Given the vector-valued functions i(t) = et + et + 5tk (t) = 3ti + 3t²j5k d ind(u(t) (t)) when t = 0. Question Help: Video

Q: 1. Let f(x, y) ) = x² and compute fe and fy. 2. Prove that if f(x) is continuous at x = a and g(y)…

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Q: A ball is thrown upward from a height of 2 m at an initial speed of 40 m/s. Acceleration resulting…

A: Let's find velocity and height function.

Q: 2. xy + y = (xy) ³/nx

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Q: At OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

A: NOTE: Refresh your page if you can't see any equations. . the rate of net sales is given by where…

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A: Given query is to expand the expression.

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A: Given :   critical point equate to zero

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A: Given query is to find the area of the shaded region.

Q: (₂) Using the u-substitution, u = x + 3, identify f such that the integral help (formulas) ¹ [ f(u)…

A: Given integral  is ∫ xx+3   dx

Q: ܠ -8 V64 - x2 1 1+Jx2 +y2 dy dx

A: To find:- ∫-80∫-64-x2011+x2+y2dydx

Q: Using identities to simplify completely trigonometric expression below :  tan x (csc x - sin x)…

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Q: gradient of the line joining the points (3, 5) and (2, 8) is

A: Given query is to find the gradient of the line.

Q: Evaluate the integral. [²8+ ¹8+u² u³ 3 - + log (2) du

A: ∫248+u2u3du

Q: Find the equation for the parabola that has its focus at (−35/4,−3) and has directrix x=-29/4.

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Q: If the marginal revenue for ski gloves is R'(x) function. R(x) = = - 0.6x + 50 and R(0) = 0, find…

A: If the marginal revenue fro ski gloves is R'x=-0.6x+50 and R0=0, to find the revenue function.

Q: Evaluate *(1-x)¹/3 da. Hint: use substitution. Select one: O a. 27 220 O b. 0 с. O d. 28 27 140

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Q: Problem Solving: Show all pertinent solutions and box all final answer. 1. Evaluate fx²√1 + x dx

A: use the substitution method to solve the integral.

Q: Given that f(x) = x³h(x) - h(1) = 5 h' (1) 8 = Calculate f'(-1).

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Q: 1) 2² Evaluate ze x² + y² + 2 dv where E is the portion of the ball x² + y² + z² = 1 that is in the…

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Q: An annuity is a fund into which one makes equal payments at regular intervals. If the fund earns…

A: The differential equation is given as , y'=d+ry where r is the interest rate and d is the deposit…

Q: Evaluate the integral. 1₁ w² w² In(w) dw

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Q: For Problems 3-4, find the definite or indefinite integral, giving an exact answer for a definite…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Rewrite the following in terms of a single logarithm: - log(x+2) - 3 log(x) − 5 log(x² + 1)

A: We are required to write the given expression  log(x+2)-3logx-5log(x2+1) in terms of a single…

Q: Find the most general antiderivative or indefinite integral. 10x13 10x√13 dx =

A: To evaluate the given integral

Q: Q8. A mathematical equation containing the derivatives of one or more unknown functions with respect…

A: to find  a mathematical equation contauning the derivatives of one or more unknown function with…

Q: Which of the following cannot be the number of real zeros of a polynomial of degree 5 with real…

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Q: For x > 0, the function F is defined by Find F'(x): - Lo (³ +5³) dy In(x) F(x) = F'(x) =

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Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A: We have to find the number of terms of the given convergent series that must be summed.

Q: et f(x) = 7x and g(x) = 2x² ind the area of the region enclosed by f(x) and g(x). nswer:

A: Given query is to find area of the region enclosed.

Q: 4) -- 6 Quadrant Reference Angle Tan(-) =

A: Reference angle is the smallest possible angle between the x-axis and the terminal side.

Q: Coefficients Linear in two variables. Find a general solution of the differential equation (y - 4x -…

A: We know  ∫xdx/(x²+1)= (ln|x²+1|)/2  ∫dx/(x²+1)= tan-1(x) or arctan(x) Given differential equation,…

Q: 21. Σ (2n)! n=0 (3) n

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Q: Find the area of a triangle with sides of length 12 and 30 and included angle 78 degrees. wer is

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Q: an || 2 2n+1

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Q: Question Find the area of the region enclosed by r = 5 cos (0). Enter an exact answer. Sorry, that's…

A: Let's find area enclosed by r=5 cos(theta).

Q: place ofitemonogirt vlotolamo le 115 +- 56° X 35°

A: Given query is to find the value of x.

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx B) Write the equation for the…

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Q: Evaluate [**f(x) dx, where T [*ª* f(x) dx = f(x) = (2x³, -π<x<0 [7sin(x), 0≤x≤ π.

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Q: Find all possible functions with the given derivative. t 1²/24 f'(t) = cos 9t- sin f(t) =

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Q: 9 -9 0 √√81-x2 dy dx

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Q: Text:If f(x) = tan(2x), what is the absolute difference between f(5.4) and T₂(5.4), if the second…

A: To solve the following

Q: Let F(x)= = =[ −7 cos(t²) dt. Use the Fundamental Theorem of Calculus to find F'(x). F'(x) =

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Q: Determine the relative extrema of f, if there are any, and locate any saddle points. a. f (x, y) =…

A: To solve the following problem and find the points of extrema

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A: Given: limx→-5x+32

Q: The number of people P that are contracting a new disease can be modeled by the population virus…

A: To determine the rate at which the disease is spreading

Q: Find the domain and range of y = log7(4 + 3x) + 12.

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Q: Consider the following. x = 5 cos(6), y = sec²(8), 0≤8</ (a) Eliminate the parameter to find a…

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Q: Find all the relative extrema and saddle point(s) of f(x,y) = 3xy2 + x3 - 3y2 - 3x2 +

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Q: (a) Rectangular equation: (b) Parametric equations: Rectangular equation: Parametric equations:…

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Q: Use the Divergence Theorem to evaluate the surface integral F. ds. F = (x³,2, z³), S is the sphere…

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Q: Suppose Evaluate each of the following limits: (a) (c) lim f(x) = -3, x-a lim f(x)]² lim /h(x) x-a…

A: given  limx→af(x)=-3limx→ag(x)=0 and limx→ah(x)=8accorging to bartleby guide line we do only first…