a) Assume that the function is linear. I. II. III. Complete the rest of the table x 1 2 3 4 f(x) 3 6 What did you do to complete the table? Create a rule for the function that represents the table.

Q: Find the solution of the differential equation (1 + y²)dx + (1 + x²)dy = 0

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Q: For f(x)= x2+4 and g(x)=x2-4 find the following function (fog)(x)

A: We have to find the function fog(x).

Q: given the derivative of a g'(x) = -x (3x+15) (x-2) function S 1 find when g(x) is increasing,…

A: Need to find out the intervals on which the function is increasing, decreasing and also the value of…

Q: A function f is given, and the indicated transformation is applied to its graph (in the given…

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Q: Find the directional derivative of g (a, b) = cos(3a + 4b) at the π point ( along the direction of…

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Q: -6-5-4 3-2, in 00 Pe 6 5 - on 3 2 T O -1 -2 -3 -5 fi 6 -7 1 6 7

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Q: Question 4x4 - 1 1 If F(x) = In(t) 4+1² dt, what is F'(x)? . Be sure to enter the argument for any…

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Q: Find parametric equations for the curve, and check your work by generating the curve with a graphing…

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Q: 1. Evaluate if the limits exist of the following (show your table of values): A. lim Inx x-0 B. lim…

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Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given…

A: In the following exercise, to find the coordinates of the vertex for the following parabola by the…

Q: Help Entering Answers .Write the equation z = √² + y² in spherical coordinates. (Simplify as much as…

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Q: Solve the initial value problem y¹6 = 0. y' = 1 + x x y15 (y(1) = 5 x > 0

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Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 4. 5. 6. x² + 5x³+6x² lim 1-2 x²(x + 1) - 4(x + 1) lim…

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Q: x = 22t, y = 3t, z = 1+ t; x + 2y - z = 7 -

A: Topic:- algebra

Q: A particle moves on the curve 4x2+52 = 24. When the particle is at the point (1, 2) its y coordinate…

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Q: (a) lim [f(x) + g(x)] X-2 (b) y y = f(x) y = g(x) A. K X lim [f(x) = g(x)] (c) lim [f(x)g(x)] f(x)…

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Q: Find the (perpendicular) distance from the line given by the parametric equations x(t) 4 + 8t y(t)…

A: Topic-Perpendicular distance of a line from a point we are given line with parametric equations:…

Q: velocity speed f(t) = 85t - 5t² I m/s m/s

A: Given; f(t)=85t-5t2, t=3.

Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 4. 5. 6. x² + 5x³+6x² lim x+ 2 x²(x + 1) − 4(x + 1) lim…

A: We have to graph the function and evaluate the limit.

Q: Find the curvature of the curve r(t) = (e−²t, 2t, 4) at the point (1, 0, 4).

A: Topic = Vector

Q: If f(x) = e³x-2, evaluate the lim X4x Select one: O a. O b. O c. O d. 3e 3x e3x e3 does not exist…

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Q: 2x If F(x)= -1.2 = 3 In (1²) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.)

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Q: Given that lim f(x) = 4 X-1 (b) lim [g(x)]³ X-1 (c) lim x-1 find each limit, if it exists. (If an…

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Q: Show by example that the following statement is wrong. The number L is the limit of f(x) as x…

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Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

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Q: Find dy du and du dx (a) y = u³ and u = x² + 2 dy du du dx dy dx (b) dy du du dx dy dx II 11 || y =…

A: Given, y=u3 and u=x2+2We know…

Q: Dividing a Pen A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide…

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Q: Find the equation of the tangent line to y = 9e* at x = 2. (Use symbolic notation and fractions…

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Q: Find the derivative of the function Select one: O a. O b. O C. O d. 20 -6 20 20 - 20 x 4

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Q: The initial value problem has a unique solution defined on the open interval Type -inf for - and inf…

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Q: Find the marginal average cost function if cost and revenue are given by C(x) = 165+ 7.3x and R(x) =…

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Q: For f(x)= square root x and g(x)=x-1 find the following function (gof)(5)

A: Solve the given function

Q: 2. Graph and find the vertical asymptote of the function: x² +1 3x - 2x² y =

A: Solution

Q: Consider the following. Find the value of y when x = 1. y(1) = Find dy dx dy dx = y (6x2 - 6x +…

A: find equation of tangent line? y=6x2-6x+11+2xat x=1y=13y=3pointx1,y1≡ 1,3

Q: Find the general solution of the differential equation Write your solution in the form F(x, y) = C,…

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Q: a. Graph f(x) = 4-x², X#2 = 2. 4₁ b. Find lim f(x) and lim f(x). X-2* x X-2 c. Does lim f(x) exist?…

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Q: Evaluate the following expressions (note, you may not leave your answer as an algebraic expression):…

A: To evaluate the following expressions.a e3 ln5b 102 log105c log3278

Q: Let F(x) = f(g(x)), , where f(-7)=2, f'(-7) = 3, f'(3) = 10, g(3) = −7, and g'(3) = -9, find F'(3) =

A: Given, F(x)=f(g(x)),

Q: Given the piece-wise defined function: 8 x < 0 f(x) = { 16 x ≥ 0 f(0) = Calculate the following…

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Q: An isosceles triangle is inscribed in a semicircle, as shown in the diagram, and it continues to be…

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Q: For f(x)=x2+4 and g(x)=x2-4 find the following function (gof)(x)

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Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) d…

A: The mistake in your answer is that you have subtracted 1 from 20 in the power.1 must have been…

Q: (Technology Permitted) The position of a particle moving on a horizontal line is given by…

A: We need to choose correct option.

Q: please show the detailed calculations how x became -rcosθ and y=-rcosθ.

A: Let's solve.

Q: What is f'(x) for f(x) = secxcscx? O sin²x-cos²x sin² x cos²x O sin x + cos x sin x cos x sin x cos…

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Q: Use the table to evaluate the expression. (fog)(6) X f(x) g(x) 1 5 3 2 1 5 3 6 6 4 2 2 5 3 1 6 1 4

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Q: Use f(x) = 5x - 4 and g(x) = 3x² to evaluate the expression. (a) (fog)(-2) (b) (gof)(-2)

A: Here we have to use the concept of the composite function.

Q: The vector u = (3296, 1472, 2262) gives the numbers of hamburgers, chicken sandwiches, and…

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Q: Do not use technology. Evaluate each limit analytically. (a) lim (b) (c) (d) h→0 lim h→0 lim h→0…

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Q: A car company can sell x cars at a price of p(x) = -0.01x + 800 dollars per car. The cost of…

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