Find the gradient of the function at the given point. f(x, y) = 2x + 3y2 + 2, (3, 5) Vf(3, 5) =

Q: 22+88

A: The given data is: 22+88 To find the value of the sum.

Q: Which of the following represents the recursive formula for the Arithmetic Sequence? -35, -32, -29,…

A:

Q: xdx Evaluate (x²-2)5

A: Given query is to evaluate the integral.

Q: Find the gradient of the function at the given point. w = x tan(y + z), (9, 5, -1) Vw(9, 5, -1) =

A: Explained below

Q: Determine whether (-±) is part of the unit circle or not.

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A: 2.5cm corresponds to 1m.

Q: 4. V40-4v-v dv

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Q: e" + e¯ cosh(r) : e - e sinh(r) 2 Use our rules for differentiating e" to show that cosh'(r) =…

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Q: (8x? + 2x) dx = 2x + x? Select one: OTrue O False

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Q: Let S denote the cone x? + 4y? = z². (a) Find an equation for the plane tangent to S at the point…

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Q: 13n Illustrate and find the smallest positive coterminal angle of 3.

A: We have to find smallest positive coterminal angle of -13π/3. And we have to illustrate that angle…

Q: Find the derivative with respect to x if f(x) = e -14x The derivative with respect to x if f(x) =…

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Q: Which of the following is not correct? 4dx 4dx A Jo Jx(x+6) = lim o Vx(x+6) C+ .3 dx .3 dx B h…

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Q: Let the region R be the area enclosed the function f(x) = x², the horizontal line 6, and the y-axis.…

A: Explained below

Q: 2 -3 sin x 2. Find + 4e*+3 dx. cos? x

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Q: Differentiate. 12 f(x) = 17 f'(x) =|

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Q: 70 11 odometer. To find out how long this road is, you record the car's velocity at 10-second…

A: To find the length of the road, given velocity

Q: A stellar object is emitting radiation at 1820 nm. A detector is capturing 7 x 10' photons per…

A: Please refer to the image below

Q: Find the equation of the vertical aymptote of the function: f(x)= (x2 -3x-10) / (x2-11x+30)

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Q: 10. csc?e cot e1-5 cot 6 de ſ csc

A: Let's find.

Q: Find all the complex fourth roots in rectangular form of w = 100 cos 57 - + i sin Zo (Type your…

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Q: Find the general form of f if f'(x)= 9f(x). f(x) =

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Q: For what values of x is the graph of y=xe-4x concave down

A: Given  that y=xe-4xSolution :if d2ydx2<0 then concave down.

Q: Use the gradient to find the directional derivative of the function at P in the direction of v. g(a,…

A: Let's find.

Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

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Q: 4. (Straightforward) Determine if each of these differential equations is exact, and if so, solve…

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Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x +…

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Q: #4A

A: answer is in next step

Q: (a) How far is the boat from the marina? Round the answer to one decimal place if necessary. (b)…

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Q: Solve the initial value problem. dv 8 t> 1, v(2) = 0 dt

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Q: is given by: If f(x, y) then 8(8x-4y) '

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

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Q: Differentiate implicitly to find dy/ dx. Then find the slope of the curve at the given point. x²y? =…

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Q: ctangular storage container with an open top is to have a volume of 10 m3. The length of this base…

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Q: *5. Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: We need to use the approximated formula of area of the respective methods.

Q: wo boats leave a marina at the same time. The first boat travels 8 knots at a bearing of N24°E, and…

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Q: Consider the following. u = (1, 2, -3), v= (5, -1, 0) (a) Find the projection of u onto v. (n. 264)…

A: Find your answer below

Q: 2, 22, 23 567 3. Test the series +. +.

A: Topic:- sequence and series

Q: Question x2+4 Using Partial Fraction Method, evaluate: S x(x+2)(3x-2) Your answer

A:

Q: 1. Find the radius of convergence and interval of convergence of the series. (a) (-1)"(n+1)"a²" n=1

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Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy=0

A: The given differential equation is of Reducible Homogeneous form . We solve it using following way .

Q: Learning Task 3: Identify whether the given graph illustrates an extreme value theorem or not.…

A: Let's find.

Q: Differentiate. f(x) = e 13x f'(x) = |

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Q: Differentiate implicitly to find dy Then find the slope of the curve at the given point dx 8x-9y…

A: topic - implicit differentiation

Q: Find the radius of convergence about x = -2 and interval of convergence of the series Sn°(ar + 2)"…

A:

Q: Determine whether the following statement is true or false. If this statement is true, explain why.…

A: Explanation of the answer is as follows

Q: Given f(x, y) = 6x?y then the total differential df = %3D 12аy dx + 6x? dy O 2xy dx + x² dy O None…

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Q: Learning Task 3: Identify whether the given graph illustrates an extreme value theorem or not.…

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Q: The region bounded by the given curves is rotated about the Specified cukis. Sketch the region and…

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Q: Find the maximum value of the function f(x) x - 9x2 + 15x- 5.

A: