Sketch the graph of P(x) = x*(x+ 6)(x – 4)*(x – 7)². Scale is not important, but your graph shou have the correct shape, intercepts, and end behaviour.

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A: We have to find equation of a plan passing through given points and parallel to z-axis.

Q: Given the piecewise function defined below, determine the value of | f (x)dx in simplest form. S-322...

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Q: Consider the function 9(x) = (3x + 5)*2 %3D Which of the following expressions would we use to deter...

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Q: Given vectors u = (-6, 5) and v = (1, –4) , find the difference V – u and represent the difference g...

A: Vector

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A: maxima minima question, if it is helpful, like and thumbs up.

Q: Use induction to prove: for any integer n 2 0, 2. 3 = 3"+1 - 1. %3D j=0 Base case 2.3 = j= n = , 3n+...

A: for any integer n≥0,∑j=0n2. 3j=3n+1-1

Q: Consider the function in the graph to the right. The function has a maximum of at x = 10 The functio...

A: Use graph

Q: 4- find Juw w = X + y y + Z ९ ८०९ ६ y = e Sint and

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Q: 12 17 Find p, q if s" f(x) dx + fi2 f(x) dx = " f(x) dx. (Give your answers as whole or exact number...

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize...

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Q: f(x) = 2 – a? %3D O Odd O Even O Neither

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find f. f'(t) 8 cos(t) + sec?(t), -7/2 <t < a/2, f(a/3) = 5 f(t) =

A: Given 

Q: +/t%edt 1. 2. Se-x/2dx 3. 3*e*dx

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Q: 1> =a,-4,57is to U=2,-4,5 812.Detemmine -> onthogonal

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Q: If C(x) = 3000 + 10x - x2 then find the marginal average cost function C'ave (x) C'ave (x) = 10 – 2x...

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Q: For y = In (x' + 3x - 9) , to find would require the chain rule. If y = f(g(x)) find an f(x) and g(x...

A: Given that        y = ln(x7+3x-9)

Q: Evaluate the given integrals. z3+1 2. z+1

A: Explained below 

Q: 23. Evaluate /// p² dV, where E is the solid that lies within the cylinder a² + y? = 1, above the pl...

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Q: The shaded region shown below is bounded by the functions f(x) = -a² – 1.5x = 2.5. Find the area of ...

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Q: 6. The derivative of f(r) = a" + log, r equals %3D 1. 1 (a) f'(x) = In a · a" + In a r (b) f'(x) = a...

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Q: Consider the following function: S-9x2 + 5x + 6 if x 1 Step 1 of 2: At what x-value is the function...

A: Topic = Functions

Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next...

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Q: tunction is eontinuas f(x) = [2x²2x4 X-2 at 2 x = 2

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Q: If g' (x) = f(x) with g(-5) = a, g(-–3) = b, g(-2) = c, and 1 f 3 g(6) = d. , express the value of d...

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Q: ~3 1 (c) dx (x 1) 3. -

A: Given query is to find the integral.

Q: Calculus Question

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Q: To find the arclength of y = 2x2 - 2 from a = 0 to x = 5, which is the correct integral? OL= VI+ 16r...

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Q: Determine whether each point lies on the line. x = -4 + t, y = 6t, z = 7 +t (a) (0, 24, 11) Yes No (...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

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Q: f (2x+ 3) dx -1. Write an equation that can Let f be a function such that be inferred involving the ...

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Q: Solve the equation. マ+ 16 O {2} 骨 {-2}

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Q: 10.5 Csc In x-2 da x (csc Inx+1) A

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Q: Find the exact length of the polar curve r=1+ cos 0

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Q: evaluate the improper integral / 1 dx. Does it converge x(In x)2 diverge? Justify your claim.

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Q: 3. Determine whether the function is continuous at the given values of a. Show your complete solutio...

A: Given function fx=x+2if x≤12x2if 1&lt;x≤3x3if 3&lt;xiTo chaque the function is continuous  at x=1x+2...

Q: Find the linear approximation of the function f(x) = V1- x at a = 0. L(x) = Use L(x) to approximate ...

A: topic - linearization of a function

Q: 7. x´+ 2 cos x -1 + 20x) : dx (use rules)

A: We have to differentiate

Q: Use the table below to find: (f o g)(10) = (go f)(7) = %3D %3D (f o f)(2) = (9 o g)(9) = || -9 -7 -4...

A: Use the table 

Q: Problem 2 Solve the differential equation y" + y = cot x using Method of Variation of Parameters

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Q: The differential equation y (x y e² ) = y³ež + æ2? has a solution of the form f(x, y) = ln |x| + C. ...

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Q: Given vectors u = (-4, 7) and v (3, –2), find the difference v u and - epresent the difference graph...

A: Vector

Q: plane passes through each X + 2y - 4z - 1 = 0 %3D (a) (-5, 1, –1) O Yes O No

A: Given query is to find plane passes through the point or not.

Q: e implicit differentiation to find y' and then evaluate y' at (- 1,1). x In y + 4y = 3x3 D |(-1,1) =...

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Let R be the region bounded by the functions f(x) = -x² – 2x and g(x) = x as shown in the diagram be...

A: Solution :Area =∫-30fx-gxdx

Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: Solve for the derivative of the function using chain rule. 11. f(x)= ln(sin(8x))

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Q: Suppose f(x) = Va. Give the function for each of the following transformations. The graph of f(x) re...

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Q: n+1 24. 2n +3 n=0

A: Given query is to find the series converges or diverges.

Q: Next, we integrate the resulting integral with respect to u using the Power Rule. (Remember the cons...

A: Question is solved.