Suppose that a density function is given by the formula 1 38 { 2 15 Find the probability that is between 1 and 6. || f(x) = X T 2 285 X if 0 ≤ x ≤ 4 if 4 ≤ x ≤ 19 otherwise.

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A: Average rate of change of f(x) on x=a and x=b is given by

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Q: Suppose f(0) = -6 and f'(x) ≤8 for all values of x. How large can f(-3) possibly be? Use the…

A: Given that  and By Mean value TheoremFunction continuous over the interval Function differentiable…

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Q: Let f(x) = 2x² + 13x + 15 -7x+5 2x² This function has: 1) A y intercept at the point 2) x intercepts…

A: Let To find the following: (1) y-intercept(s)(2) x-intercept(s)(3) vertical asymptote(3) horizontal…

Q: 4. From the following function determine Domain, Range and graph f(x) 4- x² +2

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Q: (b) 1:16 tan5(x) sec²(x) dx

A: 1621​ or if you have needed in decimal form then you type 0.00617283 round as much you need.…

Q: 6. Find the derivative of the following. *SIMPLIFY your answer: 2x a) f(x) = (√2/² 4x-x 2 b) f(x) =…

A: The given functions (a) (b)

Q: 10 -6 -5 -4 -3 -2 -1 8 4 2 2 -4- -6- -8 -10+ The function graphed above is: Concave up on the…

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Q: If log₂ (5x + 5) = 2, then x = You may enter the exact value or round to 4 decimal places.

A:

Q: Problem #1: The Doyle Log Rule is one of several methods used to estimate the lumber yield of a log…

A: The given function is where d is diameter and length is L.Here, L=12 and d=22

Q: Find the derivative of the position vector r(t) = -eti +(t – t²)j +In(t)k Find the tangent vector at…

A: Given: To Find: (i) To find the derivative of the position vector.(ii) To find the tangent vector at…

Q: Find the cross and v= product uxv² where û =8i +25 - 2k (-3,-1,8)

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Q: y = f(x) N The figure above shows the graph of the twice-differentiable function f and the line…

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Q: f(x) = 2 tan x Ꮖ

A: f(x)=2tan⁡xx

Q: 2. The domain of the function is y 4 2 -4-2 0 2 4 x

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Q: 3. Suppose that a is a double root of Ak+ak-1-1+...+ a₁λ + ao = 0. Prove that the sequence (yn)n =…

A: Explained in detail in the below.Explanation:Given that, α is a double root of λk + ak−1 λk−1 +...+…

Q: k+5 The power series Exei i + 5 Σ =1 Select one: a. -1<x<1 O b. -1≤x≤1 O c. -1<x<1 O d. x is any…

A: The given power series .The objective is to find the value of  for which the series converges.

Q: Eliminate the parameter & to fcys for - form x= [2(t) = 51² | gets = 2 + 2t find a Cartesian…

A: To eliminate the parameter t to find a Cartesian equation in the form  for the parametric equations.

Q: Find Maclaurin's series f(x) = √²x.

A: The objective of this question is to find the Maclaurin series for the function f(x) = sqrt(2x). The…

Q: A company's total sales (in millions of dollars) t months from now are given by S(t) = 0.03t³ +0.5t²…

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Q: Find an equation of the tangent line at x = a. 2 y=x +4; a=4 O A. y 8x-24 OB. y 4x-12 OC. y=8x-12…

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Q: Evaluate the integral or state that it diverges. Ĵ 0 (3v) 1+9v² 30 tan -dv

A: The given integral .The objective is to find the integral value.Formulas used:

Q: Solve the following Calc 3

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Q: Suppose that the Wronskian of y₁ and y2 equals e¹2x, and y₁ = ex. Find y2 if we also know that y2(0)…

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Q: Let f(x) = 3x² + 17x + 20 2x² - 1x - 3 This function has: 1) A y intercept at the point 2) x…

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Q: Please aolve

A: The given limit does not exist.Explanation:

Q: find the local maximum value of the function xy-x^2-y^2-2x-2y+4

A: The given function

Q: Find the derivative of the function g(x): = ex 4x - 1

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Q: ܘ 34.

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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A: The only correct options are:   Option a, c and d. else all options are…

Q: Solve. log6(q) = -7 q

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Q: Help evaluate the following integrals please

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Q: te √e³x Evaluate 3x cos 4x dx.

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Q: Determine the interval of convergence of the following power series (−1)n—¹ n=0 (2n+1)!x²n+1 ΣΠΩ

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Q: Find all critical points of the function f(x) = x−² − x−³.

A: f(x)=x−2−x−3Using the power Ruleddxxn=nxn−1

Q: f'(x) = Let f(x)= = I cos ³

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Q: a. A(x) = 2tdt b. A(x) = f*₂2tdt

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Q: Find the equation of the tangent line to y = 7e* at x = 8. (Use symbolic notation and fractions…

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Q: Which of the following is the tangent plane to z = 2x² + y² at the point (1, 1, 3)? z = 4x + 2y z =…

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Q: Often the tricky part of beginning to evaluate an integral is deciding which technique(s) to use. In…

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Q: The numbers of polio cases in the world are shown in the table for various years. Year Number of…

A: a) Exponential b)  f(t) = 3634.2951 (0.7423) x c) Predicted number of polio cases in 2016 = 80  d) t…

Q: The equation defines an ellipse with center ( 9x² 18x + 4y² + 8y = 23 - and the minor axis has…

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Q: 1. We're going to use the Ratio Test to figure out whether the series An= (a) First, write…

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Q: Graph the set of points of continuity for the following function: f(x, y) = ln(-5x - 6y) 10 9 8 7 6…

A: The given function is

Q: 2 Let f(u)=√ and g(x)=u=3+9x². Find (fog) (3). (fog)'(3)= (Type an exact answer.)

A: We need to find out the derivative of the composite function.

Q: The area of a circular oil slick expands at a rate of 10 m2 /min. Help see how fast is the radius…

A: The area of a circular oil slick expands at a rate of 10 m2 /min.To determine the rate at which the…

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Q: r(t) = (t, cos(at), sin(at))

A: r(t) = &lt;t, cos(at), sin(at)&gt;

Q: find dy/dx for: y = sqrt(6+sec(pix^2))

A: The objective of the question is to find the derivative of the function y = sqrt(6 + sec(pi * x^2))…