f(x)=2x2-12x+17 a) Use the vertex formula to find the vertex (use an ordered pair). The vertex is _______. b) Find the intervals where f is increasing and where f is decreasing. The function f is increasing for x _____ and decreasing for x ______.

Q: Integrating with repeated linear factors Evaluate f (x) dr, where 5x² – 3x + 2 f(x) x – 2x?

A: f(x)=5x2-3x+2x3-2x2   To find: ∫f(x) dx [By partial fractions]

Q: Assume function given . Evaluate the following integrals, if possible.

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Q: QUICK CHECK 4 Which of the following vectors are parallel to each other? a. u = (-2, 4, -6) b. v = (...

A: Given vectors are,  u = (-2, 4, -6)  v = (4, -8, 12)  w = (-1, 2, 3)  Which vectors are parallel. 

Q: Find function f and g such that the given function is the composition f(g(x)). (Use non-identity fun...

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Q: Find the fourth term in the expansion of (3x + 2y)7.

A: the given expression is (3x+2y)7.  

Q: Matching derivatives with functions Match graphs a–d of derivative functions with possible graphs A–...

A: Here blue line represent derivative  y'=0.5 and red line represent  function y=0.5x That is "b" is m...

Q: Find thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is parallel to the line y...

A: Given curve is y=2x3-3x2-12x+20 Given line is y=2-12x=-12x+2  Slope of the given line is -12. Differ...

Q: Show that the points (3,4), (-3,7), (-6,1) and (0,-2) for the vertices of a square

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Q: Solve the math by showing every steps clearly.

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Q: How can the graph of y = sin-1 x be obtained from the graph of the restricted sine function?

A: given: y=sin-1x

Q: Match the equation x2 + 4y2 = 4 with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and...

A: Given equation is x2+4y2=4 This equation can be written as: x24+4y24=1x24+y21=1 This is an equation ...

Q: I have attached the problem as an image.

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Q: f(x)= rx+d f'(x)= __

A: Let the given function is f(x) = rx + d   To determine: The derivative f'(x) of the given function f...

Q: A plane flying with a constant speed of 180 km/h passes over a ground radar station at an altitude o...

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Q: Evaluate lim f(x) and lim f(x) for the rational function. Then give the horizontal asymptote of f (i...

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Q: Why is the following function not differentiable at x = 1? 2- O the left handed limit of f(x) does n...

A: Consider the graph of a function f(x)  

Q: Find the solution set and then use a calculator to obtain a decimal approximation to two decimal pla...

A: Here given equation as 7x-3=52x+4  

Q: Where on the graph given does the derivative have the smallest value? 4 15 30 45 60 75 90 105 120 Ti...

A: Derivative of the graph is given by the tangent of the angle made by the curve with positive x axis....

Q: Which statement is true? O In order for f(x) to be differentiable at x = c, the lim f(z+h)-f(z) h ca...

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Q: suppose u and v are differentiable functions of x. Use the given values of the functions and their d...

A: According to quotient rule of differentiation, ddxuv=vdudx-udvdxv2 The value of ddxuv at x=1 will de...

Q: . Solve each inequality. Write the answer using interval notation, and sketch the solution on the re...

A: (a)  Given inequality;            - 4 < 5 - 3x ≤ 17  Note: 1. We can add or subtract a number in ...

Q: 2x+1, x <0 Evaluate the function x) = at 5) %3D 2x+ 2, x 2 0

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Q: y" + 2y' + 5y = 0, y(0) = 1 , y'(0) = - 1

A: Given y''+2y'+5y=0  Initial condition y0=1,y'0=-1  

Q: Given g(x) = [(4x^2 + cosx)/6]^6, evaluate g'(x)

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Q: 2 0 and Y = (1 1 - Find the matrix z7 where Y = X-z X = 0 1 0 0 -2 I 1)=,

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Q: Please help me with this problem.  I forgot how to divide by the square root of x.  Please go step b...

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Q: Use the given triangles to evaluate the expression tan 30°. If necessary, express the value without ...

A: We know that sinθ=opposite sidehypotenuse Therefore, sin30°=12 Also. cosθ=Adjacent sidehypotenuse So...

Q: Evaluate the limit: lim Væ+5-V5 x-0

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Q: Find the equation of the line tangent to y = x2 - 1 going through x = 1

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Q: Radius and interval of convergence Determine the radius and interval of convergence of the following...

A: Given power series is, ∑k=0∞(2x)k

Q: (a) Find the inverse of the function. x2 3 = (x),_ 6 (b) Graph both the function and its inverse on ...

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Q: sketch a graph for y= 2sin(x+pi/3)+1 x E[0,4pi] (show full working out for all intercepts and turnin...

A: Consider the given trigonometric function y in the interval [0, 4pi].  y=2sinx+π3+1   , x∈0, 4π Calc...

Q: Find the function such that f'(x)  = f(x) (1- f(x)) and  f(0)  = 1/2

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Q: Solve the equation cos x = -0.8092 on the interval [0, 2π). Use exact values where possible or give ...

A: cos x = -0.8092 on the interval [0, 2π) We know that cos x is negative in 2nd and 3rd quadrant. So, ...

Q: What is the equation of the standard ellipse with vertices at (±a, 0) and foci at (±c, 0)?

A: To find the equation of the standard ellipse with vertices ±a,0foci ±c,0

Q: Find the areas of the regions enclosed by the lines and curves x = tan2 y and x = -tan2 y, -π/4 ≤ y≤...

A: Given information:  x=tan2y,x=-tan2y,-π4≤y≤π4

Q: Write the given expression in the form f(x)=a(x-h)2+k. Identity the vertex.f(x)=3x2-18x-1   a) f(x)=...

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Q: Find the exact value of each of the following (a) tan(arcsin())

A: to find value of tanarcsin25

Q: #2 No need to draw sketch

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