g(t) = 1 + (2 + t)e¯t Area Find the area

Q: What is the sum of the measures of angles 5, 3, and 4 ? line g || line h 12 4 3 56 7 84° [image not…

A: Given query is to find the sum of indicated angles.

Q: Evaluate the integral using the following values. 8 ["x² dx = 960, ["x ax = 24, ["ax=4 dx dx J4…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 4x = y² +8,…

A: Area genarated by rorating a surface y=f(x) around x-axis over the interval a≤x≤b is…

Q: Find the vector AB in R2 given in the figure. AB= help (vectors) 6 5 A 3 2 1 -6 -5 -4 -3 -2 -1 -1 -2…

A: From the graph we write the position vector of both points

Q: Draw and label diagram to help solve the related-rates problem. The radius of a circle increases at…

A: The radius of a circle increases at a rate of 2 m/ sec. Find the rate at which the area of the…

Q: Find the general antiderivative for the function: f '(x) = 5x4 - 3x2 + 4, f(-1) = 2  *please use…

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Q: 1) a) Solve the following inequalities: (i) 5 (11-q) <q +49 10m +2<8-5m 3 (iii) x² ≥ 15 - 2x (ii) 7m…

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Q: Solve the initial-value problem y" +6y' +9y=0, y(0)=2, y'(0) = -5.

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Q: e^x=p in logarithmic form

A: Given query is to write the expression is logarithmic form.

Q: [D^2-1]y = 10(cos^2)(x)+4e^x solve using method of undetermined coefficients

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Q: Find the equation for the plane through the points Po(− 2,2, — 5), Qo(1, -2,-5), and Ro(-3,5,-2).…

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Q: X 1+y5 √x Sketch the region of integration for integral by reversing the order of integration. dydx.…

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Q: Differential equations method: constant coefficients a) y" + 6y' +9y = 0

A: according to bartleby guideline we do only first part of multiple  a)  y''+6y'+9=0let d dx=D…

Q: 2) Given the following: f(2)=5, f(5)= 7, f'(2) = a, and f'(5) = b b) What is (f¹)'(5)? Show work.

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Q: uppose that x + y = 2. What is y" at the point (1, 1)?

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Q: Use the limit process to find the area of the region between the graph of the function and the…

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Q: A drug response curve describes the level of medication in the bloodstream after a drug is…

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Q: Given that the graph of f(x) passes through the point (5, 6) and that the slope of its tangent line…

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Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

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Q: Find g(x) if g'(x) = (60x² 80x). 94x³8x2 and g(0) = 7. -

A: See the details solution in below

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = -5ex cos (yz),…

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Q: Verify that the given vector field h is a gradient. Then calculate the line integral of h over the…

A: We have to calculate the line integral.

Q: MATH 0121-LAB 8 1. The time it takes for an exponentially growing quantity to double is given by…

A: We have to find the time of doubling.

Q: 2. The top and bottom margins of a poster are each 5 cm, and the side margins are each 3 cm. If the…

A: We can find dimension of the poster with the smallest total area.

Q: The vertical velocity of a cork bobbing up and down on the waves in the sea is shown below. In this…

A: The Solution is given below:

Q: Use the Mean Value Theorem and find all points 0<c<2 such that f (2) - ƒ (0) =ƒ'(c) · (2-0) : ƒ(x) =…

A: NOTE: Refresh your page if you can't see any equations. . substitute x=2 . substitute x=0

Q: Compute the coefficients for the Taylor series for the following function about the given point and…

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Q: Present Value of an Investment Diego deposited a certain sum of money in a bank 4 years ago. If the…

A: Ans= 9917.64 dollars  As per our company guidelines we are supposed to answer only first…

Q: 3) Given the polynomial p(x) = x³ - 2x² + 4x-8 and the fact that x = 2 is a zero of this polynomial,…

A: Given query is to find the factors using synthetic division.

Q: 27. f"(x) = 2x + 3e*

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Q: Differentiate each function below. Be sure to use proper notation to distinguish between a function…

A: The given function is  y=ecx3+1

Q: Integrate h(x, y, z) = cos(x) i + sin(y)j + yz k over the path: a) b) O c) O d) O e) O 12 5 1 5 4 5…

A: The given vector function is: h(x, y, z)=cos(x) i+sin(y) j+yz k

Q: Part 1 1) Differentiate the following expressions (i) 5x2sinx (ii) 40 sin(20) 2e

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Replace R₂ by R₂ + (-2)R₁. 18-8 -7 29 4 8 4 2 - 4 4 R₂ + (-2)R₁ =

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Q: Find fdz 7 log(x) + C

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Q: d) Find a solution of the initial-value problem y'= -y², y(0) = 0.5, making certain to include all…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Suppose the region on the left in the figure (with blue shading) has area is 30, and the region on…

A: Area

Q: 26. lim "/10 3

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Q: A 36-meter line is used to tether a helium- filled ballon. Beause of a breeze, the line makes an…

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Q: Find all solutions of sin (0) = 2 1. 0 = ±+27k, k any integer 2.0=+27k, k any integer म 3.0=+2nk or…

A: sin(θ)=32we know that sin(π3)=32sin(π-A)=sin(A)

Q: Find the time required for an investment of 7,000 dollars to grow to 15,000 dollars at an interest…

A: Given query is to find the time required to grow the investment to $15000.

Q: Find the equations of the tangent and normal to x² - y² = 7 at the point (4, -3).

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Q: Find the second derivative of the function. (Simplify your answer completely.) f(t) = 4e−5t − 5e−t f…

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Q: 3. A farmer has 7500 ft of fencing to enclose a rectangular area divided into four equally sized…

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Q: Find at least 10 partial sums of the series. (Round your answers to five decimal places.) n 1 2 3 4…

A: Sum of GP

Q: 0.4t -. Find the time The concentration of a drug t hours after being injected is given by C(t) t² +…

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Q: 3 Consider the function ƒ(x) = 5x³ + 4zº – 10z³ An antiderivative of f(z) is F(x) = Aï” + Bx™ + Cr²…

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Q: Assuming the petrol burnt (per hour) in driving a motor boat varies as the cube of its velocity,…

A: Use the given relation to frame formula  of  petrol burnt in terms of velocity . And then for…

Q: 3.16 (a) The differential equation d² y +6y +9y=cost dt² dt has initial conditions y(0) = 1, y'(0) =…

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

Q: when the angle of elevation of the sun is º. al 0 112 feet 4 TL1 h

A: given  h=112tan(θ)fot θ=10 degree h=112tan(10)