Solve (11x + 12)eª dx using Integration by Parts. 11x + 12 and v' = eª. Use u =

Q: Subject: calculus  Using integration, find the area of the region enclosed by the lines 2x+y-6=0…

A: Given equation of lines are as following 2x+y-6=0 ; 3x-2y-1=0; x-3y+4=0 To find the area enclosed by…

Q: 3. (a) Evaluate each definite integral using partial fractions (b) S x² + x + 1 (x + 1)²(x + 2) dx S…

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Q: 9. Find an equation of the tangent line to the curve x³ + y3 = 9 at the point (1.2). Solution:.. dx…

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Q: Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has…

A: we have given the marginal cost function C'x=0.0006x2-0.14x+25 Daily fixed cost is = $900

Q: Write the vector below in trigonometric form. f =< -√√6, -3v

A: f=&lt;-√6,-3√2&gt; Trigonometric form = ||m||&lt;cosθ,sinθ&gt; m=(vx2+vy2)tanθ=vyvx

Q: Find the area of the parallelogram whose vertices are given below. A(0,0,0) B(4.2.6) C(8,0,6)…

A: Vertices of a parallelogram, to find its area.

Q: 71. 8 5 1 -dx xulz x

A: Given: ∫5∞1x2lnxdx To find: Using comparison test whether the given interval converges or not Let…

Q: L² 2 (2x² – 3x) dx

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Q: Solve the trigonometric equation for all values 0 < x < 5. tan ㅠ -X- 3 - √3=0

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: The region enclosed by curves 6x+y2=16 and x=y

Q: Find the area of the triangle whose vertices are given below. A(-6,6) B(3,-2) C(11,-2) The area of…

A: Given: Triangle points:-  A(-6,6) B(3-2) C(11,-2)

Q: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 450 - 0.09x², x…

A: For the demand function dx and demand level x, to find  the consumers' surplus. dx=450-0.09x2, x=40…

Q: If f(x, y, z) = 3xy²z³ + arcsin(x√√z), find fxzy. [Hint: Which order of differentiation is easiest?]…

A: fx,y,z=3xy2z3+arcsinxz

Q: Find the volume of a parallelepiped if four of its eight vertices are A(0,0,0), B(3,1,0), C(0,…

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Q: Show that if f'(x) exists, then we have. lim f(a+h)-f(a-h) = 2f (a) h→0 b

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Q: Find the Maclaurin series of 5.² n=0 sin(t) t3 dt.

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Q: Perform the indicated division and write the quotient and remainder in the provided blanks. 5x²…

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Q: Use the Integral Test to determine whether the infinite series is convergent. To perform the…

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Q: 2. Use first principles to find the derivative of each. a) f(x) = √2x-1 b) y = ///

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x the derivative is…

Q: O 35.50 sq. units

A: We know that the area of the triangles formula by Heron's formula sqrt(s(s-a)(s-b)(s-c))

Q: A function fhas a slant asymptote y = mx + b (m‡0) if lim [f(x) - mx + b] = 0 and/or lim [x)-mx + b]…

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Q: Consider the following vector function. r(t) = (4 sin(t), t, 4 cos(t)) (a) Find the unit tangent and…

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Q: Divide the complex numbers below and leave the result in trigonometric 7(cos 150° +i sin 150°) 9(cos…

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Q: Use Descartes's rule of signs to obtain information regarding the roots of the equation. (Select all…

A: By using Descates's rule of signs to obtain information regarding the  roots of the equation.…

Q: e following is not a D.E.? -(z)=0 of the D.E. xdy + ydx = 0 is B. x² + y² = C hose solution is y =…

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Q: Evaluate. Use reduced fractions instead of decimals in your answer. 8x e +3 ¡(² 4x e dx = + C

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Q: Find the derivative of f(x) = cos*(x) + cos(x) with no in final answer negative exponents

A: We know that the derivative of sinx= cosx and cosx=-sinx

Q: Find the magnitude of the vector. Give the answer in simplest radical form for magnitude. z = 12i +…

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Q: A waste management company is designing a rectangular construction dumpster that will be twice as…

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Q: дz Use implicit differentiation to find and дх дz дх дz ду || || x2 - y2 + z² - 8z 8 дz ду

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Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 26 cm…

A: Volume of the cylinder = πr2h where r is the radius and h is the height of the cylinder.

Q: You know that: ■ ■ ₁9(t) dt = 15 g(7) = g(9) = 5 Evaluate: +9 юст g'(x) √√25-(g(x))² Upload your…

A: Given:  ∫79gt dt=15g7=-52g9=5 To Find: To evaluate the integral ∫79g'x25-gx2 dx.

Q: lim Δx→0 3 1 x + Δx Δε 1 της X

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Q: Find the most general antiderivative of the function. antiderivative.) F(x) = f(x): = 2x4 + 6x³ +³ -…

A: To find the most general anti-derivative of the following function. fx=2x4+6x3-xx3, x&gt;0

Q: Find two positive numbers whose product is 16 and whose sum is a minimum. (Enter your answers as a…

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Q: Construct a limit evaluation problem with an answer of 1. (do not use L'Hospital's rule)

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Q: Find an equation of the line tangent to graph of F(x) x² + 1 x²_4 2 (3,2). write the equation in the…

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Q: Evaluate the definite integral. [° ( Z - ²3/) dx J₁ X

A: ∫16x6-9xdx

Q: Use Part I of the Fundamental Theorem to compute the integral exactly. 1₁ (x + 8x)dx=

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Q: 9. Find all the vertical and horizontal asymptotes for the following function and indi- cate the…

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Q: Find the area between y = 6 - ² and y = x² 2 -5 -4 N 8+ 7 3 2 -1 -2 -3 The area between the curves…

A: The equation of curves are given y=6-x2 and y=x22-4

Q: f(3)= 7 and f'(3) = -3 find d/dx sin^2 (f(x)) at x = 3

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Q: The average value of f(x) on the interval (a, b) is found by using the following equation. 1 fave =…

A: The given function is: f(x)=4x-x2 ;          0, 4

Q: Given f(x) = = 3x + 7 √9x² A) Find lim f(x) ° x48 5 B) Find lim f(x) o x118 "

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Q: A spherical balloon is being inflated Find the rate at which its volume V is changing with respect…

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Q: 99. Determine the concavity of the curve x = 2t + ln t, y = 2t - In t

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Q: A circular swimming pool has a diameter of 18 m, the sides are 3 m high, and the depth of the water…

A: Given: Diameter= 18 m Sides = 3 m  Dept = 3 m  Acceleration = 9.8 Density = 1000

Q: 15. Practice similar Help me with this Find the value of the integral Determine whether the series…

A: We have, Limit equation is given .

Q: 4) IF F(2) = 20 and F'(x) 24 for all valves OF X, how small can F(5) Possibly be? Use mean value…

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Q: A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not…

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