Find Duf at P. 1 2. f (x, y, z) = 6x³y°z°; P(2, – 2, 2); u %3D - -

Q: v du is? x³ sin (x²) dx ¡s evaluated using IBP, the value of J When

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Q: 100e0.1z thousands of Over the next 5 years, a company projects its continuous flow of revenue to be…

A: To find the expected profit of the company

Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: The error in the estimate of the cost of the wood is 120P

Q: Given the differential equation -7x y" + y' = 6x2 Use Reduction of Order and the letter "R" to…

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Q: For the integral, / tan'x sec*x dx, if we let 4=tan x, what is the re-written form of the integral?

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Q: For time, t, in hours, Osts1, a bug is crawling at a velocity, v, in meters/hour given by 7 v = 6 +t…

A: Here, the distance is given by: p=∫0176+tdt Let, v=f(t)=76+t Now, divide the interval into…

Q: 14. The set of all critical numbers of f(x) = 2 cos x + sin 2x on (0, 2n) is B. {등, 똥) 5T A. . В. c.…

A: f(x) = 2cosx +sin2x for critical point derivative of function is 0 f'(x) = -2sinx + 2cos2x -2sinx +…

Q: f(2) = | Given t2 – 49 -dt 1+ cos2(t) At what value of x does the local max of f(x) occur? | f(x) x…

A: Explained below

Q: 1- 2x2 - cos 2.x 3. Use the Taylor series to evaluate lim DO NOT USE L’HOSPITAL'S RULE. x4 Evaluatee…

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Q: Use the power reduction formulas to rewrite the expression. sin (6x)

A: Here, we have to rewrite the given expression in simplest form. It means that eliminate the higher…

Q: Find the area bounded by y = x + 4 and y = x2 - 2.

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Q: Construct table of values. Sketch the graph and find the indicated limits, 1 1. lim x+4 x-4 1 2. lim…

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Q: Evaluate 4x2 + 4x + 5 dx

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Q: f(x) = 4e−2xsin(x2) 1. What is the first derivative of the equation? 2. Find f′(−1) manually.

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Q: 5- S(tanx + secx)² dx

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Q: If the demand equation for an item is D(x) = -3.4x + 740 and a supplier is willing to supply 90…

A: answer is in next step

Q: ||r(t) × r"(t)|| ||r()* Use the formula k(t) to find k(t). r(t) = 8 cos(6t)i+8 sin(6t)j+ 7tk K(t) :

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Q: Find the area bounded by the curve y = 4x - x2 and the lines x = 0 and y = 4.

A: topic - area bounded by curves

Q: ssignment : Determine the integral of the ff. function 1. S- 6 dx 2. S5 х4 dx 3. S ( 4 x7 + 7) dx 4.…

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Q: What is the volume of the solid formed by revolving the region bounded by a2 = 6y and y = 6 about…

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Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a = 0 to a = 1…

A: The curve y=3x32-4, from x=0 to x=1

Q: 15x2 – x3 - 43x - 19 Ax +B C D The integral dx can be rewritten as + dx. (x+1)2(x2-6x+ 13) J ax2+…

A: We need to evaluate integral.

Q: x y" - 3 y' = 7x Using Reduction of Order and the letter "R" to this differential equation reduces…

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Q: Consider the curve y = 3x3. The sketch of the portion of this curve between x = - 1 and x = 8 is…

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Q: Evaluate the integral (3x – 1)(V+ 1)da. -

A: In this question we have to find the Integration.

Q: 8. xy +y2 - x²y' = 0

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of h(z) = , • sin (z ) (cos…

A: A detailed solution is given below.

Q: Evaluate the integral aV3 +5 dx. 1 (a) ;(²³ + 5) + C 1 (c) - (22 + 5)을 + C (b) –;(2³ + 5) + C 1 --…

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Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: To find the area of the region bounded between the given curves.

Q: Consider the following. f(x) = x4 + 6x2 – 27 - (a) Write the polynomial as the product of factors…

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Q: n the 3-o'clock direction.

A: answer is in next step

Q: If f(x) tdt then f'(x) =

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Q: 8. Find the magnitude and direction angle of the vector u = (-5,-2).

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Q: Determine all real zeros of f. Ax) = x³ + 4x² – 9x – 36

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Q: Find an equation y = f(x) for the parametric curve c(0) = (cos(0), 10 cos(0) + 3 sin? (0) and…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Find the focus, directrix, and length of the latus rectum. Graph the parabola. Label the vertex,…

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Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

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Q: f(x) = 2cos(3x−2) 1. What is the first derivative of the equation? 2. What is the second derivative…

A: The given function,         fx=2 cos3x-2 Note:     multiple subparts are given, we are answer only…

Q: f(x + Ax) - f(x) D. APPROXIMATE DERIVATIVES f (x) Ax 7.) y = x2 +7x – 10

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Q: Consider the following. -x2 – 4 f(x) = (a) State the domain of the function. all real numbers x…

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Q: If f(x) (t3 + 7t + 7)dt then f"(x) =

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Q: x2 – Evaluate the integral = 2.x +3 dr.

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Q: If matrix A is 2 by 4 and matrix B is 3 by 5 then AB is by If an answer does not exist, enter DNE.…

A: Let's find.

Q: At least one of the answers above is NOT correct. Suppose f(x) is continuous on [3, 7] and -2 <…

A: Solved below

Q: Solve the given differential equation. Ans: + cos x = c 1. y' +y2 sin x = 0 %3D y

A: The objective of the question is solving the differential equations.

Q: Find the vertex of the parabola. y = x2 + 14x + 49 Please enter your answer as an ordered pair.

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Q: Noting that C1: r=cos0+1 and C2: r=2cos0, let R be the shaded area.

A: Given C1r=cosθ+1C2r=2cosθ

Q: 1. f(t) = sinh? t

A: Given

Q: ex - (1+ x) Use series to evaluate lim 6x2 ex-(1+x) lim %3D 6x2 (Type a simplified fraction.)

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