Consider the function f(x)=4-4x², −5≤x≤1. The absolute maximum value is and this occurs at x = The absolute minimum value is and this occurs at x =

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A: f(t) = Aertf(t) is the value after t years of a $1,000 investment earning 18% interest compounded…

Q: (a) Use the table of values for f(x) and the graph given for g(x) to calculate each of the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: Sin(2A) = 2sin(A) cos(A) Cos(2A) = cos2(A) - sin2(A)Tan(2A) =

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Q: Find the general solution except when the exercise stipulates otherwise. (D2-1)y=0; when x=0, y=y0,…

A: find the general solution of the

Q: Solve algebraically for all values of x: 5x4 6x³ = 0

A: Solve algebraically for all values of x:

Q: Solve algebraically for all values of x: -81x² +100 = 0

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Q: USE THE GIVEN TEST TO DETERMINE THE CONVERGENCE THE GIVEN SERIES. OR DIVERGENCE OF INTEGRAL TEST a)…

A: The given series

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Q: Given the vectors -1 ā= (ể), i=( %), z=(0, 0, 1), d= (2). 22 2 232 compute the following quantities.…

A: Consider the vectors

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A: Given the vertex of the parabola (6,-3) , horizontal axis, and passing through the point (-44,2) we…

Q: Convert the point from cylindrical coordinates to rectangular coordinates. Зл (x, y, z)= 6, × )

A: Given  cylindrical coordinate is .We know in rectangular coordinates,

Q: Let f be the function below. Indicate where f(x) is differentiable. You may click on the graph to…

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Q: The sales decay for a product is given by S = 80,000e-0.3x, where S is the monthly sales and x is…

A: The sales decay of a product is given by:Where,S= monthly salesx= number of months

Q: The value of c that satisfies the Mean Value Theorem on the interval [0, 5] for the function f(x) =…

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Q: USE THE GIVEN TEST TO DETERMINE THE CONVERGENCE THE GIVEN SERIES. OR DIVERGENCE OF RATIO TEST: 2n+l…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula…

A: Given: (a) If , then to find .(b) If , then to find .Note: Since the student has posted multiple…

Q: Let f(x, y) = x² + 5y². (a) Find f (5, 1) and f,(5, 1). fx(5, 1) fy(5, 1) =

A: Find

Q: Write all the calculations needed to find the eigenvalues corresponding eigenvectors V+ of the…

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Q: The graph of f is shown in the figure. y 12 8 7 6 5 4 3 2 1 (a) Evaluate 1 9 2 f(x) dx. 3 LO X 4 5 1…

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Q: Evaluate CD dx where C = x and D = e-4. Which integral techniques did you use? Please explain.

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Q: {), B=(1 3³), - ( 1² ) 2 0 0 00 2 -2 C = If a calculation is invalid or the result does not exist,…

A: 4) B=[0 -3           1 0]5) C= [2 1 0           0 1 -2           0 0 2]

Q: use the given test to determine the convergence/divergence of the given series.  P series test…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Given,Area of a triangle, =88 Altitude of a triangle, The rate of increase of altitude of a…

Q: If cos(t) = where r < t <3, find the values of the following trigonometric functions. Note: Give…

A: Here we have,The given interval is This means the angle is in the third quadrant.As we know,The…

Q: Given that 1 1-x = M8 n=0 x" with convergence in (-1, 1), find the power series for 1 9-x with…

A: Given that

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: Given -The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute Area of the…

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

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Q: Let lim g(x) = 1 and_lim h(x) = 9 x→4 x 4 Determine the value of the limit x lim x→4 g(x) + h(x)…

A: we are given the limits.

Q: Let f(x, y) = sin2(x)cos(y). Calculate 22 ахду -f.

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Q: Write an equation for the function graphed below y = TT -3 -2 6 9

A: we need to find the equation of the given graph

Q: 47. lim- v-3 48. lim y-2 49, lim x-2 v-1-√²-5 v 3 y²+y-6 50. lim x 2 50 51. lim x18 8-y²-y x² - 4x +…

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Q: Find the derivative of the function f(x) = O 4x³ - 2e²x -sin 3x x4-2x sec Br O-4x³e-2x cos 3x -…

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Q: Find the absolute maximum and minimum points of ƒ (x) = ln (4x² – 2x + 5) in the interval x = [0,2].…

A: Given that the function

Q: Find the absolute extreme values for the given function on the given intervals. (It says I can use…

A: The given functions are (a)  on (b)  on

Q: This exercise is based on the following table, which lists interest rates on long-term investments…

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Q: Determine the first three nonzero terms in the taylor approximations for the given initial value…

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Q: The polynomial of degree 4, P(z) has a root of multiplicity 2 at = 3 and roots of multiplicity 1 at…

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Q: f(t) = 2t³ + 3t2 - 36t

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Q: 4. Find the partial fraction decomposition of g(x): g(x) x² +1 x(x² + 1)²

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Q: S 1.0 1.0 *

A: From the graph of f(x)f(1)=1.5Let (x1,y1)=(0,0)(x2,y2)=(2,3)f′(x)=y2−y1x2−x1f′(1)=3−02−0=1.5From the…

Q: Given that t (a) sin(t): = tan -¹(), find the exact value of

A: Given that expression we have to find the exact value of sint and sect

Q: 8 2. a) Differentiate the function Q(p) = -2³√/p³ (e²-√³) b) Hence or otherwise, determine Q'(1).

A: The given function

Q: Use the chain rule to find the derivative of f(x) =6√/9x³ +8x6 Type your answer without fractional…

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