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Q: Consider a nonhomogeneous differential equation y" + 4y = -12x + 10e. (a) Verify that yp = -3x + 2e*…

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Q: 3. Find the area bounded on the right by x+y=2, and on the left by y=x and below by x-axis.

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Q: -1 df Find for f(x) = x+3 dx 2x+5 at X= 3 . 1 A 25 (в -25 1 81 81

A: topic - derivative of a Inverse function

Q: 19 |x* sin xdx

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Q: Find the equation of the tangent line to f(x) =3cscx+xsinx at X= 2 A y=x- 3 y=x+3+ 2 y=x+3 y=x+3-

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Q: Evaluate the following items below. Write your answer on a separate sheet of paper. 4 1. Find the…

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Q: Activity 1.3.2. Consider the function f whose formula is f(x) = 3- 2x. a. What familiar type of…

A: Given, f(x)= 3-2x It is a graph of a straight line at certain angle in the coordinate system.

Q: Find T3 centered at x = a. 1. f(x) = 1 a = –1 2+x

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Q: Solve the given item below and write the answer on a separate sheet of paper. Find the second…

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Q: Suppose that the graph below is the graph of f'(x), the derivative of f(x). Find the open intervals…

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Q: Consider the function f that is continuous on the interval [-8, 8] and for which the following is…

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Q: 1 b) For G(x) = 2 stationary and inflection points. Show the horizontal and vertical asymptotes and…

A: Given

Q: Jxcs. fxcos xdx 14 fxcos.xdx 16 2 18 |xcos xdx

A: On solving this we will get:-

Q: Consider the graphs, shown below, of the functions f(x) (blue, first graph) and g(x) (red, second…

A: According to our policies we are allowed to give solution of only one question at time. For other…

Q: Determine the absolute extreme values of f(x) = 5x – 10~/x on the interval [0, 16].

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Q: Consider the rule f which maps elements in the set A into the set B and which is illustrated below.…

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Q: S 2+3* dx = 4 F. 2Vx 5. In 8 G. 8* S(D-) dx =: Inlxl 6. 2 In 3 H. 2x

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Q: Solve the given item below. Write your answer on a separate sheet of paper. A vertical liquid…

A: Volume of cone(V)=13πr2hr8=h22⇒r=4h11Substitute in the volume formulaV=13π×(4h11)2×h   V =16363πh3

Q: 5 (5y, + 1.5y)3 16.036 (5 + 2/3.25y.) INIM

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Q: Consider the parallelepiped with adjacent edges u = 2i + 4j + k v = i + j+ 6k w = i + 2j + 5k Find…

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Q: 3. Find the area bounded on the right by x+y=2, and on the left by y=x' and below by x-axis. 4. The…

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Q: Test the series below for convergence using the Ratio Test. 57 n! n=1 The limit of the ratio test…

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Q: If sin(0) and 0 is in quadrant III , then find: 3 - - (a) cos(0) %3D (b) tan(0) = %3D (C) sec(0) =…

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Q: Suppose that the graph below is the graph off'(x), the derivative of f(x). Find the open intervals…

A: Solve the following

Q: Number 2 only. Please use the limit definition. Thank you

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Q: Find the most general antiderivative or indefinite integral. dx

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Q: Find the volume of the region between the cylinder z = 5y and the xy-plane that is bounded by the…

A: To find the volume ..

Q: 1 Determine the average value of f(x) over the interval from x a to x b, where f(x) 1 and b = 3 a =…

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Q: If log₁₀ x = 5, what is the value of x?

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Q: Consider the function P = 0.2x2 - 12x- 13. Find the differentlal for this function. %3D

A: The first order derivative of the function will take us to the result.

Q: 3 | (1+ e*)° e° dt D -1 E t In (t) dt 2 F In ( 1+ dt 1

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Q: How many terms of the Maclaurin series of f(x) = ln (1+x) are needed to compute In(1.5) to within an…

A: Given f(x)=ln(1+x) We want to calculate number of terms of maclaurian series required to calculate…

Q: Use l'Hôpital's Rule to find the limit. x11X lim x→0 11* – 1

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Q: 10 -5 -10 %3D -2 -4

A: The answer is in below steps.

Q: IScmプa (4x)"dx

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Q: gies each of base (the miapoint rule), estimate the area 4 f(x) = between x= and x = 1

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Q: Find the gradient vector field (F(x, y, z)) of f(z, y, z) = e®2z + $y + 2= F(1, y, z) =

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Q: 16 14 12 10 8. 6. 4. 6. A942

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Q: Evaluate the iterated double integral: x+4 sin (y³ – 3y?) dy d.x - x+4

A: Let's find.

Q: c. The relationship between the rate of a certain chemical reaction and temperature under certain…

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Q: 67 |xsin 3xsin 2xdx

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Q: Find the point of diminishing returns (x,y) for the given function, where R(x) represents revenue…

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Q: (4, 2) (-4, -1) (a) dx (b) (x) dx (c)

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Q: Consider a nonhomogeneous differential equation y" + 4y = -12x + 10e-*. (a) Verify that yp = -3x +…

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Q: Complete parts (a) through (c) for the following function. f(x) = - 3x + 3x - x-1 (a) Find intervals…

A: Here we have to use the concept of derivatives.

Q: Need to show workings

A: Apologies for the inconvenience.   ∫abfxdx is given by the shaded region below: This region is…

Q: r the graph of the derivative of f(x) shown below: Y = f'(x) -3 -2 -1 0 1 2 3. one of the following…

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Q: Find the gradient vector field (F(r, y, z)) of f(x, y, z) = x² sin(3yz) F(z, y, 2) = (

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Q: solve the following system x-y-z=0                                           x-y=z=2…

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Q: 19 The number (B) of births of a city in the nth year after 2010 is estimated by B = 10…

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