Find the derivative of the following functions. Whenever possible, express answer in factored form. 3. y = 3x² - 4x² -

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given y=3x2+43

Q: Let f(x) = (3x + 7)(3x² + 2)8. Compute f'(x).

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Q: Find the derivative of each function using the basic properties of differentiation. 1. f(x) = 5-7x…

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Q: How does the x^4 and the 3x^3 become to 4x^3 + 9x^2. I understand how you got 4x^3 but not the 9x^2.…

A: We know, d/dx (m*xn)=mn(x)n-1 for any real numbers m,n

Q: 3. xlny + ylnx = 1 a. y y || x Y + Y x² lnx-y y² ln y - x b. x # ( xlny+y y ylnx+x y = y ln x - x ln…

A: We need to find y'.

Q: Find and for the following function. дх ду 3 f(x,y) = x³ - 5xy - 9y²

A: Given function:- fx,y=x3-5xy-9y2

Q: Let -x+b, f(x) = { 1, Answer: b = (a) For what value(s) of b is f continuous at -3? −3, Answer: b =…

A: As per Bartleby rules we are supposed to answer the first three subparts at once. Please post the…

Q: 8. What can be said about non-zero vectors , and w if (uxv). w = 0? #

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Q: Describe a function g(x) in terms of f(x) if the graph of g(x) is obtained by performing the…

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Q: Given the demand equation p + = 16, where p represents the price in dollars and x the number of…

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Q: A line passes through points A(3, -1, 4) and B(2, 0, 5). 7a) Write the parametric equations of the…

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Q: In the figure, the equation of the solid parabola is y=x²-6 and the equation of the dashed line is…

A: Given data:- The equation of a solid parabola, y=x2-6  The equation of the dashed line,  y=5x

Q: Q3. hyperbola has vertices (-5,-1) and (3,-1) and foci (-6,-1) and (4,-1) Sketch the hyperbola a) b)…

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Q: Solve for x: ln(cosh(8x) + sinh(8x)) = x2 +15

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Q: A carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two…

A: Given that : The bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood. The…

Q: Find given the set of parametric equations dy dx x = csc² (at) and y = cot(at), (a) — cot(at) 1 (c)…

A: The objective of the question is determine derivative by help of parametric equations.

Q: Fill in the missing coordinates at special angles around the circle. Use the equation of the Unit…

A: This question can be solved using the following formulassin(180-θ)=sinθcos(180-θ)=-cosθ…

Q: Question 6 Given f(x)=√, g(x)=x²-1, x > 0. Find the value of f (g (3)). O 2√8 O (E) O 2√2 O√3

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Q: Determine the parametric equations of the plane containing points P(2, -3, 4) and the y-axis.

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Q: Solve the right triangle for the unknown sides and angles. Round values to 1 decimal place if…

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Q: A small house has a kitchen, living room, and bedroom. The kitchen has an area of 234 ft². The…

A: Given:- Area of kitchen =234 ft2 Area of living room =402 ft2 Area of bedroom =220 ft2

Q: Two fire lookout towers at points A and B are 5 mi apart. Find the distances from points A and B to…

A: Given data:- The given angle,  ∠ABC=75°45'∠BAC=84°37' The distance between A to B is 5 m.

Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

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Q: For the function graphed below, complete the following. (Enter your answers using interval…

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Q: Find the derivative of f(x) = -5x4+7-2x² a.) f'(x) = -20x³-4x-7-2x² b.) f'(x) = -20x³-4x-7-2x² In7…

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Q: Find the indefinite integral. (Use C for the constant of integration.) [sin³2 sin³ 20 √ cos 20 de

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Q: x = 600 - p - 4p P + 2

A: Given the equation:- x=600-p-4pp+2    -----(i)

Q: 1. Calculate the following limits (showing all working): log₂ (n) + 2n no log3 (n) + 3n (a) lim √7n7…

A: We have to find the limits.

Q: 3. Determine the following limit (tabulate). sin (t-1) lim t1 t²+2t - 3 O-1/4 O ⁰ O None of the…

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Q: 3. xlny + ylnx = 1 a. y = y = x Y + x x² In x-y y² ln y - x y' = O b. xlny + y yylnx+x ( 21 x y = y…

A: Given,

Q: The volume of a cone is given by V = 1 * Pi * r^2 * h/3, where r is the radius of the base and h is…

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Q: Consider the function f(x) = sinx near x = πt. Find the linear approximation error when using the…

A: Given data:- The given function, f(x)=Sinx     x=π

Q: Let f(x, y) = (- (x + y))³. Then = 82f дхду ә3f дхдудх 83f дх2ду ||

A: Given, f(x,y)=-x+y5

Q: If z = (x + y)e", y = 5 - t², find dz/dt using the chain rule. Assume the variables are restricted…

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Q: find the higher derivative of the following  y= (x^2  + x + 1)^2, find y''

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Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

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Q: If z = (x + y)e and x = 7t and y = 1- t², find the following derivative using the chain rule. Enter…

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Q: Given: f(x) = x² + 5x + 4 and g(x) = x + 1. Solve for f(2) g(1) 3 07 18 O(E)

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Q: Solve (x5 + 3y) dx - xdy = 0. O 2y = x^5 + cx^3 O 2y = -x^5 + cx^3 O 2x = y^5 + cx^3 O 2x = -y^5 +…

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Q: What is the derivative of f(x)= xe ?

A: To find the derivative.

Q: Use the graph off to determine each of the following (a) the domain off (b) the range of f (c) the…

A: determine the following by using graph

Q: HW, on Tuesday, September 21, 2021 Ⓒ S Trigonometric Substitution dx 2 x² +9

A: Here we have to find the integration.

Q: DERIVATIVE AS VELOCITY AND ACCELERATION Solve for the unknown/s 3. A particle moves horizontally…

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

Q: F(x)= x³-2x² 3 2x Manipulate the function algebraically and differentiate without using the quotient…

A: Topic = Derivative

Q: Do NOT use the difference quotient, find the derivatives via formula. f(x)=2/x9

A: See this solution in below.

Q: Q1. Find the exact value of the following Trigonometric function, by identifying the relevant…

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Q: 6- 5 2- 1 1 2 3 Based on the graph above, estimate to one decimal place the average rate of change…

A: As we know  Average rate of change of function fx in interval a,b=fb-fab-a

Q: The region bounded by the curves y²= 8x and 2y = x ³ is revolved about the line y=-1. Find the…

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Q: What is the total weight of the four cars in the table? Enter your answer in the box. kg Car 1 Car 2…

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Q: ply) = secly) + e ² Find p'ly)

A: Solve for the derivative