What is an antiderivative of the function x + 2xln(x) ?

Q: Find the critical points in the domain of the function f(x) = 9x³ – 8x. Enter the exact answers in…

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Q: Find the critical points in the domain of the function f(x) = 7x³ - 6x.

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Q: Find a formula for a cubic function f if f(3) = 24 and f(−1) = f(0) = f(4) = 0.

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Q: When finding the moment produced by a three-dimensional force we commonly use the equation M = r X…

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Q: 33 ow your work and explain, in your own words, how you ar relevant explanations may receive reduced…

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Q: IV. Use the properties of the dot product to evaluate the expression, assuming that u v = 2, ||u|| =…

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Q: Let f(x) = 2x³ - 3x² - 72x+1. a. Find all points on the graph of f(x) at which the tangent line is…

A: Let fx=2x3-3x2-72x+1 (a) To find all the points on the graph of fx at which the tangent  lines are…

Q: Consider a right triangle with a side of length opposite angle A, a side of length y opposite angle…

A: Given: Consider a right triangle with a side of length x opposite angle A, a sideof length y…

Q: Q Use horizontal strips to find the area, that is, integrate with respect to y. = First find the y…

A: Given functions  y = 3.75x x = 8.5 - y2

Q: Consider the following integral: a) Note: answers are to be entered to four significant figures. b)…

A: Finally, just sum up the above values and multiply by Δx/2 = 1/4 : = 1/4(10.76720 + 22.10994 +…

Q: 75 Compute the definite integral cos³ (2x) sin² (2x)dx . 4 30 2 15 1 15 6 775 10

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Q: Given one form a line, match it with its equivalent equation in another form. [x, y, z] [3, 2, 1] +…

A: a. x,y,z=3,2,1+t1,2,3b. x,y,z=-1,0,1+t0,1,0c. x,y,z=1,2,3+t3,2,1d. x=0y=1z=te.x=-ty=1z=1+t

Q: z³dz /4 – z²

A: To perform the indicated integration by using Rationalizing Fractions. ∫z3 dz4-z2

Q: 9. Give an example of a spreadsheet formula that uses cell references and the most efficient formula…

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Q: 5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x)…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: We know that the volume formula int_a^b pi (f(x))^2 dx

Q: Find the area of the shaded region. NO y=0 2 2 y = x^3 - 4x^2 6 8 HH 10

A: The equation of the curve is y=x3-4x2 and y=0

Q: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

A: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

Q: 2. a) Evaluate the integral. sin(3nt)dt b) 2x³ +3x6 dx

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Q: Determine the concavity and points of inflection for y = 2cos(x) + sin(2x) over the interval 0 ≤ x ≤…

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Q: 1/3 The integral fo²³ 3-√2-9x1² dx is to be evaluated 0 directly and using series approximation. 1)…

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Q: 6) Use the Binomial Expansion Theorem to determine the sixth term in the expansion of (x + 3y)8

A: The nth term in the binomial expansion of (x + y)n is given by Tr+1=nCrxn-ryr

Q: 3 Given that y = ³x solves -2xy"+(6x+2)y-6y=0, find the second solution of the above differential…

A: -2xy''+6x+2y'-6y=0

Q: 15, Suppose a company has fixed costs of $1200 and variable costs per unit of 16x + 1620 dollars,…

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Q: Find the average value of the function f(x)= xex² over the interval [0,2].

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Q: Let f(x)= - (2.-17). a. Use the following definition of the slope of the tangent line at x = a to…

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Q: Question 8 What are the domain, range, and period of the function f(θ) = –3cos(–2θ)? Answer in…

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Q: Find the equation of the plane determined by the intersecting lines: (x-2)/3=(y+5)/-2=(z+1)/4 and…

A: We have to find the equation of plane determined by the intersection lines.

Q: Determine the marginal profit for the sale of 500 units of the product if the cost function for…

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Q: Determine a definite integral that represents the arc length of = 2 cos(8), 0 ≤ 0 ≤ H2 2 do

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Q: The expression (3a¹b³c¹)² (2a²b³c³)³ equals na²b³c¹ where n, the leading coefficient, is: and r, the…

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Q: The parametric equations represents a line. Without eliminating the parameter, find the slope of the…

A: Given x = - 6t - 3 & y = 5t + 2

Q: find the general solution (GS) of the following initial value problem (IVP): y₁ = y₁ + 3y2 where y2…

A: The given system of differential equations: y1'=y1+3y2y2'=13y1+y2Initial conditions are:  y1(0)=12…

Q: Solve ABC. Round the lengths of sides and measures of the angles to 1 decimal place if necessary. A…

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Q: ƒ(x) = x + 1 X

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and…

A: Given, px = 1.60x for  x ≤ 301.30x+k  for  x > 30  We have to find the value of  k such that…

Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

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Q: Find the derivative of the function. f(x) = 2e³x-1

A: We have,      f(x)  = 2e8x-1

Q: J 3x ex dx

A: The given integral, ∫3xexdx. We have to solve this integral.

Q: Use the Midpoint Rule with m = n = 2 to estimate the value for R= [0,8] × [0, 6] X Submit Question…

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Q: Find a series expansion centered at x = 0 for M8 Σ • Sf² 2²², n=0 t¹³ sin(t)dt.

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Q: 1a Differentiate the following functions with respect to t and simplify your answer as far as…

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Q: Evaluate the integral. (Use C for the constant of integration.) [70 7 tan(x) sec³(x) dx

A: The integration given is, ∫7tan(x)sec3(x)dx

Q: 2. Determine the cartesian equation for a line that passes through the point (4,-3) and is…

A: The line passes through the point 4,-3 and is perpendicular to the line r→=2,-3+t5,-7 Therefore, the…

Q: 17) Use the Binomial Expansion Theorem to determine the coefficient of xº in the expansion of (x² +…

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Q: For all positive x, (Hint: Think change of base!) A. log2x OB. 10842 = 1/ C. log24 = 2 10g4x 1og2x…

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Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

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Q: 40. S™ cos t e sin 2t dt

A: NOTE: Refresh your page if you can't see any equations. . ..................(1) substitute…

Q: for fx xy fy yx f(x,y)=3x³y² + 4(3x + 2y)³ find

A: Given function is fx,y=3x3y2+43x+2y5

Q: Consider the following differential equation to be solved by the method of undetermined coefficients…

A: According to question,Given differential equation,y''-2y'+10y=ex cos3x