-JIL e √x² + y² dv, where E is the region that lies inside the cylinder x² + y² = 4 and between the planes z = -5 and 2-

Q: Given the following characteristics, select the function family that is described. Shape: single…

A: We need to select the curve which describe above charecteristics÷ Linear Linear graph has single…

Q: Is the answer correct?

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Q: Which of the following integrals gives the arc length of the polar curve r = cos 0 sin 0 for 0 ≤ 0…

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Q: What is r = -12 2 cos 0-7 sin e 2y - 7x = -12 in Cartesian form? x² + y² = -12 2x-7y

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Q: In evaluating 5 3 Add your answer dx is same as evaluating lim (In(f(x))). Determine the value of…

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Q: If F(0) = 2 and F(5) = 5, then F'(x) dx =? 05 3 O

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Q: 1. Write the explicit formula for the sequence. Then find the fifth term in the sequence. a₁ = 120,…

A: Considering the sequence to be geometric

Q: +4y= 16t (Laplace)

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Q: 2x* dx

A: Here is the solution

Q: Find the value of x If f'(3) = 52? X 1 2 4 f(x) -2 8 x

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Q: 13-f(t)=t-cost;

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Q: Use Lagrange multipliers to find a relative minimum function value of f if f(x,y,z)= x² + y²+ z²…

A: Here, the given function is: f(x,y,z)=x2+y2+z2 with the two constraints…

Q: 10. Given the curve C defined by the vector-valued function r(t) = a) find an equation of the line…

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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: If $200 f(x) dx = A and 200 f(x) dx = B, then 130 f(x) dx =? 50 130 A+B B-A 0 O A-B

A: Given: ∫50200f(x)dx=A and ∫130200f(x)dx=B Now, we know: ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx Using above…

Q: (2) secxtanxdx e definite integral by substitution: -21 1- (2) dx (3) [x√x-2dx

A: We have to find the value of the given definite integral according to the given information

Q: R is the region bounded by the functions f(x) = 1 - 3 cos (x) and g(x) = 4 sin (x). Find the area of…

A: Ans : A=12 unit2

Q: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter? x² + y² 16x…

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Q: Find 2 numbers whose sum is 23 and whose product is a maximum.

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Q: Find the slope, if it exists. x = -6 Select the correct choice below and fill in any answer boxes…

A: Given x=-6 The graph is

Q: Use Lagrange multipliers to find the critical points and the relative extrema. f(x,y,z) = x² + y² +…

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Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

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Q: (x²-3x+1) dx

A: Given that ∫23x2-3x+1dxSolution :∫23x2-3x+1dxx33-3x22+x23333-3322+3-233-3222+2

Q: Question 13 :  A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from…

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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: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

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

Q: Evaluate (²6² 0 Oa. 16 946 O b. 16 936 O c. 8 945 O d. None of the choices. O e. 16 945 1 1-y - xy…

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Q: y=1/x²₁ y = 8x₁ y=x/8

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Q: What is an equation for the cosine graph shown below? +10 -9 8 -135 -90 Oy 8 cos(0-135") +4 Oy 4…

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Q: 3) x² + y² + 16x+10y+80= 0

A: Given

Q: Convert each equation from rectangular to polar form. 5) (x-1)² + (y + 1)² = 2 6) x = y²

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: y= 3 Arcsec 3x

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Q: y = e ²₁ y = 1, x = 2; about y = 2

A: the solve volume

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

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

Q: A box with a square base and open top must have a volume of 171500 cm³. We wish to find the…

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Q: Let f(x)=6x²-5 to find the following value. f(t+1) f(t+1) = 0

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Q: Evaluate the double integral: 2 √² √ (3x² +9y²) dxdy A 40 B 30 C 60 D 80

A: Double Integration by iteration:

Q: 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 6-f(t)=cos't-

A: Answer highlighted 3 questions(2,4,6)

Q: -21 1 (1 + 3x)2 dx

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Q: f(x) = 5x² - 8x + 15 3x² + 6x 12

A: here first we have  to find domain of function  here domain is which value we can put in function so…

Q: Find the least and greatest distances from the origin to a point on the ellipse x²+4y²=16.

A: Topic:- geometry

Q: Question 19 : The area of a healing wound is given by A=πr2. The radius is decreasing at the rate of…

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Q: Question R is the region bounded by the functions f(x) = 2e - 2 and g(x)=x²-5. Find the area of the…

A: We have to find out area

Q: Question Evaluate the indefinite integral given below. Provide your answer below: -5x²sec²(3x³) tan³…

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Q: 3. Use appropriate differentiation techniques to determine the first derivatives of the following…

A: see below the answer and calculation

Q: A 60m climbing rope was used in a tall building. How much work is performed in pulling the rope up…

A: Force function need to be constructed and then work done is calculated.

Q: y= In x

A: Given function is y=x/ln(x)

Q: 2) x² + y² - 16x + 18y +96= 0

A: Here we havw to convert standard form,  2) x2+y2-16x+18y+96=0

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]

A: