Find the limit. (F'i – 9 j + r² k) lim t→4

Q: X tu 3. From questions #2-11, choose an "interesting" relation and i) Sketch the relation clearly…

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Q: c) By using the int 00 series is s c n=1 detail solution.

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Q: Verify that the trigonometric equation is an identity. cot a cs a =tan a + sec a csc a %3D sin a + 1…

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Q: Find dy/dz y=f(z) (2x2+3x+1) where f(z) is a general function and z=4x3+2

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Q: 10. The vectorj^3E is the same as vector O j^4E O j^5E O j^2E O jE

A: Solve by vector product

Q: Evaluate the following integrals. Show the solution. 1. S(2x -x5 + 7x-3x2- 11) dx 2. S(9y-2 + 6y…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) %3D х3 — уз,…

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

Q: Which of the symbols below denote the operation of antidifferentiation? c. Sf(x)dx = F(x) A. F(x)) =…

A: Since, you have posted 3 questions. We"ll solve first two questions, because 3rd one is incomplete…

Q: 3. In the differential equation (2x+ y)dx- 3(2x+ y+4)dy=0, we let the substitution dy =,

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: NUMERICAL METHODS QUESTION Consider the differential equation y'(x) = -3x²y², y(0) - 2, which has…

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Q: at Given that £{cos bt}(s) = use the translation property to compute £{e cos bt}. Click here to view…

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Q: This dota shows fthe amount of sugar (in pounds) in different packoges How much total sugar is…

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Q: 83 90 72 Find the 14th percentile, P14, from the following data 1 2 3 6 10 11 12 13 15 18 20 21| 22…

A: Here, we have n=37 data values.

Q: e Cobb-Douglas

A: answer is in next step

Q: Question The statement below is of the form ren de = F6x) + C. Verify whether the following…

A: Note that: ∫-4x55-5cos(x)dx=-45∫x5dx-5∫cos(x) dx=-45x66-5sin(x)+C=-215x6-5sin(x)+C

Q: (2x+ y)dx- 3(2x+ y+4)dy 0

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Q: Find the Taylor polynomial of degree four for the function f(x) = e at x = 0. The Taylor polynomial…

A: The given function is:…

Q: 5) Determine the point of intersection between two lines L1:( (x-1)/1 ) = (y/-5) = ((z-5)/3) L2:…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: Solve the following differential equations. 2. x sin 3y dx + cot 3ydy=D0

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Q: If f(x) = kx, determine the value of k that makes f(x) a probability density function on 0<xs4.

A: Given,           fx=kx2To find : Determine tha value of k that makes fx a probability density…

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Q: If f(x) and g(x) are continuous functions, then s Ldx 4. Lf(x)dx Sø(x)dx° g(x) 5. Sdx = In]x| +C and…

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Q: Find the area of the region enclosed by the rose r = 18 cos 30. NOTE: Enter the exact answer.

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = V +2*dt %3D…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: A 25-y -year old woman burns 400 – 40t cal/hr while walking on her treadmill. Her caloric intake…

A: Integration

Q: Evaluate the surface integral f(r, y, z)dS,

A: answer is in next step

Q: Question 9 Below is a geometric interpretation of の) O Newlon's iméthod O Jacobi's method O…

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: The vector-valued function,    r(t)=ti-t-3k

Q: solve the following differential equations using the substitution suggested by the equation.

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Q: If f(x) = kx², determine the value of k that makes f(x) a probability density function on 0sxs4. The…

A: Given: f(x) = kx2

Q: A pump allows water to flow into a pool at the rate of r (t) = 2t liters per minute, where t is the…

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Q: For the function f(x) 5x3 – 8x? + 8x, Step 2 of 2: Find the equation of the tangent line at x = 1

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Q: 2hx + h“ 4. Find lim h→0 h А. 2х В. 2х +h С. 2 + h D. 2h 5. If f(x) = 2x – 1, what is f(x + h) –…

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Q: Find the derivative f'(x) for the function f(x) = x² + x – 17. - O A. f'(x) = 2x – 16 В. f («) — 2а…

A: Find the derivative of f(x)

Q: d In(x2 - 4x + 13) + sin(ax) dx ex b.

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Q: 4. An object is moving along a horizontal line according to the position function s(t) = 2t - 21t? +…

A: Let's find.

Q: Find the area under the graph of f over the interval [5,8]. 4x+1, for x s7 = (x)] 50-3x, for x>7 The…

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Q: Determine whether the improper integral converges or diverges. dx 1/3 -3 O Converges Diverges

A: Given query is to find integral converges or diverges.

Q: A. [(f(x>g(x)) dx B. 8(x)- 0 dx+f, f(x)- 0 dx 2 c. [ fs)- 0 dx+f g(x)-0 dx С. -2 -1 2 3 -1 D. g(x)-…

A: Given query is to find the area bounded by the curve.

Q: Find the curvature K of the plane curve at the given value of the parameter. r(t) = 6ti – 8tj, t = 1…

A: The formula for the curvature is κ(t) = r't×r''tr't3

Q: In how many different ways can 7 potted plants be arranged in a row with 5 spaces? O 720 O 2 520 5…

A: There are total 7 potted plantsThere are 5 spaces in a rowNumber of ways  to arrange 7 potted plants…

Q: Find the gradient of the function at the given point. g(x, y) = 13xeY/x, (5,0) Vg(5, 0) =

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Q: Solve the following differential equations. 3. (cos 2x-x'y³+5x²)dx – (sin 2y+x³y²)dy=0

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f has zeros at 1 and 3. Show that…

A: answer is in next step

Q: x2 a) lim X o e2x

A: We have to find out limit of given function using  L' Hopital's Rule which is as follows in step 2 .…

Q: 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

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