-IVEN DIFFERENTIAL EQUA quation 1) dx + (x -u) du = 0

Q: Use long division of pol

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Q: Consider the integral / 3x* (25 + 1) dz. In the following, we will evaluate the integral using two…

A: ∫ 3x4x5+1dx=3·∫ x4x5+1dx=3·∫ x9+x4dx=3∫ x9dx+∫ x4dx=3x1010+x55Add a constant to the…

Q: Consider the following function. f(x) = -7x3 + 21x + 8 (a) Find the critical numbers of f. (Enter…

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Q: Find the first term and the common difference. 3 7 9. 2, - - 2' 4 ... 4 a, =], d=D %3D (Simplify…

A: Given query is to find the first term and common difference.

Q: A produce and distributor of gift cards produces z boxes of cards per day at an average cost C (z)…

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Q: Evaluate (x - 4y + z) ds. S: z = 5y, 0 s x s 4, 0 sysx

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Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A: Use rate of change concept

Q: omplete the table for the radioactive isotope. (Round your answer to 2 decimal places.) Half-life…

A: We have to find out the amount

Q: Use l'Hospital's Rule to calculate the exact value of the limit ) as x→ 0- Az) fX) = e -1 and g(x) =…

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Q: 4 E(-1)" sin n=1

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Q: /121 - s" 12t – 5t' +9 dt = +C. (b) u14 + 4.5 Jū du =| +C (c) 1 dx = 5x6 +C.

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Q: O Find dyldx if y = x In(x).

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

Q: 52 7 -1 dx = V7x – 3

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Q: Find the sum. 59 4-5k Σ 9. k= 12 The sum is (Simplify your answer.)

A: I have appended the formula used in the solution part of the question

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: |Approximate the area between the curve below and the r-axis by computing Le on the interval [3,…

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Q: Evaluate the definite integral. i+e"j+t – (e~1 – 1) j + 5 i-ej+: (e – 1) i – (=" – 1) j + -1)j+극k i+…

A: We have to find the solution of  integral

Q: Find the slope of the tangent line to the curve 3x? – 3xy – 2y = - 92 at the point (- 2, 4).

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Q: Find the value V of the Riemann sum V = f(ck)A¤k k=1 for the function f(æ) = x² + 3 using the…

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Q: 4x* -1 +5x°+2x² 3 X+1

A: topic - long division of polynomials

Q: Find the particular solution determined by the initial condition. ds 17t +7t-6, s(0)= 86 dt %3D The…

A: The given differential equation is ; ds/dt = 17t2+7t-6, s(0)=86

Q: Find the valve of k so that (2y sın x cos x -y + 2 y e** ) dx - (x - sın' x + kxye*) dy 0 becomes…

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Q: Identify the value of the function f(x)=log10x at x = 315, Round to 3 decimal places. 3.498 2.498…

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Q: Find the inflection points of f(x) = 2x* + 11x³ – 9x² + 12.

A: For inflection points , f''(x) =0 .

Q: Test the series below for convergence using the Ratio Test. 4 0.5" T=D1 The limit of the ratio test…

A: Given query is to applied ratio test.

Q: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

Q: Write expression log z14 as a sum or difference of logarithms with no exponents. Simplify your…

A: Given query is to expand the logarithmic expression.

Q: 2x-x -2x +1 3 2x-1

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Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: Let us model the number of automobile sales in a developing country as 151,000 N(t) t 2010 1+5.6e…

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Q: Find the flux of F across S, F.N dS where N is the upward unit normal vector to S. F(x, y, z) = xi +…

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Q: The volume of a right circular cone of radius a and height y is given by V 1 - TXʻy. Suppose that t…

A: We have to find out derivative

Q: lim x+0 v25 + 8x – 5

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Q: Using the following vectors, determine each of the following: (Draw a labelled diagram, and give the…

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Q: (a) 12t – 5t? + 9 dt = +C. (b) u714 TA + 4.5ū du = +C. dx = 5x6 (c) +C.

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Q: The total cost to produce x units of perfume is C(x) = (7x+7)(7x+6). Find the marginal average cost…

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Q: FIND THE GIVEN DIFFERENTIAL EQUATION Exact Equation (1+ Iny-품) dx + (중 * In'y) dy = 0 ; y (2) = 1 2y

A: Given; y(2)=1

Q: [xe

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Q: y = y (4, 13) 12

A: We will find the exponential function.

Q: 6 lim | 3 x² – 32 X+3 X - Enter I for oo, -I for -00, and DNE if the limit does not exist. Limit =

A: We shall find left hand limit first if it doesn't exist then limit not exist, if exist and finite…

Q: Find the Indefinite Integral using the substitution x 7 sec(0). (Use C for the constant of…

A: Solving

Q: 0/11 3 Question 1 of 11, Step 1 of 1 Correct Consider the function f(x) = -x' + 5 on the interval…

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Q: 14. A rocket is being launched straight up from ground level, and the launch is being monitored by a…

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Q: Write down the solution of the differential equation: y +4y +3y x2 -5x +4 if y(0) = 0 and y (0) =1

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Q: 8. The sum below can be viewed as a right endpoint approximation for the area under the curve of…

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Q: In spherical coordinates equation for the paraboloid z = 2- x - y is p(cos o- psin? $) = 2 Select…

A: We have to find out  spherical coordinate

Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: Given vectors ū and v , draw 2ü – v .

A: We have to draw given vector.

Q: H.w: Find the LT of the following functions: 1- f (t) = t sin²at ct

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Q: Assume that all constants are positive and not equal to 1. 7" = 6 Hint

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