Find the domain of the following function. 9 f(x)=- 2 36-x The domain is (Type your answer in interval notation.)

Q: ~ f ² f (x) dx = -5 and Given than (A) None of the given choices B) √ f (x) dx = 8 © [²] f (x) dx +…

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Q: Which of the quantities is nearest to the value of * exp 0.003 1.001 cos(0.002) ? O 1 O 1.001 O…

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Q: What is the area of the region enclosed by the graph of r² = 3 + cos 0? √ √3+ cos e de √(3 + cos 0)…

A: We have to choose correct option.

Q: H.W (3) 1-f(t)=te"; 2-f(t)=3+t² + cos2t. 4-f(t)=e¹.t³. 3-f(t)=e" sin 3t; 5-f(t) = (2t+3e²¹ +4sin…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [₁ f(x) dx + ["40 + [~…

A: Here in this question, three curves are given and we need to find out the limits of integration, and…

Q: II. Let F(x)= ecosh z √x+1 1. Find F(0). 2. Find F'(x). sin(1-t) dt.

A: Let Fx=∫x+1cosh x sin1-t dt.1 To find F0.2 To find F'x.

Q: Q4) Find the maximum eigen value for the system 4 = x¹ (0) = (1 1) 4 with initial vector

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Q: +4y= 16t (Laplace)

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Q: 2 - Find the average value of the function f(x)=x -21 on [0,6]. The average value of the function…

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Q: x² 8. (x) tan 3x+cot 3x 9.f(x) = 2 sin 4x cos 4x =

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Q: In a laboratory experiment, the population P of a microorganism is found to satisfy the differential…

A: The given problem is solved below in detail.

Q: Solutikn is not clear, can it be handwritten please. Thank you.

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Q: Use of an Auxiliary Variable Solve the equation. The sum of two positive numbers is 2. Find the…

A: see below the calculation

Q: The interval of convergence of the series Σ(√n+1-√√n) (x+2)" is given by A=0 A-3≤x<-1. OB-3<x≤-1.…

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Q: HA-[-2]. If = O A-¹ O A-¹ = O A-¹ = O A-¹, 24 = find A-¹. 3 = 6 -4] [4-2] 6 -5]

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Q: Use the equation to name each of the characteristics listed. Make sure to use proper notation and…

A: Let's find given all characteristics of function.

Q: Find the area under the graph off over the interval [1,4]. x+7, for x ≤2 f(x) = 11-x, for x>2 The…

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Q: Let g(x)=6x-4. Find g (Type an integer or a fraction.)

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Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 2. 4.…

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Q: Show that if the function f(x, y) = ecos-e-cosx, satisfies Laplace Equation.

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Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

A: Given

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x - 4x²…

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Q: Solve the following differential equations: 1.) (x-2y+4)dx + (2x-y + 2)dy = 0

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Q: Let y = √x . Then dx is:

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Q: S dx √4x² - 49 x > 72

A: In order to integrate easily certain assumptions need to be made by using some variables.

Q: Use the equation to name each of the characteristics listed. Make sure to use proper notation and…

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Q: Find the derivative 4cos4t sin4t 2cot4t -1/2 cot4t Other: of the parametrically defined curve : x(t)…

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Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 2. cap…

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Q: Sketch the region enclosed by the following curve and find its area. x=y¹, y = √2-x, y=0

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Q: 8. y = log x-1 x+1

A: Let's find second derivative of given function.

Q: (b)show that: I(cosh at cos at)=; s*+40*

A: This question can be solved using the concept of Laplace transform.

Q: -1/2 Find the gradient of f(x,y,z) = (x² + y² +2²) −1/² + In (xyz) at the point (1,2,2). Vfl…

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Q: 3) x² + y² + 16x+10y+80= 0

A: Given

Q: II. INDETERMINATE FORMS COS X X 5. lim x →∞0

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

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Q: Hnew ³ Let w=f(u) + 9 (v); where u = x+iy and V=X-iy, show that w satisfies the Laplace eap. Wxx +…

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Q: The domain and the range of z=cos-¹(x²-y-3). are represented respectively by O A. ¨D={(x,y) = RxR :…

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Q: Compute the partial derivative of the function * f(x, y, z)= el-roos(y) +2e=1/(1+²)

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Q: 2 1) x² + y² + 18x - 26y +246=0

A: Topic = Equations Only question 1 is answered , As per asked by student.

Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx…

A: To evaluate: ∫dxx3+x Let I = ∫dxx3+x Assuming x=u6⇒dx = 6u5du

Q: What is the value of k such that the lines 3x + 6ky=7 and 9kx+8y=15 wil have the same positive…

A: Topic = Geometry Correct option = 4 k=-23

Q: Which of the formulas below will give the area of the region enclosed by the polar equation r = 4…

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Q: 5. The region is bounded by y = x³, y = 2x + 4 and y = -1. Then, Area region = [*f(x) dx + [[g(x)…

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Q: A company selling widgets has found that the number of items sold & depends upon the price p at…

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Q: create 2 sample word problems of chain rule of differentiation  with solutions

A: Solution:

Q: 3) Evaluate for ln(x + 1)dx x

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Q: The graph of r = -2+3 cos is symmetric with respect to the O x-axis and origin origin only

A: given r=-2+3cos∅   it is the equation of limacon.

Q: Torque, T, is defined as the rotating effect due to a force. Mathematically, T = r X F. Given F =…

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Q: Find the slope of the line if it is defined. Through (6,10) and (6,-3) Select the correct choice…

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