No calculator is allowed on this question. The volume of a cylinder with a radius of 5 in is increasing at a rate of 36

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A: Take the normal vectors of the planes x-y+3z-1=0 and 3x+y-z-2=0 as N1⇀ and N2⇀ respectively. N1⇀=i-j...

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Q: If m = a + b and n = a2 + b2 find (∂b/∂m)n and (∂m/∂b)a.

A: Partial differentiation: m=a+b   => b=m-a n=a2+b2    

Q: A lamina with density function given by ?(x,y) = sin(x2+y2) defined on the half-disk x= square root ...

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Q: Evaluate: x(x+3) dx 2 .) | 3cos x +- -d» 1+ x*

A: For both problems I found integration

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Q: First simplify each of the following numbers to the r + iy form or to the reº form. Then plot the nu...

A: The given expression is 3+i2+i. Simplify the expression as follows: 3+i2+i=3+i2+i×2-i2-i=3+i2-i22-i2...

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Q: Find the average value of f(x, y) over the region R. f(x, y) = ex + y R: triangle with vertices (0, ...

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Q: ONLY FILL IN THE NUMERICAL VALUE OF THE ANSWER. How many posible combinations of 7 elements van be f...

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Q: The derivative of g(x) = (1/2)* is: positive for all x O negative for all x negative for x >0 and po...

A: Given function is gx=12x  ....1

Q: 3. For the SERIES determine whether it converges or diverges. If it converges, find n=0 the sum.

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Q: y 3. A rectangle is inscribed between the graph of y = 4-x and the x-axis as shown. [ no calculator ...

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Q: Determine the following limits from the graph of f given to the right: a.) x→ -1* lim f(x) p.) lim f...

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Q: Differentiate. a) y=log2(3x) b) f(x)= -7 log(x2) c) g(x)= x6log(-4x) d) h(x)= log8(2x4-3x)

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts fo...

Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec. ...

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Q: 1/2 Find a limit equal to cos(2x) dx.

A: We have to find the limit integration: ∫0π2 cos2x dx We know formula, ∫cos x=sin x+C∫ cos ax dx=sin ...

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Q: A weight on a spring is bobbing up and down. Its height above the ground at time t is h(t) = 5 + cos...

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Q: Find a limit equal to the area shown. y = J 1 2 3 5

A: Here, fx=x, a=2 & b=6. Now, ∆x=b-an=6-2n=4n

Q: Combine radicals, if possible. Simplify your answer as much as possible. 7/12t3 + 3t/128t – 2t/48t =...

A: Given 712t3+3t128t-2t48t

Q: Apply integration by parts to find the indefinite integral. e^2t cos(3t)dt

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Q: QUESTION 28 Solve x+2y+6z 5 x-y+2z=-3 x-4y-2z 1 OA (x, y, z) (5, 8, 8) OB (x, y, z)- (1, -1, -2) OCI...

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Q: Let M(T, y) = sin 2x + 2re +2 %3D and N(x, y) = 2'e + 3y. %3D Select all the statements below that a...

A: you can clearly understand if you follow the below solution

Q: The life X (in hours) of a battery in constant use is a random variablewith exponential density. Wha...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: if x#0 1. Let f(x) = if x= 0 Which of the following statements is/are true about the function f(x)? ...

A: The correct option is (D). A function f(x)  is continuous at x=c when the function's left hand limit...

Q: Describe the long run behavior of f(n) = - 3(3)" + 2 As n + - 00, f(n) - v ? As n + 00, f(n) → ( -00

A: Given: f(n) = -3(3)n +2 To find: Long run behavior  As n →-∞  and  As n→∞

Q: Find local maxima and minima and saddle points of the function f(x,y) = 3xy2+x3-3x2-3y2+2.   Classif...

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Q: QUESTION 4 Solve the system of equations by using Gauss-Jordan Elimination: 4x - 8y = 12 3x- 6y = 9 ...

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Q: The total cost of producing x shirts is: C(x) = 6000 + 30x, in dollars. Find the rate at which this ...

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Q: QUESTION 19 The expansion of -2ys is given as: (x-2y)=x+10xty+40xy+80x3y+80xy +32y O True O False

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Q: Differentiate  4xe2x-9x

A: Consider the following equation: y=4xe2x-9x Differentiate above equation with respect to x: dydx=ddx...

Q: Suppose g is a function which has continuous derivatives, and that g(2) = -2, g (2) = -4, g'(2) = 2,...

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Q: What is the answer

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Q: The function f has a continuous second derivative, and it satisfies f(-8) = 5,f'(-8) = 0 and f"(-8) ...

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