Differentiate f(y) = 9-8y+5 f'(y) = %3D

Q: (23×e¬*)dx

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Q: dw Use an appropriate form of the chain rule to find dt w = In(162? – 4y + 3z³); 1 = ti, y = tỉ, Ent...

A: Topic- differentiation

Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated list...

A: x = -1, 6, -5

Q: 2. Find the equation of the tangent plane to f(x,y) = sin(x² +y) when x = 0, y = T. 3 and r - cost

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 20xe...

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Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.) ...

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Q: a) Find the general solution of the following linear differential equation: y' +?y = 2 b) Find the p...

A: Topic:- Differential equation 

Q: Find the orthogonal trajectories of the family of curves ey + 2x2 = k.

A: Given,  ey+2x2=k

Q: Use the definition of the derivative to find r'(t). r(t) = (6t + 4)i + (9 – 1²)j r'(t) =

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Q: Find the derivative of the function f(x,y)=x2+xy+y2   at the point (-5,-4)in the direction in which ...

A: Find the derivative of the function f(x,y)=x2+xy+y2   at the point (-5,-4)in the direction in which ...

Q: Find the equation of the tangent line to sin-(x - 2y) = 2xy – 1 %3D (1). at the point

A: Given,            The equation of the line is sin-1x-2y=2xy-1 and the point is 1,12.We know that,   ...

Q: The supply function for a product is given by p = q2 + 320, and the demand is given by p + q = 430. ...

A: We have to find

Q: The equation given is in the picture. We are told to evaluate the improper integral to see if it is ...

A: Key points : if the value of the integral is exists and finite then we say integral is convergence

Q: Use the limit definition to find the derivative of the function. f(x) = x? – x +1 f(x + h) – f(æ) Fi...

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Q: Use limit laws and continuity properties to evaluate the limit. x+6y lim (x.y) (0,0) sin y+2 i %3D

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Q: 5. Let A(r) = In(t) dt. Using the Fundamental Theorem of Calculus Part 2, find A'(x). Show all %3D o...

A: This question is related to calculus.solve in step 2.

Q: Find the area enclosed by the curve: r = 4 +2 cos 0

A: To find the area enclosed by the curve r=4+2cos θ. The formula enclosed by the curve is given by: A=...

Q: The parametric equations and parameter intervals for the motion of a particle in the xy-plane are gi...

A: The given parametric equation :x=3cos2t, y=3sin2t, 0≤t≤π2Now,x2+y2=3cos2t2+3sin2t2         =9cos22t+...

Q: The radius of a circle is increasing at the rate of 0.7 cm/s. what is the rate of

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Q: In a certain city, the average 20- to 29-year old man is 69.4 inches tall, with a standard deviation...

A: Given: For Man:      Avg = 69.4      SD = 3.2 For Women:       Avg = 64.3        SD = 3.9 Who is rel...

Q: How do I do number 8

A: Given, Evaluate limx→∞(x-x)

Q: 5.8 Compute the derivatives df/dæ of the following functions. Describe your steps in detail. a. Use ...

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Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it...

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Q: Use a double integral to determine the volume of the solid that is bounded by z = 8-x² - y and z= 3x...

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=x2-6x+y2-16y-6 a...

A: Solve the following

Q: Find the volume of the solid V in the first octant bounded by x + y + z = 4 and x + y + 5z = 4. (Use...

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Q: Scosh(2tn(x)dx

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Q: If g(x) = sin(x) then (x),6 g'(3) =

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Q: IX. Write a quartic polynomial function with real coefficients in expanded form that has the given z...

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Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0 ...

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then g...

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Q: When the mortgage is completely paid off for mark and Lynne’s house, it will be 5 times as it is now...

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Q: find the least value of a such that the function f given f(x)=x²+ax+1 is strictly increasing on (1,2...

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Q: There are 40 students in a summer cohort. Of those students, 30 take accounting and 20 take Spanish....

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Q: If Va + Vy = 6 and y(25) = 1, find y' (25) by implicit differentiation. %3D %3D

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Q: Use the Law of Sines to solve the triangle. Round your answers to two decimal places. B = 13° 30', ...

A: Given:- B = 13° 30', a = 10, b = 14 To find:- Solve given triangle by using sine law

Q: Find the limit of the function f(x, y) = 3e"-10y (x, y) → (0,0). as lim (x,y)→(0,0) 3e*-10y %3D

A: We will solve limit using simple method

Q: Determine all critical points for the following function. f(x) = 2x? 500 + (Use a comma to separate ...

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Q: Suppose X and Y are random variables with joint density function. f(x, y) =  0.1e−(0.5x + 0.2y)    ...

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Q: Suppose that sin(θ) = 24, where 0 < θ < π/2. Sketch a possible right triangle containing θ, and use...

A: We will find the answers as following.

Q: If tan(θ)=7   then tan(θ+3π)= and tan(θ−7π)=

A: Given, tan(θ)=7 

Q: dz Use an appropriate form of the chain rule to find dt z = 7 cos x – sin xy; 1 y = 7t Enter the ans...

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Q: dz Use an appropriate form of the chain rule to find dt z = 6x°yl0; x = t³, y = t³ 10. Enter the ans...

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Q: Atmospheric pressure P in pounds per square inch is represented by the formula P=14.7e−0.21x, where ...

A: Given data is: P=14.7 e-0.21x        .........(1) P is atmospheric pressure in pounds per square inc...

Q: 34. f(x) = er+2)

A: Solving using chain rule of differentiation.

Q: At x = 3, the function given by f(x)={x2 , x<3 and 6x−9, x≧3 is? a) undefined b) continuous but no...

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

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Q: Formulate but do not solve the problem. The annual returns on Sid Carrington's three investments ...

A: Let x, y, and z denote the amount, in dollars, in savings, mutual funds, and bonds, respectively. 4%...

Q: x – x² 3. y = x² – 3x +2 4. Find the maximum area of an isosceles tria

A: We have to sketch

Q: y = (4 + 6 · x)" dy Use Logarithmic Differentiation to find dx dy dx

A: y=4+6·xx Use Logarithmic Differentiation to find dydx. dydx=