11. fx² cos(x³) dx

Q: Let f(x) = ln(x5) ƒ'(x) = ƒ' (e³) =

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Q: Givin that f(x) = 2x²-5X-3 find all values of x for which fix) = 9

A: Solve as general

Q: Find an equation for the tangent to the curve at the given point. 6) y=x2-x, (-3, 12)

A: First find slope then use equation of tangent line

Q: a(t) = t2 −4t + 6 , s(0) = 0 , s(1) = 20

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Q: Given y = t³ - 9t x = t² - 3. A) Find dy/dx, determine all critical numbers. B) Find d^2 y / dx^2 to…

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Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $90 per barrel. If…

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Q: α. C Bl b = 6 a. Triangle above. IF C= √61, 6=6 Find a, d and B.

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Q: the following series for conve 2π) 6 3n 2x5x8 2x5x8x11

A: We have to consider the given series are convergent or divergent according to the given information

Q: Consider the following. = 3x³ + x y = (a) Find the interval(s) of increase. O (-∞0, 0) 0 (0,00) O…

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Q: Evaluate the integral. √3 √1/√31 8 + x² dx

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Q: 10. 1 -3-3x 3-3x-у 15. 0 J0 Т 0 dz dy dx

A: Topic:- application of integration

Q: The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and…

A: dtndt=ntn-1formula is speed =dsdtaccelaration=d2sdt2

Q: To algebraically find the points of inflection of f, we find values of p in the domain of f such…

A: To choose the correct statement about point of inflection

Q: weekly price-demand and cost equations are, respectively, p=487 -0.37 x and C(x) = 20,127 +22 x.…

A: Given price demand function p = 487 - 0.37x Cost function C( x ) = 20127 + 22x as we know that…

Q: 3. Find the area under the parametric curve c(t) = (t³,t²-1) for 1 ≤ t ≤ 5.

A: Use area formula in parametric form

Q: f f(x) = V x + 1 , for x 2 -1, then for y 2 -1, fy2 + 2 y ) y + V2x+ 1 ) 1 - وكاد 1 ) V2x+y2

A: f(x)=x+1for f(y2+2y)  put x=y2+2y in f(x)

Q: Given the graph of f(t), let A₁ A -2 A. Evaluate 4 [ƒ f(t) f(t)dt = [ f(t)dt. 2 A2 Total area = =…

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Q: 2. Verify: (sinx+cos x)² = 2 − (sin x − cos x)² -

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: Given f(x, y) = sin(x + y) where x = : s¹tº, y = 4s – 6t. Find f(x(s, t), y(s, t)) = ft(x(s, t),…

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Q: Determine the length of the curve Cost 10204 TI 4 4

A: To determine the arc length of the polar curve

Q: 5. Convert from Polar to Rectangular Coordinates: (r,0) → (x, y) (-2,-5)

A: in polar  coordinate  x=rcosθ  and y=rsinθgiven  r=-2 and θ=π3

Q: In z [122 10. -da dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method…

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. A rectangular garden…

A: Given: The side along the driveway is labeled "$6 per foot" . The remaining three sides are labeled…

Q: Evaluate each of the following integrals 3. 1/4 dx (2x+1)(2x-1)

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Q: Solve the problem. 15) Water is falling on a surface, wetting a circular area that is expanding at a…

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Q: its not correct

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Q: ate the integral. Prox f(x) dx where f(x) = 2 if -2 ≤ x ≤ 0 {²₁ - x² 14-x² if 0<x≤2

A: Given is to find the integral

Q: Write the sum using sigma notation: 1 1 + 1-2 2.3 A = wwww.... B || + 3.4 1 143 144 n=1 B, where

A: Please see the below answer.

Q: Determine the limit by sketching an appropriate graph. for x

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Q: A patient's temperature is 101 degrees Fahrenheit and is changing at the rate of  t2 − 3t  degrees…

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Q: Find all the antiderivatives of the function f(x) = -6.

A: ∫xndx=xn+1n+1+cgiven  f(x)=-6

Q: 2- Find the equation of the tangent line to the curve 9xCos(7y) + 5y = 9 at y = 0.

A: To find the equation of the tangent line to the curve 9x cos7y+5y=9 at y=0.

Q: The velocity of a particle traveling along a straight line is given by v(t) = 2(t² – 2t − 3) for 2 ≤…

A: INTRODUCTION:  The indefinite integral is typically carried out in troubles concerning distance,…

Q: Find the tangent plane to the equation z = z = Question Help: Video Submit Question Jump to Answer…

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Q: Question Find the equation of the tangent line to the curve defined by the equations x = t +, y = t…

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Q: a) Evaluate the following integral. 2 2w5-3w+8 dw 2w² S²

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

Q: 4. The height of a triangular fin emerging from the ocean increases at 5 in/s as the length of its…

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Q: A manager must decide on the mix of products to produce for the coming week. Product A requires…

A: see below the answer and explanation

Q: -S₁ Let g(x) = X = f(t) dt, where f is the function whose graph is shown. X = y 3 X = 2 1 -1 -2 f(t)…

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Q: Evaluate. (Be sure to check by differentiating!) (In x) 15 X (Inx)15 dx, x>0 f(in; dx = X (Type an…

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Q: 58. If the birth rate of a population is b (t) = 2200e0.024 people per year and the death rate is d…

A: NOTE: Refresh your page if you can't see any equations. . the birth rate is  and the death rate is…

Q: Find the following limit using l'Hopital's Rule: Answer: lim *→0+ * √t cost dt x² Enter the word…

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Q: 7x+2 8- Find S dx (Using substitution method). √7x-3

A: Here we have to find the given integral by using substitution method.

Q: 2 2 Find ** (5x + 4y)5 drdy Question Help: Video Submit Question Jump to Answer

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Q: The graph of the equation y = x²+x-2 meets: Othe x-axis at (-2, 0), (-1,0), and the y-axis at (0, 2)…

A: for x-intercept put y=0for y-intercept put x=0y=x2+x-2

Q: Evaluate each of the following integrals 5. 2 dx x-1 2

A: (5) Evaluate ∫122dxx-1=?

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: To find the distance drove between 1 pm and 3:45 pm.

Q: average rate of change of f(x)=4x^2-7 between the pair of points (x,f(x) and (x+h,(f(x+h))

A: Given query is to find average rate of change.

Q: Evaluate the limit using L'Hôpital's rule 7x³ e10x lim x →∞

A: Given query is to find the limit.

Q: Find the vertex, focus, and directrix of the parabola x² +12y = 0.

A: The given equation is x2+12y=0