If the functions f, g are linearly independent, then the functions f − g, f + g are linearly independent, too. True or false

Q: Q8 Find the set of intervals for the following functions (a) f (x) > 0 (b) f(x) = 0 (a) f(x) < 0 (b)…

A: we are given graphs of wo functions and we are to find on what intervals are those functions…

Q: Find the exact directional derivative of the function √y z at the point (1,9, 9) in the direction…

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Q: ƒ(xº) and G(x) = (ƒ(x))º . 8 ow that a 13, f(a) = 2, f'(a) = 3, f'(a = = and G'(a)

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Q: Q1. Let f(x, y) = 3xy +/- $. 1 8 (a). Find far(x, y). (b). Find fay(x, y). (c). Find fyy(x, y). 100⁰

A: we need to find out the partial derivatives.

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

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Q: State the Chain Rule, then Let C(x) = f(g(x)). Find C'(1) using the table ow all steps. x f(x) g(x)…

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 5 +…

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Q: Find the slope of the line tangent to the graph of the function at the given value of x. == -√x; x =…

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Q: Compute X, quadrant bounded by the circle x² + y² = 16, the line y = = -x, and y = 0. x dA, where D…

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequer In (n + 5) an = 3 Use…

A: A sequence  converges if  where L is a finite number.

Q: Find the following using the table below. x f(x) g(x) g'(x) 14 74 23 3 1 2 4 3 4 3 h' (2) if h(x) =…

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: To find:-The given graph

Q: If f(x)=x² [f(x)]³=2x-8 and f(1) = 2, find f'(1).

A: we are given the equation, and we need to find the value of f'(1).

Q: Solve the equation. 1 27 3x4/5

A: Given,

Q: Given the surface z = f (x,y) = x³ + 2x² + 4xy+y², (a) Enter the partial derivative f₂ (1,2), 囡囡 (b)…

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

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Q: e²t-e-2t Let h(t) = Find the e²t+e-2t horizontal asymptote(s) of h(t) if they exist. If h(t) has no…

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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: If y(x) is the solution of the initial value problem y′′ +y=0, y(0)=1, y′(0)=1, then− 2≤y(x)≤…

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Q: A weather balloon is rising vertically from a launching pad on the ground. A technician standing 300…

A: The figure

Q: Use the critical value method to solve the rational inequality. Write the solution set in interval…

A: Given rational inequation

Q: Prob #3 A 25in Find the area of the triangle below. 75° B 37° с

A: Given that a triangle ABC . Here     Angle A = 75°     Angle B = 37°    Side AB = 25 in.

Q: Given the function f(x) = x²e³x, Use the derivatives to determine the open interval(s) where the…

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Q: 7.2x dy + y(2 + y²x) dx = 0

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Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converges. an =…

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Q: Consider the following. Find its foci. Find an equation of the ellipse. x-2)² + (-2)² 12 smaller…

A: Consider the following. To find the equation of the ellipse.To find the foci of the ellipse.

Q: Classify the equation as a contradiction, a conditional equation, or an identity. 3[x2(x 3)] 3 = -3x…

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Q: Find the midpoint of the line segment with the given endpoints. (2,-2), (8,8) (x, y) = (

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Q: y = ln(5t³ - 6) y = ln(4- 3x²)

A: y=ln⁡(5t3−6)

Q: Find the derivative of the function g(x) g'(x) = = ex 4 - 3x

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Q: Graphs of the velocity functions of two particles are shown, where t is measured in seconds. When is…

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Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is…

A: Consider the series

Q: Let F = (z, xy, x² + y²). Compute the work done by the force when moving a particle located at the…

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Q: Which step is part of finding the derivative of the function below? The correct choice may not be in…

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Q: Differentiate. g(x) = log 29 (5x-4) g'(x) =

A: To differentiate the following function.

Q: Calculate the determinant of A det (A) = Number -5 3 -1 5 00-3 0 3 -5-2-4 -2 -1 4 5

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Q: The gas mileage m, in miles per gallon, obtained during a long trip is given by m = - Is-551 +15,…

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Q: Mr. Almos earned $672.55 in net pay for working 28 hours. He paid $99.60 in federal and state taxes,…

A: we are given the net pay of the given person and we need to find out the hourly wage of the person.

Q: Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

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Q: Solve the absolute value equation for x. (Enter your answers as SOLUTION.) X = |2x + 41 = -6

A: The given equation is

Q: Q2. Suppose that rsin(yz²); Apply appropriate chain rule to find W = x x= cos(t), y = t², z=et. to

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Q: Sketch the region bounded by the graphs of the functions and find the area of the region. f(z)=xe-*,…

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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: Let f(x) = 2e * +5 1+e=x The graph of is given below. Use the graph of f to determine the given…

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Q: y-values 8 7 6 3 2 1 If f(x) f'(2) = - g(x) h(x) ' g(x) 2 3 x-values then Ou y-values 5 4 1 h(x) 2 3…

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Q: Find the present value of $2000 payable at the end of 3 years, if money may be invested at 4% with…

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Q: Find the exact length of the curve. x = et t₁ y = 4et/2, 0≤t≤4

A: Given, .Formula for length of curve is,

Q: Find the local maximum of the function f(x), which is given in the graph below. As an ordered pair…

A: Find the local maximum of the function f(x), which is given in the graph below. As an ordered pair…

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

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Q: If f(x) = 7√x(x³ - 5√x+6), find f'(x). 7_x³ +21x²-70² + 2/1 3 2√x Find f'(5). X

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