O CO O O Graph the integrand and use areas to evaluate the integral. 9 S 1x1 dx - 3 OA. 36 B. 45 O c. 12 O D. 90

Q: Use series to evaluate lim X-0 ex-1 5x

A: limx→ 0ex-15x=15·limx→ 0ex-1xBy L'Hopital Rule,=15·limx→ 0ex1Plug in the value x=0=15·e01=15

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A: This question is based on integration by parts.

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A: We have to sketch the graph and state the transformations.

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A: we have to find tangent plane

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A: This question can be solved using the area of triangle in three dimensional geometry.

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A: Given fx=∫0636-x2+9 dx

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Q: Use a triple integral to find the volume of the given solid. boilisoqa oda buat amoldong guiwa (89)…

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Q: (x² + y²) dx - xy dy = 0.

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Q: Find the area under the graph of y = -x² AL 54 3-2 -11° 1 2 3 4 5 X 4x on the interval [-4, -2].

A: We will solve the required.

Q: 8. Evaluate the line integral fx'dx + xe 'dy where C is the closed path along the triangle in the…

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Q: 3. Find an equation of the tangent plane to the surface z = 2xy + 4y xy-2x at the point (1,1,-6)

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Q: Find the area between the curve of X = 5 4 3 2 1 1 2 3 O 2.749 O 3.296 4.159 4.957 4 5 33 and the…

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Q: π/2 0 sin³ cos Ode 0

A: This question is based on substitution method.

Q: For items 1 to 10, determine 1. y 3x³ + 2x - 5 (A) 9x² + 2 1 √x 1 2√x 2. y=-- (A) 3. y=e-sinz (A)…

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Q: Decide whether the relation defines a function. {(-8, 2), (-8, 8), (1, -9), (6, 3), (7,5)} Not a…

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Q: 5. Suppose that growth g as a function of time t can be modeled by 21 g (t) Determine the time t at…

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Q: biloa Hey For the following problems, find the specified area or vc 17. The area of region enclosed…

A: Topic:- application of integration

Q: Find the general solution of the following differential equation. (y+2)dx + (x-2)dy = 0 Send…

A: I am attaching image so that you understand each and every step.

Q: A region bounded by f(y) = y, y = 8, and x = 1 is shown below. Find the volume of the solid formed…

A: Given, f(y)=y3, y=8, x=1

Q: Find y" by implicit differentiation sin y + cos x = 1

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Q: Write a function in degree mode and a function in radian mode to model the grap h(t)= h(t)=

A: Given: the graph is given to you in the question we have to find the function in degree mode and…

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Q: (3) Theorem: The area between the curves y = f(x) and y g(x) and between x = a and y = b is A =…

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Q: 5. component of the acceleration. A particle moves with the position function r(t) =. Find the…

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Q: Find the derivative of the transcendental function. h(x) = - 14 sec x X h'(x) = -5x2-14 secx-tanx

A: We need to find the derivative of the given transcendental function.               hx=5x-14secx

Q: 3. Given the function f (x) = (x-100) (x+125) (x-70)² + 40 explain how the equation connects to the…

A: f(x) =(x-100)(x+125)(x-70)2+40

Q: Find the Fourier series for the periodic function: if - 1<x<0 f(x) = {2 if 0<x< 1 f(x + 2) = f(x)

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Q: If a reflection is performed on the graph of y y = 3+1 and the equation x-1, the reflection was…

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Q: The altitude of a triangle is increasing at a rate of 1.51.5 centimeters/minute while the area of…

A: The altitude of a triangle is increasing at a rate of 1.5 cm/min Area of the triangle is increasing…

Q: VA Find the equation of the curve that passes through the point (1, 0) and has a slope of O = y = y…

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Q: Evaluate ffysin(xy)dxdy น over the region bounded by xy = 1, xy = 4, y = 1, and y = 4 using x == , y…

A: We have to find the area using double integration.

Q: Question 1 Suppose I have $5000 to invest, and I am able to invest it at an 8% rate compounded…

A: Topic = Algebra

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Q: Given the DE. 3dy + ydx = (1-2x)y4, Rewrite the DE into Linear Form at v O dx-v = 2x+1 dx-v=2x-1…

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Q: Find the exact value by using a half-angle identity. sin 75° ① 专业 這次難 這次的

A: We will solve the required.

Q: rs are moving towards an intersection. One car is 160 meters north of the intersection an s the…

A: Please refer to the image below

Q: If the number of sales is inversely proportional to the price of a product, write the differential…

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