f(x,y,z)

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V8 - x, 2 s ...

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Q: Find an antiderivative of the function f(x)= 7x (4x + What is a possible antiderivative of the given...

A: We have to find an antiderivative of the function f(x) = 7x64x7+52.

Q: Find the minimum and maximum of A over a particular interval [0, 6]. A(x) = I S1) dt The graph of y ...

A: Given : Graph of function y = f(x) and A(x) = ∫0xf(t) dt   To find : Maximum and minimum of A ove...

Q: . Let C be the triangle with vertices (0,0), (1,0), and (1,1), traversed counter- clockwise. Evaluat...

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Q: Question 5 If f is defined on the interval (9, 12], then 11 -12 L"f)dx = "f (x)dx – fi'f ()dx Si f (...

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Q: x = sin t, y = 2 sin t + 1; 0 < t < T/2

A: Put value of sint = x in y=2sint +1

Q: | (t – cos(3t))e-'dt

A: Using definition of Laplace transform.

Q: The graph of the function f is given. y 16 12 y = f(x) 8 4 4 8 12 16 20 24 (a) Use six rectangles to...

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Q: Let vector field F =(x,y,z²) across the surface S which is an upper hemisphere x²+ y² + z² = 4 . 1) ...

A: Let vector field F =(x,y,z²) across the surface S which is an upper hemisphere x²+ y² + z² = 4 . 1) ...

Q: Find the direction angle of v for the following vector. v= 5i - 6j What is the direction angle of v?...

A: The direction of the vector can be determined by measuring the angle formed by the vector with an x-...

Q: Suppose that you have opened a saving account with an initial deposit of $10,000. The account offers...

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Q: Question 6 Researchers have observed that the daily energy requirements of female Collies who are at...

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Q: Perform an operation on the given system that eliminates the indicated variable. Write the new equiv...

A: To the given system to eliminate the x term from the second equation,  We, multiply 2 to the first e...

Q: Graph the marginal profit function for the profit function  P(x) = 17x − 0.2x2 − 20,  where  P(x)  i...

A: Given: The profit function is Px=17x-0.2x2-20 where P(x) is in hundreds of dollars and x is hundred ...

Q: A conical reservoir having an altitude of 10 ft and a base of radius 5 ft is being filled with water...

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Q: For f(x) = 2x + 1, 0<x< 3, estimate the area between the line and the x-axis with a Riemann sum usin...

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Q: Find the inverse of the matrix and verify that A-!A = AA1- 1. 4--10 A 3D 2. 8. A-1 Show My Work (Opt...

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Q: Find a power series representation for the function. (Give your power series representation centered...

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Q: An aquarium is to be constructed to hold 2160 in The base is to made of slate and the sides of glass...

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Q: b. Given the equation of the curve x =f(y) is x = Jy+1 and 2 fy)dy k = h suggest a value for h, wher...

A: Given - there are two Cup C and Cup D represent solids of revolution.             The cups have heig...

Q: 13. Use the method of Lagrange multipliers to find the exact coordinates of the point where the func...

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Q: Evaluate the integral. -2x 11 x² d.x + C NOTE: Enter the exact answer.

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Q: g(x)=−4ln(7x) Answer in the form: g′(x)=D/x. D= g′(0)=

A: use the definition of derivative of logarithm.

Q: V5x d (7?). tan dt dx

A: Use the concept of derivative of an integration then simplify. 

Q: The production rate r for an oil well in barrels/day is modeled by r(t)=130e^−0.2t where t is the n...

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding se...

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Q: 2. Which of the following statements are true for all vector fields, and which are true only for con...

A: according to our guidelines we can answer only three subparts and rest can be reposted.

Q: 53-56. Simple curves Tabulate and plot enough points to sketch a graph of the following equations. 4...

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Q: Question 2 If 4x3 if - 4 < x < 0 f (x) = 5x4 if 0 <x< 4, then/, f (x)dx = a) 8 O b) 31 c) 99 d) 768 ...

A: According to question, Given function, fx = 4x3-4≤x&lt;05x40≤x≤4

Q: Find ||v||. v= - 4i + 7j - 2k v = (Type an exact answer, using radicals as needed.)

A: topic - magnitude of vectors

Q: Evaluate the integral. + C 11 12 e – 2x dx

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Q: Question 1 d dx Jx & S" cos(t) dt = O a) cos (x2) · 2x b) cos (x²) · 2 O c) sin (x²) d) sin (t² ) e)...

A: topic - integration and derivatives

Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 6 Σ 7n2 + 8 n = 1 Id...

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Q: /rite the equation, in terms of sine, that has a minimum of -2, a maximum of 10, eriod of 67T, and a...

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Q: Find v-w|, if v = 4i – 4j and w = 21 - 6j. |v-w|| =O (Type an exact answer, using radicals as needed...

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the exac...

A: First I have make a substitution to make integral easy and then find the required integration.

Q: evaluate the Riemann sum with n = 6, taking the sample points to be midpoints. What does the Riemann...

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Q: QUestion: what do you notice? ® SS Uxy2 dA , R= [2,4] x C1,2]

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Q: commodity is given by C(x) =  1 45x3 + 9x2 + 9x + 21 dollars. We want to find the marginal cost at ...

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Q: xV9x + 4 dx, u = 9x + 4 (Use symbolic notation and fractions where needed. Use C for the arbitrary c...

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Q: Find the unit vector in the same direction as v. v = 31 + 4j + 5k The unit vector is u = (Di+ (Dj+ O...

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Q: If f is integrable on the interval [4, 20], then - 20 if (x)dx = L°f (x)dx + Sof (x)dx a) True b) Fa...

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Q: Question 7 The accumulation function, F(x), associated withf (t) = 4t³, – 2 <t< 2 is a) 3.75 b) 15 О...

A: Amswer : Given F(t) = 4t3   , therefore 

Q: Find the area bounded by the following curves. y= 25 - x, y =0, x= - 1, x= 4 The area is (Simplify y...

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Q: y x-3' y = 0, x = 4, аnd x = 3 + e

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Q: Question 7 For a certain drug, the rate of reaction in appropriate units is given by R' (t) = + + e'...

A: see below the answer

Q: The rate of change of current i in mA) in a circuit with a variable inductance is given by the equat...

A: Given:- The rate of change of current i (in mA) in a circuit with a variable inductance is given by ...

Q: B. Find a formula involving integrals for a particular solution of the differential equation y" – y"...

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Q: Rewrite the following expression: 43 O A X 4 X5 D

A: Rules of exponents state that (am)n=amn further (am)pq=am(pq)=ampq and  am=a1m