You are planning to donate exactly 5% of your income to charity. Your weekly paycheck is $753.98. Part A: How much do you plan to donate?

Q: Let u(t)=9t³i + (t²-1)j- 4k. Compute the derivative of the following function. u (tª - 2t) Select…

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Q: Find the solution of the given initial value problem in explicit form. 71 ㅠ sin(2x) dx + cos(6y) dy…

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Q: Find x such that the matrix is singular. 4-[94] A

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Q: Express 2187 as a power of 3

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Q: 13. Find the area of the region bounded by the graphs of y = x, y = -x + 8, and y = 0

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Q: Solve the following differential equation 1. xydx - (x + 2)dy = 0 2. y' = ysecx

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Q: Consider the given function shown on he graph. Identify three values of x at which f(x) is…

A: Topic:- function and limits and continuity

Q: - In 8 e³ -5 ln(

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Q: 17. Determine the equation f(x) = cosx as a sin function.

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Q: 1. Simplify: 3x x + 2 a) ÷ 6x² x2 4 b) (y - 3+√2 )(y+3+√2)

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Q: f(x) = x< – 7x + 3 f(x + Δx) = f(x) ΔΧ

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Q: (x² − 5)· 4x³ − (x¹ − 4)· 2x (x²-5)² f'(x) = Find f'(2).

A: We wil find the required.

Q: Find the domain of the function. (Enter your answer in interval notation.) h(x): = 4 x28x

A: domain of the function h(x)=1x2-8x4

Q: 17. For an object whose velocity, in ft/sec is given by v(t) = 2sin(t), what is its distance, in…

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Q: 2x²12-59 P₁ = (x, y) 2 y = 4x P₂=(x, y)

A: See the details solution in below

Q: The toll T charged for driving on a certain stretch of a toll road is $4 except during rush hours…

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Q: 15. Let 2 √x 4 3/2 y' = 2y + 2xy' 13/2 Solve for y' when x = 1 and y = 4

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 and y=4

Q: The acceleration function for a particle moving along a line is a(t) = 2t + 4. The initial velocity…

A: We need to find velocity and distance.

Q: If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 15, its height…

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Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 21-1 3 7-10…

A: Find the determinant and then go ahead

Q: A- Find (1) asymptotes for the following functions: x²-1 x²+2 (2) x³+x²-x-3 x²-1 x²-4 (1) f(x) =…

A: Note: Since, the student has posted four sub-parts with numbering (1) and (2). We are considering…

Q: If an investment increases 1% the first year, 5% the second year and 9% the third year, what is the…

A: Let the investment at starting is = x   Increase in first year =1 % increase in second year = 5%…

Q: Two cars travel toward each other from cities that are 427 miles apart at rates of 64 mph and 58…

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Q: find the Laplace transform of the given function f(t) = 20 cos(mt) (3<t<6)

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Q: Calculate, to four decimal places, the first ten terms of the sequence. 3n 1 + 4n an =

A: Given, an=3n1+4n

Q: Which of the following equations is NOT a variable separable differential equation? A B C D (xy -…

A: We have to choose the equation which is not a variable separable differential equation.

Q: Find the solution of the given initial value problem. cost Y(T) = 0, t5 y(t): = y' + 5 t> 0

A: Given problem:- y'+5ty=costt5 , yπ=0

Q: Calculus 1. Consider the function f(x) = -5+7²-1. (a) Find the derivative f'(x) and hence the…

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Q: A company must pay a $302,000 settlement in 4 years. (a) What amount must be deposited now at 6%…

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Q: 3) Find the second derivative of y with reference to x. xcosy = y

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Q: B. Write the recursive formula for each Sequence, Then determine the next two terms. 1:5, 9, 13, 17,…

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

Q: Solve the initial value problem. dy 3 dx - = x˚ (y - 5), y(0) = 9

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Q: b. lim X-C * 17 x c where c is some fixed real number.

A: Above question is solved.

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: Estimate the limit numerically (or graphically). Use oo or -oo for too. Write DNE if the limit does…

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Q: 2) Write the equation in logarithmic form 343/3 = 7 a)log,=343 b) log, 343-7 c) log 343=7 3) The a)…

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Q: (1) Check if y(x) is a solution to the given differential equations below: (a) y(x) = exp(-2³).…

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Q: Q5. L{tet sin t} =

A: Laplace transform of Le-ttsint

Q: 5(4) + 3y(3) = 0

A: Let's solve given differential equation.

Q: = Suppose that f and g are functions where f(- 9) = -5 and g(0) be on the graph of y = f(g(x))?…

A: We have, f-9 = -5 g0 = -9 The function is, y = fgx                                .............1 To…

Q: 1 Suppose y = tan ¹æ. Then x = y tan Otan y Oarctan y

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Q: Find a parametric representation of the solution set of the linear equation. (Enter your answer as a…

A: Topic- Linear equation in two variables

Q: a) (b) (c) ê Sir COS -2s (²+4)² 8 (²+4)² 2s (s²+4)²

A: Topic:- application of integration and derivatives

Q: f(x) = y 9 8 7 6 5 4 3 2 x + 5 J 5 6 7 8 X 1 2 3 4 Describe the interval(s) on which the function is…

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Q: Which of the following is the appropriate substitution for the Bernoulli differential equation xdy +…

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Q: If A = 1=1 ²₁₂ 21₁B =[ ²¹/₂ 3 b) B.A c) A-2B a) 3A-C 3] -2 = [3²5] 4J and C= Find:

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Q: 1 a) f(x) = +2 x + 3 - b) f(x) = 2x+2²_3

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Q: 2. Graph the function y=2-x, x = 0 √x, x>0 Determine the domain and range.

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Q: If f(x) = (cos(√) - In (x²))³, then f'(x) = 3

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Q: question 6. (D4-5D²-36)y = 0 answer 6. y = k₁ cosh 3x + k₂ sinh 3x + C3 cos 2x + C4 sin 2x…

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