Determine whether z is a function of x and y Determine whether z is a function a?z + 3y? – xy = 10 x2z + 3y2 - xy = 10 Yes No

Q: (6) Suppose the closed curve C in R? starts at the point (-1, 1), goes along the parabola y = r? to ...

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Q: Question The position of a car traveling along a highway is given by the function s(t) = -13 + + 12t...

A: Given query is to find the interval where car is speeding up.

Q: Find relative extrema for f(x,y)=x^3 - 6xy + 8y^(3) - 2.

A: Question- Find relative extrema for  f(x,y)=x^3 - 6xy + 8y^(3) - 2. 

Q: For 1-3, determine if the statement is true or false. If a statement is true or false, explain why. ...

A: 1) The function defined by g(x)= -3(x+4)(2x-3)4 touches but does not cross the x-axis at (3/2,0). Th...

Q: The slope of the tangent line at any point (x, y) on a curve is 2yx. If the point (9, 3) is on the c...

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Q: Use the Laplace transform to solve the given initial-value problem. dy -y = 1, y(0) = 0 dt y(t) = %3...

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Q: An annular cylinder has an inside radius of r, and an outside radius of r2 (see figure). Its moment ...

A: Given problem:- An annular cylinder has an inside radius of r, and an outside radius of r₂ (see figu...

Q: Can you please solve Q7 Thank you

A: Please see the below picture for detailed solution.  I solved question number 7.

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: A ball is dropped from a height of 64 feet. Its height above the ground (in feet) t seconds later is...

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Q: 10 -dr may be written as Aln secB +tanB*+C where A, B, and C are constants not equal to zero. Evalua...

A: Please see the below picture for detailed solution. 

Q: evenue and cost functions R(q) = 90q – 0.3q and C(q) = 14q + 500, find the marginal profit rginal pr...

A: Topic:- function  Marginal profit is the difference between the marginal revenue and marginal cost a...

Q: f(x) – f(1) - If f(x) = log2(x) , then lim a-1 (A) in(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:49 PI

A: We can solve the question as below

Q: sinx +x te The integral dx may be written as mensinx +px + qe" +C. where m, n. p, q, r, and C are co...

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Q: Let f (x, y) = e^x (sin(y) +1) and use the point P (0, (pi/2)) a. Find the gradient of f at P. b. F...

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Q: (4) Let S be the surface parametrized by I= r cose y =r sin e 2= 30 where and Evaluate the integral ...

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Q: f. Find the area bounded by the curves y=x^2+6x and y=3x. Give exact answer.

A: We can find area of the given region as  Follows  

Q: If f(x) = tan (3æ), then f'(x) = (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec (3x) (C) 12 tan (3x) (D...

A: Solved below

Q: 1+2n 4) De termine whether the serics Converges 37 diverges. If it converges, find its Sum. A) 2 c) ...

A: Given:     ∑n=1∞ 1+2n3n

Q: 1) Let 7(t) = (t, 2 cos t, 2 sin t), -4 <t< 4. Find the length of the curve.

A: In

Q: dx Evaluate Зх — 12 + ∞ + 00 8 1,

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Q: What is the additive inverse of the complex number 3-7?

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: Given Cost and Revenue functions C(q)=q^3-8q^2+52q+5000 and R(q)=−3q^2+2500q​, what costs should t...

A: The given question has been solved in detail.

Q: TC If f(x) =, then f tan x II

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Q: What is the integrable form of sin-cos-sin0 d0? 2 2 A du B cosu du 2 -: / sinu du D du

A: Let's find. 

Q: The acceleration of an object (in m/s2) is given by the function a(t) = 9 sin(t). The initial veloci...

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Q: In Exercises 21-24, an implicitly defined function of x, y and z is given along with a point P that ...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect...

Q: The weekly revenue from the sale of x units of a service is given by R(x) = 192x - 6x thousand dolla...

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Q: The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder...

A: Given; dr/dt =1, dh/dt=-1,r=5meters,h=8meters.

Q: The general antiderivative of ( 3x2 - 4) +C. What is the value of the sum a +b+d+m +n+p? can be writ...

A: Given query is to find the value of the integral.

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

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Q: Previous question If C(t) = 79.5t e -0.13t ng of a drug in a person's system t hours after the drug ...

A: We will find the rate if change of drug administered. 

Q: d?y =6- 9x and which passes through the points (0, – 1) and (2, 3) - Find the equation of the curve ...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the cu...

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Q: TT(e-1) В. 2.

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Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* |+ C. Where A, B, and C ar...

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Q: 6. sin x cos°x dx

A: We need to evaluate integral.

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

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Q: nd the equation of the curve for which nd (2,3).

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Q: f C(t) = 55t e - 0.2t measures the concentration, in ng of a drug in a person's system t hours after...

A: Given query is to find the maximum concentration of the drug.

Q: 5. y = xArctanx - In V1+x

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Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must...

A: Given query is to find the number items to be sold to obtain the maximum profit.

Q: sinx sinx + The integral cosx - e dr may be written as „nsinx me +px+qe* where m, n, p, q. r, and C ...

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Q: b ""P+C. What is the value of the sum a m The general antiderivative of (3x2- 4)2x2 can be written a...

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Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Given y=lnex+e-x To find y'':

Q: If C(t) = 71.6t e -0.4t ng of a drug in a person's system t hours after the drug is administered, wh...

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Q: Write the standard form of the quadratic function that has the indicated vertex and whose graph pass...

A: We will use the concept of standard form of parabola as a quadratic function to solve this problem.

Q: 4y2 = 3. Maximize Q= xy, where x and y are positive numbers such that x+ Write the objective functio...

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