Late each of the following integrals +∞ f (x² +1-ex)dx 0

Q: The curves F1(t) = (2t, t², - 2t5) and F2(t) = (sin(2t), sin(- 4t), t - ) intersect at the origin.…

A: To find the angle between the intersection of the given vectors.

Q: Given the following vectors, calculate −9v u=⟨−8,−4⟩,v=⟨3,−2⟩

A: Solution ) u = < -8 , - 4 >                   v = < 3 , - 2 >  - 9v = -9 < 3 , - 2…

Q: What are the critical points for the plane c defined by the equations ä(t) = 4 sin(2t

A: given plane curve be  x(t)=4sin(2t)    and      y(t)=-t     where  0≤y<2π   then we have to find…

Q: Given f(x, y, z)=√√√-6x – 2y — z, find fz(x, y, z) = fy(x, y, z) = fz(x, y, z) = Question Help:…

A: We have to solve given Questions.

Q: Question What are the critical points for the plane curve defined by the equations a(t) = sin(nt +),…

A: Let's find critical points.

Q: Use a triple integral to find the volume of the solid bounded by the graphs of the equations. z = 6…

A: Given that some equation z= 6-x3 and y= -x2+2 And y=0 ; z=0 ; x>=0 . Use triple integration to…

Q: 2) Given that tan o= 3 where & is quadrant III 0 9 find seco b) Given that csc o² = -9 where of is…

A:

Q: A point on the xy-plane that does not lie on the graph of y = X+1 a) (0,0) b) (12.1) (₂ c) (−127,…

A: Given : a.

Q: Find dy/dt. 13) y = (1 + sin 12t)-3

A: Given, y=1+sin 12t-3

Q: Suppose that f(x, y) = 2x + 7y and the region D is given by {(x, y) | − 5 ≤ x ≤ 3, -5 ≤ y ≤ 3}. D…

A: To find the double integral value.

Q: g'(2) = g(x) = x + 4

A: dxndx=nxn-1g(x)=x+4x2g(x)=x+4x-2

Q: 1. An airplane heads due north at 280 mph. It experiences a 38 mph crosswind flowing in the…

A:

Q: In an effort to make room for new inventory, a college bookstore runs a sale on its least popular…

A: NOTE: Refresh your page if you can't see any equations. . the sales rate is  whee t=number of days…

Q: 7:3 af + + 7 d ² -dx Evaluate the indefinite integral + C

A:

Q: question 33 it's calculus please help  The demand curve for a certain product is given by p(q) =…

A: For find the equilibrium point we have to equate both demand of product and supply value.

Q: A company manufactures mountain bikes. The research department produced the marginal cost function X…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is given by…

Q: If x>1, pick the expression below which always decreases as x increases 1 x==²=22 X a) x.

A: Given : x > 1    in only option C , x is in denominator . Therefore as x increases , 1/(x+1)…

Q: 6) as an ice block metts, the note at which its moss M, decreases is directly proportional to the…

A: NOTE: Refresh your page if you can't see any equations. . M=mass of ice cube dMdt=rate of change in…

Q: Suppose you deposit $6000 at 6% interest compounded continuously. Find the average value of your…

A: Given: Deposit Amount = $6000 Interest rate = 6%

Q: A graphing calculator is recommended. Sketch the region enclosed by the given curves. y=4-x², y = 0…

A: To sketch the region enclosed by the given curves.y=4-x2, y=0To calculate its area.

Q: True or False: Consider y = (x − 1)(1 − x). 1 If I use logarithmic differentiation to find y, the…

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Q: Evaluate the limit using L'Hôpital's rule 7x³ e10x lim x →∞

A: Given query is to find the limit.

Q: etch the region enclosed by y = 3x and y = 5x². Find the area of the region.

A: Topic:- application of integration

Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

A: Let's find largest area , width and length.

Q: If the vector u has magnitude 2 and direction 320° (relative to the positive x-axis), what is the…

A:

Q: Starting from an airport, an airplane flies 110 miles northwest and then 110 miles south. How far,…

A:

Q: If f(x) ƒ'(x) = = sin² x, find f'(x) Find f'(4) ƒ'(4) =

A: Given that , fx=sin2x find f'x and f'4.

Q: Find the integral of F(x) = √ 2x + 3 over [-1, 1], using Riemann sums with n=4 and the midpoint of…

A:

Q: At what interval is y=3x5 – 5x³ decreasing? C O −11

A:

Q: 13) y= (х2+2х-1", бус? A) X+1 y в) чу (х+) D) — (XH) (x2+2*-1) 3/2 c) 1 2\722x-г

A:

Q: 26) Suppose that f and g are continuous and that Ś [4f(x)+ g(x)] dx. Find f(x) dx = -2 and ľ g(x) dx…

A:

Q: Evaluate the integral. 29) Sx8(x9-9)4 dx

A: we know that   ∫xndx=xn+1n+1+cdxndx=nxn-1

Q: - Evaluate: f Sin (x7 - 5) dx x

A: ∫sinxdx=-cosx+cdxndx=nxn-1

Q: how long would it take 20,000 to double if it earned 6.25 percent interest and was compounded…

A: Topic:- application of algebra

Q: 4 Given the vectors ² = -37+√3 and V = √31-3³, find (a) the dot product = (b) |u²|= ? |V | = ? (c)…

A:

Q: Find the average value fave of the function f on the given interval. f(0) = 5 sec²(0/4), [0, π] fave

A:

Q: Let be an acute angle. 21 a) Given: sine 295 b) Given: cose = √√5 c) Given: sine =- 3' √√3 9 2…

A: To find other trignometric values.

Q: Use the properties of natural logarithms to simplify the function. f(x)=ln(x^3)-ln(x)

A:

Q: Suppose that f(x, y) D = I and the region D is given by {(x, y) | 3 ≤ x ≤ 4,1 ≤ y ≤ 4}. Y Then the…

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Q: Given vectors u = (7,-4) and v = (-8, -7), find u v.

A: The given vectors u=7, -4 and v=-8, -7. We have to find the value of u·v.

Q: 10. Find a formula for the function f(x), given the information that f is continuous and th f(t) +…

A: Given that f is continuous and 4x+∫1xfttdt=sin x. We have to find the formula for fx.

Q: Obtain x²dx by integration.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: . For the given triangle, find the exact value of all six trigonometric functions. Function sin 0…

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Q: Find the area of the shaded region. 28) (0,0) y = x³ - 4x 3 (3,15) %

A: Consider the figure given below :

Q: Given f(x, y) = sin(x + y) where x = : s¹tº, y = 4s – 6t. Find f(x(s, t), y(s, t)) = ft(x(s, t),…

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Q: What are the critical points for the plane curve defined by the equations ä(t) = sin(πt +), y(t) =…

A:

Q: Let theta be an angle between vectors u = i + 4j, and v = -2i + j. What is Cos theta? What is sine…

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Q: Find the area inside the loop of the following limacon: r 7-14 sin 0 -

A: Given: r=7-14sinθ To find: Area inside the loop of the given limacon Now, we know that area of the…

Q: Question Find the sum, if it exists, of the series. Select the correct answer below: 52 189 27 91…

A: