3. Find V x F for F(x, y, z)= -x2 i + x² + y² -yz x² + y² =j+√x² + y²k.

Q: r(t) = (-2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 (-sin (2t), cos (3t), t ln…

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. 49 (1-x)²…

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Q: aunauna Question 2 of 10 al a) Given the following piecewise function, evaluate each limit below:…

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Q: dx sin² x cos²x 10. The value of f; A sinx-cosx+C B. cos x– sin x+C C. tanx-cotx+C D. cotx-tan x + C

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: Find the linear approximation of given function at (0, 0). 3x + 4 2y + 1 f (x, y) = f(x, y) =

A: We have to find the Linear approximation of the given function.

Q: A rock is thrown vertically upward with a velocity of 256 ft/s, so its position function can be…

A: A rock is thrown vertically upward with a velocity of 256 ft/s, Its position function can be modeled…

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: We can find discontinuity of the function .

Q: a) b) c) The height of a rock climber thours after she begins her ascent up a mountain is modelled…

A: Average rate of change  of a function f(x) over a interval [a,b] is given by Avg.=f(b)-f(a)b-asee…

Q: 6. f cos(3x + 4)dx

A: We have to solve the given integration

Q: Evaluate the integral. Oin | +0 | C In (x-8)² x + 7 In |(x-8) ³² (x + 7) + Din ((x=83² ) +1 In C + 7…

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Q: Given f(x) = 5x³ + 7x + 7, write a limit representing the derivative of f(x) at x = −2. Provide your…

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: From the given graph, we discuss about the discontinuous points and its types

Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

A: Taylor series of function fx at a is defined as:…

Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y²…

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Q: Is (1,1) a unit vector? Explain. Choose the correct answer below. O A. (1,1) is not a unit vector,…

A: We can solve this as follows:

Q: Find the general indefinite integral. √ (9 -1) (4 +1²) dt

A: Solution of given question is written in below steps.

Q: 15 Find the Equation of the tangent at (); 4 2 'V or to armist mi Y sin (127) = x cos (24) 7 ition]…

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Q: lim n-78 √√3n+2 3ntz 1 h

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Q: of in and Explain how inverse of the table graph the representation function a of values, equation…

A: To explain that how the representation of an inverse of a function in a table of values and equation…

Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y²…

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Q: 2. The antiderivative of cos Π.Χ. A. -cos 2 B. KIN COS C. sin D. sin π.χ. is

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Q: Determine the order of the given differential equation and state whether the equation is linear or…

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Q: Evaluate the limit 1-04 me 1 Amar lim 3 +3) x+1 x+3 Una

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Q: Define the points Q(3,2) and R(8,- 10). Carry out the following calculation. Find the unit vector…

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Q: Solve the given differential equation. 11x² – 1 11 + 5y y' =

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Q: f(x, y) = -(x-7)² In²(y + 4)-(4x + 7y)². Find all the first partial derivatives of a) the function…

A: As per the guidelines of bartleby the first question from multiple questions is answered at a time,…

Q: Use a sign chart to solve the inequality. Express the solution in inequality notation and in…

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Q: lim (x,y)→(0,0) lim (x,y)→(0,0) 7x²+4y 4y 49x²-98xy+49y² 7x-7y

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Q: b) following function is defined Determine the point(s) where the g(x, y) = -(x − 7)² In²(y +…

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Q: Use the comparison test to determine if the following series converges or diverges. sinn 9/2 n=1 n…

A: We have to check the series

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: (8) A ITI system is described by the D.E. y +6 Y+8y=2XL) find h(t) then find y(t) if X(t) = té²t…

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Q: Solve the differential equation. y' - y = 3ex

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Q: Use the graph to match the integral for the volume with the axis of rotation. (a) V R O (i) (ii) (b)…

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Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constant: (s) to discont Ta n…

A: for limit to be exists we have the following conditionslimx→2-f(x)=limx→2+f(x)

Q: Sales Analysis The total sales S (in thousands) of a video game are given by at² t² + b' where a =…

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Q: 8. f(sin3x – cos4x) dx

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Q: Alfredo and Alicia are having an ice skating contest. They skate along a long, straight track and…

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)² +…

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A: we will use second partial test.

Q: 6. The value of f A. + C B. C. D. (4-x² +C 4√4-x² 4√4-x² dx (4-x²) 1.5 +C +C

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Q: Find the four second-order partial derivatives for f(x, y) = 2x³y² +6x5y4. fxx² fyy= x" fyx 11 11 11

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Q: calculus

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Q: 1. Compute the following: f sin²(x) dx

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Q: Question show that the limit does not exist. a Find the limit, if it exists, or b) lim (x,y) →(0,0)…

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: n = 2 ( xcct) · cos (nwot) at O = 2 + 25² 25+ (1+) Cos (2nrrt) dt 1² (1-6) -2 = 21 - ² = 2) - (t-1)…

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Q: Opens left or right Vertex: (-7, 9) Passes through: (-4, 8)

A: Given:   Vertex: (-7, 9)   Passes through: (-4, 8)

Q: Find the limit (if it exists) of the sequence (x_n) where x_n = sqrt(3n+2)-sqrt(n).

A: Here, the given sequence is: {xn} where xn=3n+2-n