Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 12] r 2 X -X+16

Q: 14 Determine which statement is true Every simple graph is a complete graph. Every complete graph is…

A: below is your correct option

Q: ubscription. a. Based on the graph of J, hind the root of the equation 6x³ 19x2 + 16x-4 = 0 that is…

A: We need to find root.

Q: B)Prove (cose + i sine)" = cosne + i sin no

A: Solution is given below:

Q: a. Determine whether the Mean Value Theorem applies to the function f(x)=ex on the given interval…

A: The given function f(x)=ex on the interval 0, ln 9

Q: ( (tano-1)² do

A: Given ∫[tanθ-1]2 dθTo evaluate the integral:

Q: Which of the following is a solution of the given initial-value problem? y' + (tan(x))y = 5 cos²(x);…

A:

Q: 4 Find the coefficient of the given term when the expression is expanded by the binomial theorem…

A: Find the coefficient of x2y7 in (2x+3y)9 using binomial expression.

Q: 8. 9. A) 1−sinx Ĵ (COSX + 1 COS X+X 2(cosx+x)2 E) ·x)³ dx = ? 1+tan²a (2 + tana)² -+C B) +C D)…

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Q: Find , given y = log(ev+x²). dy dx

A:

Q: 2. Derivative of f(x) = - 9x + 4 is: a) 9 b) - 9 c) 4 d) 0

A: Derivative of constant is 0

Q: If 5 5 f(x) dx = 4 and 2 Š² f(x) dx + O -2 O 10 O 2 0 0 4 g(x)dx? g(x)dx = 6, what is

A: Given

Q: B)Convert r = √2 cos (0-) to cartesian.

A: we need to convert polar coordinate into cartesian.

Q: Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3…

A: To find the derivative of the given function.

Q: Question 32² If F(x) = √3+ Int dt, what is F"(x)? (Do not include "F" (a) =" in your answer.)…

A: This question is related to differentiation, We will solve it using given information.

Q: 1(3). If f(x) = 2 cos x + x³, find 06 2 4 8

A:

Q: Write the logarithmic equation y = log5x² in exponential form.

A: We are authorised to solve only one question please repost remaining questions Logarithm

Q: The position in feet of a race car along a straight track after t seconds is given by s(t) = 4t² - t…

A:

Q: If g(x, y) = x² + y² - 6x, find the gradient vector Vg(1, 6). Vg(1, 6) =

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Q: let a=2+7i b=4-2i Choose the correct result of a*b* O24+22i O22+221 O22+241 O 22-24

A: complex number multiplication

Q: ■ Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

A:

Q: Draw a graph to match the description given. f(x) has a positive derivative over (-∞, -1) and…

A: Here, given that the function f(x) has a positive derivative over -∞,-1 & (-1,7) and a negative…

Q: which f(x) is negative. Determine the intervals on which f(x) is positive and on…

A:

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

A: Here we have to solve the differential equation.

Q: Find the interval of convergence of the power series: ∞ n [²(+1²] (x + 1)n 1)"] 2n n=0

A: To find the interval of convergence.

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

A:

Q: Given f(x) = 3-5x³, use a table to estimate the slope of the tangent line to f at the point P(0, 3).…

A: According to question,Given Function,fx = 3-5x3P0, 3Qx, fx

Q: 1. The simplified form of the logarithmic expression log6 + 2log3 is a. log36 b. log54 c. log81 d.…

A:

Q: Evaluate 3+x lim,¬4¹ (x-4)(x+2) 01 0 0 8-8 O +∞

A: The given limit is: limx→4+3+xx-4x+2

Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

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Q: 5 Find the coefficient of the given term when the expression is expanded by the binomial theorem. x6…

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 6,    (3, 1)

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Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

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Q: If f(x) dx = 3 and g(x)dx = −2, then which of the following must be true? I. f(x) > g(x) for all a ≤…

A:

Q: B)Solve the differential equation **

A: Here, the given DE is: dydx=x6+4yx⇒dydx=x5+4xy⇒dydx-4xy=x5 which is a linear DE with P(x)=-4x&…

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: dy Given y³ In x + x¹e³y = sin-¹(xy), compute da

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: Solution given below

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) (x(t), y(t),…

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Q: sin20 B)Evaluate the integrals: i) f/20 rdrde ii) f/2/2fix z² siny dz dy dx. sinx tt)

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Q: Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then…

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Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…

Q: Find the producers' surplus at a price level of p = $56 for the price-supply equation below. p=…

A:

Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

A:

Q: Q2A)Matrix 4 = [3] find Eigen values of 4².

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Q: The graph of the function y = f(x + 76) can be obtained from the graph of y = f(x) by one of the…

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Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve.

A: answer is in next step . please give a like !!

Q: -4 -3 -2 -1 0 3 4 1 2 Write an interval to describe the set of values shown above.

A:

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: The given polar curve,    r=sinθ+3cosθ, θ=π2

Q: Use the Inverse Function Theorem to find (h-¹)' (7) given that h(x)=√10x + 9. Note that h(4) = 7.…

A: