Rewrite the integrand in terms of u so that the X integral IT da takes the form f(u) = 3x² +10 Calculator ff(u)du.

Q: Given f(x) = 8e²x df dx = Use parantheses when typing in the exponent.

A: Given that we need to find the f(x)=8e2x derivative of f(x). We will solve by using derivative…

Q: Find the indicated vector. Let u = (1,5), v = (-4, 6). Find u + v. 19 2

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: 12. A toy factory is trying out two different production methods. The rate of production (in toys…

A: A toy factory is trying out two different production methods. The rate of production (in toys per…

Q: The area of the surface generated by rotating the curve y = ln (3x), where 2 ≤ x ≤ 3, about the…

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Q: Given that f(x) = x³h(x) h(-1) = 4 h'(-1) = 7 Calculate f'(-1).

A: Given : f(x)=x8h(x)             h(-1)=4       h'(-1)=7   To Find : f'(-1)

Q: Find the volume of the given solid bounded by the planes z = x, y = x, x + y = 9

A: We have to find the volume of given solid.

Q: Find the most general antiderivative of the function f(x) = 4x − 4(1-x²)-1/2, where -1 < x < 1. Use…

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Q: he area of the region bounded by f(x)= x³, g(x)=10-x, and X =

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Q: Need an help The height of an object t seconds after it is dropped from a height of 280 meters is…

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Q: • Assume that Supply has a quadratic relationship with the price. Find this relationship (the help…

A: Supply function ⇒Sp=-25.231p2+226.312p+309.470Demand function ⇒Dp=68.656p2-462.264p+1150.016Now…

Q: The radius of a circular disk is given as 22 cm with a maximal error in measurement of 0.2 cm. Use…

A: Given: Radius of the circular disk, r = 22 cm Maximal error in measurement, Δr = 0.2 cm (a) To…

Q: Evaluate A. B. C. D. x/6 27T 363 35k 768 23T 765 12T 81 √(cos3AjºdA.. 1 Integrate 3x + 4 evaluate…

A: To evaluate ∫0π6cos3A8 dA. Note: Since the student has posted multiple questions and does not…

Q: Find dy/dx by implicit differentiation. /xy = xy +56

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Q: .Evaluate the integral of (3x +9y) dx dy if the interior limits has an upper limit of y and a lower…

A: Let's consider the integral as given below: I=∫ab∫cdf(x,y)dxdy---1 Where f(x,y) is function of two…

Q: Find the tangent plane to the equation z = 5y cos(4x - 3y) at the point (3,4,20) Z= Basic Funcs Trig…

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Q: Find the equation of the tangent line to the curve y = 6 sina at the point (7,3). The equation of…

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Q: he indicated method of solution for the following. Solve: sin x cos² y dx + cos²x dy = 0, y(0) = ㅠ 4…

A: The given differential equation is;  Sinx cos2y dx + cos2x dy = 0, y(0)=pi/4

Q: What is the area (in square units) bounded by the curve y² = x and the line x-4=0? A. 30/3 B. 31/3…

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Q: Evaluate f (tcos² ti+1/tj+sec² tk) dt

A: To solve the following

Q: 3. Let f: R R be the function f(x)=x²-x, defined on the interval [0,2]. (i) Sketch the graph of f(x)…

A: SOLUTION:-   Given, f: R→R be the function f(x) = x² - x, defined on the interval [0,2]. (1) We need…

Q: dx 3+2x S-3

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Q: Rewrite the integrand in terms of u so that the integral f(u) = x √ (32²² -da takes the form…

A: To rewrite the integrand in terms of u so that the integral ∫x3x2+64 dx takes the form ∫fu du.

Q: Let f(x) = 12-x² The slope of the tangent line to the graph of f(x) at the point (-3,3) is The…

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Q: Find d dx [In(3x + 4)]

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Q: For the given function and values, find Af and df. (Round your answers to three decimal places.)…

A: Given function f( x , y ) = x2 + xy + y3x = 2 , ∆x = dx = 0.7y = 1 , ∆y = dy = -0.1

Q: Can someone please explain the steps? Use the method of tubes (also known as the "method cylindrical…

A: We have to find the volume of the solid using method of cylindrical shells.

Q: The gradient of f(x, y) V f(x, y) = (fz (3, Then fa(3, -3) = = fy(3, -3) = Calculator Check Answer ◄…

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Q: Find the relative extreme value of the function. f(x, y) = x³ + y³ - 24xy

A: Let's find the partial derivative of f(x,y) w.r.t x and y  ddxf(x,y)= 3x2-24yEquate ddxf(x,y) to…

Q: Q2 Suppose f(1) = 0. f(4) = 3. f(16) = 7. f(a) 7, [*(f(x))² dx = 5. Select the correct answer in…

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Q: What is the final value of the following postfix expression: (Hint: You can draw a tree if it helps…

A: 9 3 / 5 + 7 2 - *

Q: The height of an object t seconds after it is dropped from a height of 280 meters is s(t) = -4.9t2 +…

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Q: Evaluate √a²-x² -√√a²-x² { 2xy dx dy

A: The given integral ∫0a∫-a2-x2a2-x22xy dx dy.

Q: Find the following using the table below. x 1 2 3 4 f(x) 4 2 3 1 f'(x) 1 2 4 3 g(x) 4 2 3 1 g(x) 4 3…

A: The function and its derivative values are given in the table. To find the values of h'3 if hx=fx.gx…

Q: Please solve and show all work. Find the linear approximation of f(x) = ln x at x = 1 and use it to…

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Q: f(-2)=-13 and g(-2) = 11

A: f-2=-13 and g-2=11

Q: Let g be a continuous function, and suppose we know the following: f*9(x) dx = 12 ²9² g(x) dx Then,…

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Q: For the function, f(x) = 5x³ - equation of the tangent line at x = 1. 2x²-3x-1, find the

A: given f(x)=5x3-2x2-3x-1→ equation of tangent line of f(x) is,  y=mx+cwhere m is slope of line

Q: 2. f(-2)--13 9(-2)=11 (F-9) (-2)=

A: f(-2)=-13 g(-2)=11

Q: Find the maximum for the profit function, P = 3x + 12y subject to the following constraints. x+y≤ 80…

A: We have to find the maximum profit

Q: Let F(x) = f(x) and G(x) = (f(x))³. You also know that a = 3, ƒ(a) = 3, ƒ'(a) = 11, f'(a³) = 9 Then…

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. 42)…

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Q: Given f(x, y) = 3x - 5x²y³ + 4y², find fz(x, y) = 123-10xy³ fy(x, y) = fax(x, y) = fry (x, y) =…

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Q: In the incidence matrix for this figure, what would be the element in row 6 column 4? 8 5 4 6 7 2 3…

A: We need to determine element in row 6 and column 4.

Q: Find the area of the region bounded by y = 8x and y = 2x. A. B. C. D. 1.22 sq. units 1.33 sq. units…

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = ["²₁ √²³ + ¹³dt…

A: given f(x)=∫-1xt3+13dt

Q: What is the area bounded by the curve y = x³, the x-axis and the line x = -2 and x = 1? A. 4.25 B.…

A: To find the area bounded by the curve y=x3, the x-axis  and the line x=-2 and x=1.  Note: Since the…

Q: The marginal cost of manufacturing a yards of a certain fabric is C'(x) = 3-0.01x + 0.000006x2 (in…

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Q: Find the directional derivative of the function f(x, y) = ln(x + y³) at the point (-3, 1) in the…

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Q: 2. Consider f(x) = ax³ + x + 1, where a is a real-valued parameter. Find all possible values of a…

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