1 8 Q1. Let f(x, y) = 3xy + / - 1. Т

Q: Differentiate. g(t)=31t g' (t) =

A: To differentiate the following function.

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: Find a function y(x) such that 10yy and y(10) = 8. Y x

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Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.08. y = √√3x - 2 Enter…

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

Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) N ? 7 6 a

A: The given graph

Q: Determine for what values of k the system  3x + 2y = 1; 6x + 4y = k has: a unique solution no…

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Q: 6. A = 4 7 3 6 b = 10 5

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Q: Why/How did you know to use the 2n when multiplying the power?

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Q: Find the differential dy. y = ex/5 1_5x dy || Evaluate dy for x = 0 and dx = 0.01 dy = 0.002

A: Consider the function

Q: Determine the direction in which the graph of the following parabola opens. f(x)=−5x^2+x+4 Up Down…

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Q: Set up an integral for the area of the surface obtained by rotating the given curve about the…

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Q: Application of De A tank contains 1,200 liters of fresh water. Brine containing 0.2 kg/liter of salt…

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Q: Find dy/dx by implicit differentiation. 9 cos(x) sin(y) = 1 dy dx

A: Given, 9cos(x)sin(y)=1.we know,

Q: Consider the parallelogram induced by the vectors 71 I= = Q [³] 2 and 2 = [ -x + where x is an…

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Q: Solve the differential equation. (t−8) s' +7(t−8)5s=t+8, t> 8

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Q: Differentiate. dy dx In x y= 12 X ||

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

Q: Compute the divergence and curl of the vector field F = (sin(x - y), - sin(x - y), ze²²) Is F…

A: Given that,

Q: Find a particular solution Y of the differential equation 8y" + 2y' + 3y = sin²(x). using the Method…

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Q: Differentiate. g(t) = 14t g'(t) =

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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: Find the particular solution of the differential equation x²y" - 5ay +9y=9x (x > 0) satisfying the…

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

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Q: A helicopter gets into difficulty at time t= 0. Its altitude (in meters) is given by…

A: Sorry we can solve only three sub parts.A helicopter gets into difficulty at time t = 0 Its altitude…

Q: (a) Let f(x) = arcsin(x). Compute the following quantities. f(1/2) = Number f'(1/2) = Number (b) Let…

A: (a) f(x)=arcsin⁡(x)

Q: Differentiate y = 11x4 +3

A: given to find

Q: If 3x² + 2xy + y² = 2, then the value of dx -2 (b) 0 - at x = 1 is (c) 2 (d) 4 (e) not defined

A: The equation of the curve is The value of  at  can be obtained asNow, the point at which we need to…

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

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Q: Compute the derivative of the following function. f(x) = 5xe-5x f'(x) =

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

Q: Differentiate the following function with respect to : cos (cos(x))

A: The function is  Here we have to find the derivative of the function

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

A: Given, .We know,

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x5 e-x (a) Find the…

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Q: (Multiple Choice Question) If sec a = -3 = tan ß and a, ß € [T, 2π], then sin(a + 3) is equal to:…

A: Given that and

Q: Use a linear approximation (or differentials) (32.03) 4/5 estimate the given number. (Round your…

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Q: 2c Find numbers a and b such that √a ax+b-2 lim x →0 1. Note: X express your solution based on the…

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

Q: For the function f(x)=simplify the difference quotient: b) [(x+h)-700 What is the slope of the…

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Q: Differentiate. d y = log 4 (xº + x) - log4 (x8 + x) = □ dx

A: To differentiate the following function.

Q: MY NOTES Perform the indicated operation and simplify if possible by combining like terms. Write the…

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Q: Find dy clx In (sin(8x3)) a) y=(√√x2-1) In (sin( b) y = 1+ sin ² (3x)+sin 4 (3x) + sin 6 (3x)+.... +…

A: Since, you have posted multiple questions.As per guidelines we are supposed to answer only first…

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: A spherical balloon is being inflated. Find the rate of increase of the surface area S with respect…

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Q: 13. If f(x)= x-1 I. II. III. x #1 x = 1 which of these statements are true? lim f(x) exists f is…

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Q: Find the eigenvalues of the matrix -40 -18 2 -8 -18 -14 -8 -18 -14, Enter the eigenvalues as a list…

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Q: Write a polynomial f(x) that satisfies the given conditions. 1 Polynomial of lowest degree with…

A: *to find,the polynomial f(x) which satisfies the condition given in question.*given,f(0) = 3.

Q: 5. Solve the second-order equation xy" +2y' = 12x² by making the substitution u=y'.. 6. A tank with…

A: A tank capacity is  400L " data-mce-style="font-size: 113%; position: relative;"…

Q: Determine the interval(s) for which the function shown below is decreasing. -8-7-6-5-4-3-2 8 7. 6 y…

A: given graph of the function

Q: Use implicit differentiation to find 있으 9 sin (xy) = 8x + 5y = dy dx

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

Q: Determine whether C(A - B) is defined. If it is defined, express the result as a single matrix; if…

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Q: Find dy dy dx by implicit differentiation. tan(x - y) = = y 7+x²

A: Here to find implicit differentiation , we must differentiate both sides of the simplified form of…

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

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Q: Differentiate. f(x) = 15x e f'(x) =

A: Given Function is as follows