Find the value by writing the argument using the numbers 2 and 10 and using the values log 2 = 0.3110 and log10 = 0.6950. log ₂0.2 log ₂0.2= (Simplify your answer.)

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

A: The given function

Q: 4. Find the following limits. If the limit does not exist, write DNE and explain why. If the limit…

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Q: Differentiate the function. f(x) = log,(xe*) F'(x) =

A: Consider the function Formulas

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Q: Evaluate the following integral 8 ["* e* dx е 0

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Q: 3. For the function g whose graph is given, state the following. (a) lim g(x) (b) lim+g(x) = x48 (c)…

A: Note:-As per your demand we solve question 3 for you The condition of existence of limit at

Q: -9x² - 17 - 18x4 (a) standard form (b) degree standard form, degree, coefficients, leading…

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

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

Q: Find the points on the curve where the tangent pairs.) x=9-t², y = t³ - 12t (x, y) = horizontal…

A: Given, x =9-t2y = t3-12t

Q: Find dw/dr when r=4 and s=-3 if w(x,y,z)=xz+y2, x=4r+5, y=r+s and z=r-s

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Q: In 2005, a school population was 1708. By 2006 the population had grown to 1776. 1) How much did the…

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Q: Suppose you are given a function f. Explain, using complete sentences, what you need to do to (1)…

A: Given that we are given a function f,now we need to find (1) the exact x values where f might have a…

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A: Winter Fin© has determined that the total cost (in dollars) for its west factory to produce Blazing…

Q: Find the following limits. 1/x² COS X cos 2x (a) lim ( x →0

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Q: Find formulas for dy and Ay if y = x² - 2x + 1. dy =

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Q: Let L be the line segment between (1, 2) and (4, -4). Find the area of the surface generated when L…

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Q: Find the linear approximation of the following function at the given point a. f(x) = sinx, a - ㅠ ▬ 2

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Q: Compute the value of the improper integral. (If the integral diverges to ∞o, type oo; if the…

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Q: 2 y³ 4. Solve y' +-y X X² = using the following technique: A Bernoulli differential equation (named…

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Q: (x) is a twice differentiable function (i.e the second derivative of f(x) f(x) + x². Find ƒ(1),…

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Q: 3. Find the equation of the parabola with axis of symmetry y = 4, and passing through (9, 10) and…

A: Question no. 3:To find the equation of the parabola with axis of symmetry , and passing through…

Q: d) If k(x)=3 find the values of a and b such that k(x) is differentiable at x = 3.

A: Note:-Since Q 4 is  incomplete but part d is complete then we solve part d for you.The given…

Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

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Q: Find three positive numbers whose sum is 160 and whose product is a maximum.

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Q: Find the eigenvalue associated with the eigenvector A = Number -[-28] = of the matrix A=

A: The given eigenvector is The given matrix is

Q: Use the differential dy to approximate 4y when x changes from x = 2 to x = 1.96. y = X x² + 1 Enter…

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Q: Use the chain rule to find, where dt First the pieces: ow 81 ow dy ow || || Now all together: dw +…

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Q: 2. On what intervals is the function increasing and decreasing? On what intervals is the function…

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Q: Find the length of the indicated portion of the curve by first finding the arc length parameter…

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Q: Find d37 -(sin x). dx37 Derivative:

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

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Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (5, 5) in the direction = 3/4…

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Q: ㅐㅍ 3 1/2 S (2+4C05(0)) ² do 2 싫어

A: To evaluate the following integral.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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

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Q: question 3

A: Figure

Q: If t(x)=0.9exln(x), find t′(5) to the nearest tenth

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Q: (b) logą (3x - 5) = 4

A: The given equation .The aim is to solve the equation.

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: 4. Find a formula for the nth derivative f(n)(x) of f(x) = ln(1+3x). Show some work computing the…

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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: 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.

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Q: Suppose z = x² sin y, a = 48² t², y= 8st. A. Use the chain rule to find and all x, y, s and t in…

A: z=x2-t2 ,y=8st

Q: 3a If f(x) is continuous and ſ³ª f(x)dx = 496.8, what is a [" Round your answer to two decimal…

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Q: Find the sm lest nu approximation of the series 10-4. er n of terms needed to obta an ∞ 17ke 0.49k2…

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Q: A particle moves with position function s = t4 - 4t³ - 8t² + 15t, t≥ 0 (a) At what time does the…

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Q: Prove the statement using the ε, δ definition of a limit. lim x->2 (x^2-1)=3

A: =3

Q: 3. Write the equation of the tangent to x² + y² + 2xy = 4 at the point (1,1).

A: x ^ 2 + y ^ 2 + 2xy = 4