Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the unit vector u = cos di + sin 8j. F(x, y) = v P(2, 0), 8 = - 5x + y eBook

Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z ver the curve c(t) = (et, t2…

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Q: nn - 1(x) dx n + 1(x) dx wing. of the following is correct for odd powers of sine. 5....n · 2n 2n…

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Q: (x +2y-4) dx + (ax-4y ) ay Solve by Coerlaents linear in two variable

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Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: Screen Shot 2022-04-05 at 5.49.01 PM Q Search Problem #8: Demand for a certain kind of SUV obeys the…

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Q: V y-2+1 dy

A: Please see the answer below.

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

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Q: Q2: Apply the differentiation rules to find the derivatives of: 3x- sin x (a) y=e° Chain rule (b)…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 2x + 5 What is true about the function Ax) = X+3 as x → co?

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Q: Evaluate xe*dx. -3

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Q: Find the limit. lim Vr+3

A: Question 1,Given,            limx→6x+3

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an…

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Q: Find the dimensions of a rectangle with area 216 m whose perimeter is as small as possible. (If both…

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Q: Find the equation of the tangent line and the normal line of the following curves at the given point…

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Q: J(1 - 4x4 +x)/x dx = 1/(2x) + 2x2 -x +C Select one: O True O False |(4csc?x-3sec2x) dx =…

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Q: Find Ay and f'(x)Ax for y = f(x) = 6x, x =4, and Ax = 0.06.

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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: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: topic - application of derivatives

Q: Write out the MacLaurin polynomial of degree 12 of the function h(x) = cos(x2). (b) Use you answer…

A: Given

Q: How do I find the area of the region in the first quandrant bounded by the line y=4x, the line x=4,…

A: Here we have to find the area of the region in the first quadrant bounded by the line y=4x, the line…

Q: 5(3х-1) dx sec ( 3x²-2x)

A: On doing integration we will get

Q: V-2 Evaluate lim X8x2-7x-8 O 2/7 O None of these O 1/9 1 O 1/12

A: We have to find limit

Q: Suppose the position of a particle is given by parametric equations x(t) = 2t2-1 and y(t) = 3t3. (a)…

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Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.

Q: 4. Consider the integral (a) Draw the region of integration. (b) By reversing the order of…

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Q: Let k(x) = tan−1 x. Find the value of k(9)(0), the 9th derivative of tan−1(x) at x = 0.

A: Given

Q: Find the lim x→2x-2 x2-4 O 3/4 O 1/4 None of these O undefined

A: Given query is to find indicated limit.

Q: Consider the following. x = t, y- In(t) (a) Eliminate the parameter to find a Cartesian equation…

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Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2 – 3x². h None of these -X 6x O -6x O 3x

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 10, (3, 4) Vf(3, 4) еBook

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Q: 2. 30e-3*(1+ e-3x)5dx

A: We need to evaluate integral.

Q: 3dt 2t+8) Jt +1

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Q: Five equations are written below. Fill in the missing expression for each equation - - a" In a. (*)'…

A: The given are missing with derivative formulas, we have to find it.

Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: We have to find the increase of area

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

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Q: 3. Find the domain and the range of the functions below. a) f (x) |x | b) g (x)

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Q: Find two numbers whose difference is 40 and whose product is a minimum. (smaller number) (larger…

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Q: ds For the following function find the antiderivative s that satisfies the given condition. dt ds =…

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Q: 3dt 1. (2t+8) Vt+1

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Q: |(sinx/cos2x)dx = sec x + C %3D Select one; O True O False 16x e2^3+1 dx = 3e3+1 + C Select one…

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Q: Consider the function y = 5x4-4x3-3x2+8x-12. What is the average value of the function on [-3, 1] ?

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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 parametric equations of the line that satisfies the stated conditions. The line through (2, –3)…

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Q: Exact ODE y'=e^(2x-1) y^2

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with wo variables…

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Q: Question Using Trigonometric Substitution, evaluate: S e4*/1+ e2xdx Your answer

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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

A: Cylindrical shell Method : The Volume of the solid obtained by rotating about the y-axis the region…

Q: Find the absolute extrema of the function. h(x) = ex2 − 9 on [−3, 3] absolute maximum value: ___ at…

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Q: Use the following information to answer the next three questions. A model of a house was built using…

A: 2.5cm corresponds to 1m.