Verify that the function u = is a solution of the three-dimensional Laplace equation u xx + uyy + Uzz = 0.

Q: Given cost and price (demand) functions C(q) = 110g + 41,000 and p(g) = - 2g + 870, what is the maxi...

A: Basic application of derivative problem

Q: 6x Consider the rational function f(x) = 3 a. On your own, complete the following table of values. 6...

A:

Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four deci...

A: Consider the radioactive decay function, A(t)=A0e-kt  Where A(t) represents the amount of substance ...

Q: Use the Chain Rule to find dz/dt. z = tan-1(y/x), x= et, y = 9 – e-t dz dt

A: Given query is to find the derivative of the expression.

Q: The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airp...

A: Topic = Algebra

Q: c. Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's p...

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Q: Find the equation of the curve at every point of which the tangent line has a slope of 4.r. (a) (h) ...

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Q: Test for convergence or divergence, using one of the tests listed below. 1. n + 3 n + 4 n = 1 O conv...

A: Solve by limit comparison test 

Q: Find and sketch the domain of the function. f(x.y) = Vy - 4x - 8 Find the domain of the function. Ex...

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Q: Examine the punction por vela tive extrema f6.y)= x-xy -y? -3x -y and so dde points %3D

A: Relative extrema and saddle point

Q: O Find the equ.of Plane that contains p(o,3) and Parallel co the X-2 Plane and PerPendicular to the ...

A: We have to find equation of plane with given conditions. 

Q: c. Determine the average rate of change of the distance of the car from the stop sign with respect t...

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Q: A particle moves along the x-axis so that at timet >0 its position is given by æ(t) = t - 24t?. Dete...

A: Given: x(t)= t4-24t2

Q: The cost of a can of Coca-Cola in 1960 was $0.10. The function that models the cost of a Coca-Cola b...

A: The cost function is given by: C(t)=0.10e0.0576t Where, t represents the number of years since 1960.

Q: The system of equations has a solution set: X1 - Xz - 2x4 = -9.1 X2 + 2x3 + 3x4 = 10.1

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

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Q: S cos(3z)sin1º(3z) dz C 1 (cos (3z))10 + C 3. (sin(3z))10 + C D 1 (cos (3z))1 + C 33 (sin(3z))'l + C...

A: Topic = Integration

Q: 1 we, ON =? - м ду dx 3 (a) 3 (b) (c) 3y (d) —Зу - --

A: Topic = Derivative

Q: y(x y)dn-x (x³+y) dy =0

A: Let's find. 

Q: PLEASE HELP ME ANSWER WITH SOLUTION 2 1. A farmer plans to fence a rectangular pasture adjacent t...

A: 2. A rectangular page is to contain 50 square inches of print. The margins on each side are 1 inch.

Q: ( ग০) (১০ for the following func tion ? -WX-+5inZっメー +SinZっメー

A: w=x2+y2-z+sin zx+y=z(∂w∂y)x =ddy(x2+y2-(x+y)+sin(x+y))            =[0+2y-1+cos(x+y)(0+1)](∂w∂y)x =2y...

Q: g(x) = 2x2 1. g(x+h) 2. g (x + h) - g(x) 3. g(x+h) - g(x)/ h

A:

Q: 1-4sect + sin² t (Ans: d tant dt cost - 4 cost(cost – 4)

A: Topic = Derivative

Q: 16. John tries to find the equation of the tangent line to the graph y=5x+1 at x=2. His calculations...

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Q: Find the derivative of y = sin 2

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Q: Replace the polar equation r= with an equivalent Cartesian equation. Then identify the graph. sin 0-...

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Q: 6. Which of the following equations is an exact differential equation? (a) (x² +1)dx – xydy = 0 (b) ...

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Q: Question d'y if-2x + 7y = 10. Find %3D dx2 Provide your answer below: dy %3D dx2 Previous

A: topic - implicit differentiation

Q: 4. At high temperatures, nitrogen dioxide, NO2, decomposes into NO and O2. If y(t) is the concentrat...

A: Given: y(t) changes according to the law, dydt=-0.05y2 where, y is the concentration in moles per li...

Q: Find the mass of the surface lamina S of density p. S: = Va? – x² – y², p(x,y,z) = kz

A: Note: As per our company guideline we are supposed to answer the first question only. Kindly ask the...

Q: A polynomial f(x) and one or more of its zeros are given. fa) = 5x-73x+292x-150 7+i is a zero Part: ...

A: We have to find the zeros of f(x) if given a zero is 7+i

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: PLEASE HELP ME ANSWER WITH SOLUTIONS 5,6 1. A rectangular page is to contain 50 square inches of pr...

A:

Q: iv. f(0) = Preview v. lim f(x) = x→7 Preview vi. lim f(x) x→7+ Preview

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Q: -4 8 2 а) y -5 11 3 7 -4 -1 2 3 b) y 2 12 11 8. -3 2 -1 y 7 3 7 13 6 4- 4-

A: There can be duplicate y value but not x value in function

Q: What is the particular solution to the differential equation y -2x 3y2 – 2 with y 1 when dy x= 1?

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Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

A:

Q: 15. Vlad and Karl discuss about the continuity of the given function. Vlad asserts that the function...

A: A function f(x) is said to be continuous at x=a iff limx→a-f(x)=limx→a+f(x)=f(a) A polynomial functi...

Q: (x)=6x3 1. 3F(1) - 4F (-1) 2. F ( x+h)-F (x) 3. F(h)/h

A: Given f(x)=6x33f(1)=3*6*1=184f(-1)=4*(-6)=-243f(1)-4f(-1)=18+24                          =42

Q: Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let p(x) ...

A: Please see the below picture for detailed solution. 

Q: Find the derivative of f (x) = cot¬l 2

A:

Q: Given the the parametric curve Sx(t) = ¿e" – 12e* + 32t %3D 1 y(t) t5 – 6t + 10 dy (a) Find an expre...

A: We know that; The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: xt=12e2t-12et+32tyt=1t...

Q: ƏN 10. =? (a) y (b) —у (c) 5y² + y³ sin y (d) 5y² – y+ y³ sin y

A: Topic = Derivative

Q: bounded by + 22 %3D

A: z>0z=x2+y2z=1-x2-y2Intersection;x2+y2=1-x2-y2x2+y2=1-x2-y22x2+2y2=1x2+y2=12x2+y2=(12)2;  circle w...

Q: a. A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 104.5...

A: This is a problem related to the arc and angle of the circle. By using relationship of the arc, angl...

Q: Find all the second-order partial derivatives of the following function. h(x,y) = 2x e + 9y + 3 дудх...

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Q: Why are both the x-coordinate and the y-coordinate generally needed to find the slope of the tangent...

A: Given,           The x-coordinate anf y-coordinate generally needed to find the slope of the tangent...

Q: 2. Find the general solution of the given differential equation. dr + rsece = cos0 do

A: The given differential equation is; dr/d(theta) + r sec(theta)=cos(theta).

Q: 5. * S sin(1 – x) (2 – cos(1 – x))* dx A C (2-sin(1-x)5 +C (2-sin(1-x)5 +C+ D. (2-cos(1-x)5 +C (2–co...

A: topic - indefinite integral

Q: interval leugth Y =9

A: