f(x,y) %3D —4у3 — 4ху — 12у — 3х? - 5х- 21 then fyy equals O -6 -12y? - 4x – 12 — 4y — 6х — 5 - -24y Does Not Exist O 1 O -4

Q: For the function f(x) = 2x – 2x, evaluate and simplify. %3D f(x + h) - f(x) %3D

A:

Q: Graph 1 Graph 2 Graph 3 24y 6. 4+ 4. + -8-6-4 4 6 -8 -6 4 4 6 2. -4+ -4- -6. -8 -8- OYes OYes ONo…

A: Given that -

Q: 2X

A:

Q: Evaluate: 5° (-0.45)'(-1)10+i 212- 3D1

A: The given expression is: ∑i=1∞-0.45i-110+i2i2-i We can rewrite this as: =∑i=1∞-0.45i-110+i2i2i…

Q: Are the following convergent or divergent? Show your work and state the reason 100 11) Ση n=0

A: The summation of n, n from 0 to 100.

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Given problem:- Use the cylindrical shell method to calculate the exact volume of the solid formed…

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A:

Q: Ise implicit differentiation to find the specified derivative at the given point. ind dy at the…

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

Q: Solve the initial value problem: y" - 12y' + 36y = 0 ; y(0) = 2/3 , y'(0) = 0

A: We want to find solution of the given initial value problem.

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Given:      fx=7sinx2 interval 0,π4 Volume of solid using cylindrical shell method is…

Q: Convert the integral from rectangular coordinates to both cylindrical and spherical coordinates, and…

A: We have to convert the integral from rectangular coordinates to both cylindrical and spherical…

Q: lim, 1 f(x) = %3D

A: limx→a f(x) =L if and only if limx→a- f(x) = L =limx→a+ f(x) .

Q: Use variation of parameters to find the general solution of the equation  y" - 2y' + y = (e^(x))/x…

A: Use variation of parameter.

Q: 10 A particle is moved along the x-axis by a force that measures pounds at a point x feet from the…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) =

A: Given problem:- If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)).   f(g(x)) =   g(f(x)) =

Q: Find the volume of the solid that results when the region enclosed by the curves x = 1 – y² and æ =…

A: Let's find.

Q: F0 (-1)" Ln=1 By the 5n+1 series test:

A:

Q: 1/4+1/5-1/6+1/7-1/8

A: Given, -1/4+1/5-1/6+1/7-1/8

Q: The first term of the expansion of (j – 3n)a is –-3nª. True or False?

A: The \displaystyle \left(r+1\right)\text{th}(r+1)th term of the binomial expansion of \displaystyle…

Q: The number c that satisfies the Mean Value Theorem for Integral of the function f(x) = x² – 5x + 6…

A: Given,            fx=x2-5x+6 on the interval -2,3.To find : Find the value of c that satisfies the…

Q: aluate the triple integral zdV, where E is bounded by the cylinder y? + z? = 9 and the planes a = 0,…

A:

Q: d'y If 4x2 + y = 40 then evaluate when = 3 and y = 2. (Answer accurate to two decimal places.)

A: Topic = Derivative

Q: Use the definition of the Laplace transform to compute L[f(t)]. For each, state the domain of…

A: Solve the following

Q: Find the solution of the initial value problem y" + y = 8(t - 2), y (0) = 1, y' (0) = 2.

A:

Q: Find the area enclosed by the curves f(x)=38−x^2 and g(x)=x^2.

A: Solving

Q: 4. Ln=1 By the series test: 3n-2

A:

Q: x3 + 3x2 10. Then use the 1. Use a graphing utility to graph f(x) graph to determine the open…

A: We have given function y=x3+3x2-9x-10

Q: Find the area, A, between the curves y = In x and y = In 3x from x= 1 to x-2. The area is A = (Type…

A: We have to find the area between the given curves.

Q: Differentiate the function f(x) = 5x^4 - 10x^1/4  f'(x)

A: We can differentiate the function as below.

Q: Kareem deposits $30,000 into an account that pays simple interest at a rate of 3% per year. Linda…

A:

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 6

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Q: 1 dx ((Va)² – 16 2 x² .

A:

Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…

A: The given problem is solved below in detail.

Q: Give some examples of geometric problems that can be solved using the parametric equations of a line…

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Q: Solve the following differential equations of (2x* +y)dx+(x'y-x)dy = 0

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Q: A circle is placed in a square with a side length of 8 mm, as shown below. Find the area of the…

A: Use the area of circle and area of square for finding the area of shaded region.

Q: 8, evaluate and simplify the expressions below. See special Given the function f(x) = 6x -…

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is 1.…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the tangent line approximation for V5 + x near a 4.

A: Find your answer below

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A:

Q: Evaluate the double integral // fO f(r, 0) dA. T/6 (4 r2 sin(0) cos(0) dr de Sketch the region R.

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Q: Find y' (-1) if y = In (a² + 5)° (2 – 4æ)®

A: I have stated the used formulas in the solution

Q: Find the area of the shaded region. r = V cos 20 r = 2 cos 0 NOTE: Enter the exact answer. A =…

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Q: The figure shows the level curves for a function f over a square region R. Approximate the integral…

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Q: dy Find dx for y=xJ csct dt. | dt +|(Type expressions using t and x as the variables.)

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = Va2 – x2 R…

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Q: b) dx xV5x2 – 4 c) dx 2 + (x - 1)2 d) . /2 2 cosx dx 1+ (sin x)²

A:

Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° 2 45° I 4…

A: The point is -2,-3π4