What is the product using Pascal's triangle : (m-n)^3(m+n)^3

Q: Find the points on the curve y = x3 + 3x2 - 9x + 4 where the tangent is horizontal. smaller x-value…

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Q: a) Find the simplified form of the difference quotient for the function f(x)=x²-x. b) Complete the…

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Q: Find Scot'x cse¹x dx. Select one: O a. Scor'x csec¹'x dx = O b. Oc. O d. O e. Scor'x ese¹x dx = 18…

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Q: Let F(x) (2²) = { ª ex IC 3 Find lim F(x). x 0 + lim F(x) = + x >0 x < 0 0<x

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Q: Given the function f(x) = Calculate f(-1) = f(0) = f(2)= √3x + 3 x < 0 3x + 6 x 20 the following…

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Q: ​(a) Find a simplified form of the difference quotient and​ (b) complete the following table.

A: The objective of this question is to find a simplified form of the difference quotient for the…

Q: Evaluate the limit and express your answer in simplest form. arccos(x + h) - arccos(x) h lim h→0

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Q: Ex. sin(x) cos(x). dhe = ? O

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Q: Use continuity to evaluate the limit. lim 5√x² - 2x - 4 X→4

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Q: how did you came up with 4 please explain

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Q: Find the equation of the plane in xyz-space through the point P = (2, 4, 3) and perpendicular to the…

A: Plane in xyz-space passes through the point P=(2,4,3)Plane perpendicular to the vector n=(−1,−1,5)

Q: The expression below has been simplified on the right hand side. What are the correct integer values…

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Q: Determine whether the given function is continuous. You can verify your conclusions by graphing the…

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Q: Evaluate Select one: a. O b. o O d. Se³ sinxdx. Round your answer to three decimal places. 0 O e.…

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Q: Two bacteria cultures are compared to one another for a period of time. The first culture is left…

A: The exponential model Initial value Growth/decay factorIf  then given model is an exponential growth…

Q: Use the following formulas to answer the questions below: T (M, R) = R +0.6 (M — R) M (x) = 220 - x…

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Q: lim x 7-5 X vx2 +9 X =

A: The objective of the question is to find the limit of the function (5x / sqrt(x^2 + 9x)) as x…

Q: F(s) = (8-2)e-* 8²-48 +3

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Q: Differentiate the function. f(x) = (6x² - 2x + 1) (4x² + 3x − Which of the following shows how to…

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Q: Find the equation of the line tangent to the graph of the function at the indicated point.

A: The objective of this question is to find the equation of the line that is tangent to the graph of…

Q: Differentiate. g(x) = x² +5 x² + 6x X

A: Given that the expression we have to find the g'(x)

Q: The temperature at a point (x, y) on a rectangular metal plate is given by T(x, y) = 100 - 2x2 - y2.…

A: Given: T(x,y) = 100-2x2 -y2We have to find the path a heat-seeking particle will take, starting at…

Q: Review the graph of f on the image. Then, follow the instructions also listed on the image. What is…

A: A continuous function is a function that does not have any unexpected changes in value. i.e. if we…

Q: | EJERCICIO 2: Obtenga la derivada de las siguientes funciones aplicando la fórmula correspondiente,…

A: The given function .The aim is to find the derivative of the function and evaluate the derivative at…

Q: A rhombus is inscribed in a rectangle that is w meters wide with a perimeter of 44 m. Each vertex…

A: Solution is following in explanation step.

Q: c) Find f′(x) by determining limh→0f(x+h)−f(x)h. ​d) Find f′(1). This slope should match that of…

A: The objective of this question is to graph the function f(x) = 2x² + 3x - 2, draw a tangent line at…

Q: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

A: The objective of the question is to find the points on the graph of the function y=5x+1 where the…

Q: ind a simplified form of the difference quotient and (b) complete the following table. [(x)=-3x+2…

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Q: (3) (3) 5. Simplify f(x) = 3 + i (a) f(x) = g(x) and g(x) = -5 +i (b) F(x) • 9 (X) (3+1)(-5+1)

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Q: Write the equations of the horizontal and vertical asymptotes?

A: we have given graph to find the vertical and horizontal asymptotes.

Q: Find an equation for the line tangent to the graph of the given function at the indicated point.…

A: The given function is

Q: 1512 + 591825

A: Consider 1512 + 591825

Q: Find the derivative of the function: F(x)=√x arctant dt

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Q: O 2x+8 4. Use the definition of the derivative to find (x+h)²+8(x+h)-4-x²-8x+4 h | f'(x) of f(x) =…

A: The objective of this question is to find the derivative of the function f(x) = x² + 8x - 4 using…

Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

A: Given graph of f(x)

Q: Determine whether the given function is continuous. You can verify your conclusions by graphing the…

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Q: The graphs of two functions f and g are shown below. 篇 -5 * Preview Preview n 1 1 a. Write a…

A: The objective of the question is to write the function formula for g using the function f and vice…

Q: d dx -2x+1 √²2+¹ +11 dt S=2x

A: f(x)=ddx∫−2x2x+11t+1dt

Q: Given the following augmented matrix which represents a linear system, solve the linear system using…

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Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

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Q: 1124 + 195812 +1592114

A: To find:-

Q: Find the derivative of the function using the definition of derivative. f(x) = 4 + 8x - 8x² f'(x) =…

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Q: Find the indefinite integral. Scos³4x dx Select one: a. O b. sin4x(3-sin²4x) 12 O C. O d. sin4x(3 +…

A: Given Information regarding the question As we know that

Q: For the given function find the average rate of change over each specified interval. f(x) = x² + x -…

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Q: D 5. A rocket is launched into the air from a platform which is 8 miles away from a crowd of people…

A: The objective of this question is to find the rate of change in the height of the rocket with…

Q: Find the values of a and b for the curve x²y + ay² = b if the point (1, 1) is on its graph and the…

A: Solution is following in explanation step.

Q: The slope of the line below is -4 -3 -2 -1 5 4 3 2- 1 P -2 -3 -4 12 a

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Q: Let f(t) be the population (in thousands of people) of Math City, as a function the time t (in…

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Q: Say whether or not f(x) is defined for the given values of x. If it is defined, give its value. (If…

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Q: Question Angie has $20 to spend on juice boxes for her son's preschool picnic. Each pack of juice…

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