p(x) = a + ax + a,x² + ... + 10x?

Q: ex - 32 √x +x 22

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Q: A particle moves according to a law of motion s= = tª — 2t² + 1, t > 0, where t is measured in…

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Q: Compute the result of counterclockwise rotation of a vector a = absin (a) 81 ∞as 23 by an angle = ³.

A: If a vector v is rotated counterclockwise about the origin through an angle θ then the resultant…

Q: Find the first partial derivatives of f(x, y) = 9x³y° + 6x³y² +2. af ax ||

A: Given, .Formula of partial derivatives:

Q: If f(x)= = 3x5 – 5x4 – 3x³ x4 " find f'(x).

A: The given function

Q: 9-x²-y² J 0 e¯(x²+y²+z²)³/² dV.

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Q: -5x Let f(x) = e+e f(x) has one critical value at A = In (3) 7 Answer exact, such as

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Q: 8. Find the derivative of each. N (a) y = sin-¹(x³)

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

Q: which they occur. f(x) = 4x+7; [-5,5] The absolute maximum value is at x = (Use a comma to separate…

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Q: Determine the limits of: 3N (1 + 2/3 3³

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Q: Find f. f'(t) = 8 cos t + sec²t, -π/2 < t < π/2, f(π/3) = 2

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Q: es of x in the interval [0,2ë] at which the graph 0 as a horizontal tangent.

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Q: Find d²y/dx² implicitly in terms of x and y. x²y - 4x = 6 d²y dx² || (4xy-12) +³ 3 X

A: we need to find out the double derivative of the given expression.

Q: In 2004, an art collector paid $168,274,000 for a particular painting. The same painting sold for…

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Q: Simplify the expression. (16x 16x²x) (- 8z4 28x²z³ 14y²

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Q: The velocity of a particle moving along a line is a function of time given by 79 t² + 12t + 27 v(t)…

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Q: Match each scatterplot shown below with one of the four specified correlations. O O 00 %%0 O 08 Ⓡ 0%…

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Q: Find the local linear approximation of f(x) NOTE: Give your answer in terms of x and not Ax. 1 √1+x…

A: we need to find out the linear approximation of the given function at the given point."Note that as…

Q: Find the value by writing the argument using the number 5 and using the value log 5 = 0.6930. log 25…

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Q: Find the an equation of the hyperbola satisfying the given conditions. Foci at (-13,0) and (13,0);…

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Q: 3. In the theory of random motion of particles the following formula shows up: 2²/sin-¹ (√²) F(t) =…

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Q: 2/3 f(x)=2x [-1,1] Select the correct choice below and, if necessary, fill in the answer boxes to…

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Q: In 1991, the moose population in a park was measured to be 3710. By 1998, the population was…

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Q: Calculate p'(1) if p(x) = (f(x) + g(x))¹.

A: The given function .The aim is to find the value of the derivative .

Q: Find the intersection of the line x = -1 + 2t, y = 3 + t, z = 4 - t with the yz-plane. O (1, -3, -4)…

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Q: A plane P contains two intersecting lines given by T₁ = (1, 1,0) +t(1,-1,2) T2 (2,0, 2) + s(-1,1,0).…

A: A plane P contains two intersecting lines given by…

Q: Find the derivative of the function. e Su -5u e y = e 5u <-5u + e

A: Quotient rule:

Q: The function v(t)= t³-812+15t, [0,7), is the velocity in m/sec of a particle moving along the…

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Q: 3. Solve the DE dp dt Р R(1-P) M = KP 1-- if k, M and m are constants.

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Q: The hyperbolic cosine function cosh x (pronounced ‘kosh’) is used to describe a catenary, the shape…

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Q: 5x+500 A garden shop determines the demand function q = D(x) = 20x +9 the number of plants sold per…

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Q: purchases a new car for $21,550. He makes a $6000 down payment and finances the remainder thro tized…

A: We have to find the monthly payment, amount and interest.

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

A: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

Q: Determine the derivative with respect to a: In (255)

A: Given, .We know,

Q: dw dt ne derivative where w = xyz, x = 5t³, y = 3t¯1, and z = 6 |z=6t-2 1

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Q: Find the average value of the function h(x, y) = x³y² on the region bounded by f(x) = 2x + 2, g(x) =…

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Q: A rectangular tank measuring 1 mx 2 m × 3m initially contains w is being pumped into the tank at a…

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Q: Find the length of the curve x = 6y from y = -5 to y = 5. Write the exact answer.

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Q: If a snowball melts so that its surface aree decreases at a rate of 10 cm2/min, find the rate (in…

A: Shape of snowball is sphere.

Q: Write a polynomial f(x) that satisfies the given conditions. Degree 3 polynomial with integer…

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

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Q: Find the length and direction of u x v. u=4i+2j+8k, v=-i-2j-2k

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Q: Find the smallest number n of terms needed to obtain an x 9 approximation of the series accurate to…

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Q: Find the point where the tangent line to y = 5x² at x = 0.7 crosses the x-axis. x-intercept =

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Q: Problem 2: Use Cramer's Rule to solve for the System of Equations by hand: -x + y = 10 5x + 4y = 2

A: By using Cramer's Rule to solve the following system of equations.

Q: question 3

A: Figure

Q: Find the derivative of: -5√x + 3 76 ● Type your answer without fractional or negative exponents. Use…

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Q: 3. Solve the following homogeneous differential equations a. y"-4y'+4y=0

A: To solve the following homogeneous differential equation.Note: Since the student has posted multiple…

Q: Find an equation of the line tangent to the following curve at the given point. y=9x +4 sin x;…

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Q: Inx for all x > 0. The derivative of fis given by x 2. Let f be the function given by f(x) = f'(x)=-…

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