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Q: The given table gives y as a function of​ x, with yequals ​f(x). Use the table given to the right to...

A: Given table,   Find: y=f(-8) y=f(15)

Q: Divide 2x4 + 3x3 - 7x - 10 by x2 - 2x.

A: The given expression is  2x4+3x3-7x-10x2-2x

Q: c. f(a) = 77.97 and the average rate of change of f over the interval from a = a to r = a + 209 is 0...

A: The value of fa+209.                

Q: Evaluate the integral.

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Q: Find the domain of the function f(x) = √(x - 3)

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Q: See attached image for question.

A: Consider the given information: Since the object id dropped from the height, then the initial veloci...

Q: First find f+ g, f-g, fg and -. Then determine the domain for each function. f(x) = 5x + 8, g(x) =x ...

A: We have f(x)=5x+8g(x)=x+1

Q: Evaluate the integral. (Use C for the constant of integration.) x² dx 81 - x2

A: Given,             ∫x281 - x2dx

Q: Q3// Does the parabola y = 2x2 – 13x + 5 have a tangent whose slope is (-1)? %3D If so, find tangent...

A: To find the slope of the tangent of the parabola we need dydx. y=2x2-13x+5dydx=4x-13      

Q: Use the general slicing method to find the volume of the following solids. The solid whose base is t...

A: Given, the region bounded by the curves y = x2, and y = 2 – x2. We have to find the volume of the so...

Q: Find the set of parametric equations of the line through the point (1, 6, 3) that is parallel to the...

A: The direction ratio of the line x=6+5t, y=6+2t, z=4+2t is (5,2,2). Parallel lines have the same dire...

Q: Trigonometric integrals Evaluate the following integrals. ∫10 tan9 x sec2 x dx

A: To determine: ∫10 tan9x sec2x dx  

Q: Verify the identity: sin2 θ(1 + cot2 θ) = 1

A: Verify: sin2θ1+cot2θ=1

Q: Verify that f′(x) = g′(x) and explain the relationship between f and g

A: fx=3xx+2f'x=ddx3xx+2=x+2(3)-(3x)(1)x+22=3x+6-3xx+22=6x+22

Q: Use the Laws of Logarithms to expand the expression. log7(xvy)

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Q: Given a position vector v, why are there infinitely many vectors equal to v?

A: For given position vector, there are infinitely many translations possible. It is known that the mag...

Q: 2. Determine whether the integral converges or diverges. Evaluate the integral when possible. Be car...

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Q: A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (...

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Q: See attached image for question.

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Q: 1. Using the fact that sin θ and tan θ are both periodic functions, calculate sin (325π/ 4) and tan ...

A: Using the fact that sin θ and tan θ are both periodic functions, calculate sin (325π/ 4) and tan (32...

Q: Let y=x+∣∣x2−8∣∣. Find the derivative of the function at x=3.

A: Given that y=x+x2-8.

Q: Evaluate 7(x - 3) / (2x - 16) for x = 9

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Q: Use properties of logarithms to condense the logarithmic expression, ln x + ln 7. Write the expressi...

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Q: Find the exact value of sin α = 3/5 , 0<α<π/2, and sin β = 12/13, π/2<β<π. under the giv...

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts f...

Q: Find dy/dx by  implicit differentiation for: Sin(x+y)=y^2cos x ANd  Sec(xy)+e^y=3x-4

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Q: Find the absolute maximum and minimum values of the function f(x, y) =2x2− 4x + 3y2 + 2 on the regio...

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Q: See attached image, compute for the first function.

A: fx=3x1-x   , (for x≠1) We need to find the derivative of the given function using the limit definiti...

Q: What values of x does the graph y=x/x^2+1 have a horizontal tangent line?

A: For finding horizontal tangent line we have to find slope of the function and set it to zero y'=0

Q: A 50-gallon barrel is filled completely with pure water and then salt water with a concentration of ...

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Q: 2. Consider the equation In(x) + In(x+2) = 4. (a) Solve the equation above for x. Next to each line ...

A: Given lnx+lnx+2=4

Q: Solve absolute value inequality : l3 -(2/3)xl > 5

A: According to the question, we have to solve the inequality |3-23x|>5. As the above inequality is ...

Q: (5) Find the derivative f' (x). (You may use derivative properties) (a) f(x) = 772 (b) f(x) =x-3 (d)...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Find the coordinates of points where the graph of f(x) = x4 – 4x3 + 6 has horizontal tangents. As a ...

A: For the horizontal tangent, the slope is 0.  To find the slope we need f'(x)   We find f'(x) using t...

Q: Breaking down steps to solve c57

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Q: A 50ft ladder is placed against a building. The base of the ladder begins to slip away from the buil...

A: Let us denote x=horizontal distance from the wall  y= vertical distance from the base  Given that dx...

Q: Changing order of integration Reverse the order of integration and evaluate the integral.

A: The given integral is, ∫04∫x2xy5+1dydx

Q: Q1// Graph and discuss, with detail, the continuity of the function 1 -1 sx <0 0 <x<1 x = 1 . 1 <x <...

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Q: Use the Chain Rule to find , for y = dy 2 and u = 2x 9. %3D (Use symbolic notation and fractions whe...

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Q: cos(t) 2. The position of an object at time t in seconds is modeled by s(t) Determine the t+ T veloc...

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Q: Find the equation of the line that passes through point (1,3) and is perpendicular to the that passe...

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Q: 2x -+4 da. a3 + 4r

A: Given that: The integral ∫2x2 -x + 4x3 + 4x dx .

Q: Graph each side of the equation tan(π - x) = -tan x in the same viewing rectangle. If the graphs app...

A: tanπ-x=-tanx Now the graph is,

Q: I do not understand how you determine the -1/4 for the answer please explain

A: The given graph is of downward parabola, so the equation for the graphed function is y=k(x-h)2+k whe...

Q: Write sin (cos-1 x/3) as an algebraic expression. Assume that x &gt; 0 and x/3 is in the domain of t...

A: Given that, sincos-1x3.    

Q: Determine whether the integral is convergent or divergent. 8 sin(8) de If it is convergent, evaluate...

A: