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Q: nd the derivative of f(x,y)=x^2+y^2 in the direction of the unit tangent vector of the curve r(t)=...

A: The derivative of f(x,y) in the direction of unit tangent vector r(t) is given by         D = ∇f(r(t...

Q: In each of the following, find the partial derivatives. 1 (d) f(r, y) : 1

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Q: The number of cars produced when dollars is spent on labor and y dollars is spent.on.capital investe...

A: Find your answer below 

Q: xy In(r+1) rª + 3y? if (x, y) # ( g(x, y) = if (r, y) = ( %3D

A: In this question we will use basic concepts of calculus i.e concepts of limits in two variables. We ...

Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6500. ...

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Q: y = V(4x + 3)³ %3D

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Q: Show that the limit does not exist: (y² + x – 1)² - lim (x,y)→(1,0) (x – 1)2 + y4

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Q: y (t² + 7t + 5) (5t² + 3), tin fir dy

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Q: (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and ind...

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Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

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Q: How do I get the P.I xp from the C.F xc on nonhomogeneous 2nd order derivtive equation in this probl...

A: Given :dx/dt-2y=-sin(t)dy/dt+2x=5cos(t)  

Q: (a) f(x) = x² + 7 – x, a = 4 -

A: If a function is continues at a number a Then, 1.Limit must exist  2.f(a) has to be defined at a 3. ...

Q: solve

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Q: Given the function f(z) = 3z2 f(z +h)-f(z) Find the difference quotient h f(z + h)- f(x) Find f'(z) ...

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Q: AP37. The production function f(x) gives the number of units of an item that a manufacturing company...

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Q: Find the exact value of the sine of an angle 0 in standard position if the point (13,-84) is on its ...

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Q: Evaluate the integral: 3 49x dx - rV 3-49x2 2 7V3 3 sin 14 X + C - 3

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Q: Evaluate the following. Round angles to the nearest tenth and all other values to the nearest hundre...

A: Given query is to eveluate the expression.

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug...

A: Given query is to find rate of change after 8 hours.

Q: Find the values of a and b that make the following piecewise defined function both continuous and di...

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the l...

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Q: _1. The derivative of a sum is the sum of the derivatives. The derivative of a quotient is the quoti...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: 4 - 3 lim a. 1-0 5 - 9 b. lim In(x)

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Q: 12. A toy car with a mass of 3 kilograms is moving along a path with its motion described by the fol...

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Q: Let T: R3 → R3 be defined by T((a, b,c)) = (a, a – b, b + c). Determine whether T is a linear transf...

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Q: 14. A projectile is launched from ground level with an initial speed of 128 feet per second and a la...

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Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/...

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Q: 4. (y? cos x - 3x²y - 2x) dx + (2y sin x - x3 + Iny) dy = 0, when x = 0, y = e

A: "Since you have asked multiple question, we will solve the first question for you.If you have any sp...

Q: Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduc...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: Given: I=∫-∞122x-32dx   We know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx

Q: Consider the functions below. f(z) = V-1 %3D g(z) = r+1 Find each of the following, if possible. (If...

A: Given query is to find indicated function.

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P...

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Q: 4. Suppose that f(4)= 2, g(4)=5, f'(4)=6, and g'(4)=-3. Find derivative h'(4) in (a) - (d). (a) h(x)...

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Q: 9. (b + 4)e db

A: This question is based on Indefinite integration.

Q: x+2 3. y = ( X-2 at x = 1

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: (DE- 6D + 25)у %3D0 y =

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Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

A: This question is related to limits,  we will solve it using given information 

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x'-5x)* 1. y= d'y/dx'

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = ...

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Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 6 if g(6) = −2 and g'(6) = 5. ...

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Q: Consider the graph below. y fx) 1 2 Use the graph of the function to find the domain of f. (Enter yo...

A: We have to find domain , range  and f(-2) of given graph.

Q: Substance A decomposes at a rate proportional to the amount of A present. a) Write an equation that ...

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Q: Evaluate the indicated function for f(x) = x - 1 and g(x) = x – 2 algebraically. If possible, use a ...

A: Given query is to find the value of indicated function 

Q: Determine whether the alternating series converges. 5ln k k k=3 O The series diverges. O The series ...

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Q: y + Jx² +y2 dx = xdy when x-3', y=l 4. %3D

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Q: 1 Σ 4 K(k + 2) k=1 eTextbook and Media

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Q: If f(x) = 4 sin '(2), f'(x) =

A: The given function is f(x)=4sin-1x5  .................................... (1)   

Q: dy Solve the differential equation 1-y? %3D dx

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