)=x3 find the following composite functions and state the domain of each.​a) ​(...

A: Given,           f(x)=5−8x          g(x)=x3

Q: How do i solve the 77?

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Q: A quadratic function has its vertex at the point (1,6). The function passes through the point (-2, -...

A: Given:vertex h,k=1,6Point -2,-3Quadratic equation:fx=ax2+bx+ca=quadratic coefficientb=linear coeffic...

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Q: Find all solutions to the following equations that fall in the interval [0,2π]. 8sin^3 x+ 4sin^2 x-6...

A: Given, 8sin3x + 4sin2x  - 6sinx = 3 8sin3x + 4sin2x  - 6sinx - 3 = 0 4sin3x + 2sin2x  - 3sinx - 3/2 ...

Q: x² –2x+1 x²-2x+4 1. The function P (x) = models the proportion of a person's social network that has...

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the f...

Q: Find f(x) where f '(x) = 3x2 - 1 and  f(-2) = 3.

A: It is given that,  f '(x) = 3x2 - 1 and  f(-2) = 3.

Q: Calculate the area bounded by r= 2 cos 0 and the rays 0 =0 and 0 = as an integral in polar coordinat...

A: Given- r=2cosθ and θ=0 and θ=π6 To find- The area bounded by the above curve. Concept Used- If we co...

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Q: (5 4) 1.0 9- (3,-1) (--4) Given the graph of y = f (), as shown above: 1. What is the domain of f (r...

A: Given,  

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Q: Find the solution y(t) by recognizing the differential equation as determining unlimited, limited, o...

A: we have to find the solution y(t). y'=6(300-y) y(0)=0

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Q: 2. Trace the curve x3 – 6x² + 11x – y = 6. -

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Q: 10. Evaluate the following: (a) (b) -3 dr (z+ VE) dz (c) (d) */4 sec? e de

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Q: Find the distance from (2, –7, 8) to each of the following. (a) the xy-plane (b) the yz-plane (c) th...

A: a.)Point - (2,-7,8) = 2i-7j+8kxy plane - i+jDistance = 2-12+-7-12+8-02Distance = 1+64+64Distance = 1...

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

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Q: Evaluate the integral  (x+9) / (x^2+4) dx

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