Find the open interval(s) where the function is changing as requested. Increasing; y=√√x² + 10

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:…

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Q: ind the limit if it exists. lim (12x+11) elect the correct choice below and, if necessary, fill in…

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Q: The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of…

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Q: Consider the function f(x) = 3x² - 10x +9, 0≤x≤7.

A: f(x)=3x2−10x+9,0≤x≤7

Q: y = = = = ₁ y = 0, 1 ≤x≤ 2 al Find exact coordinates of centrod b) sketcn the region bounded by the…

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Q: If 6 J of work is needed to stretch a spring from 12 cm to 14 cm and another 10 J is needed to…

A: Work = 6jAnother work =10j

Q: S Write an equation for a line parallel to y y = -4x + 4 and passing through the point (4,-2

A: To find the equation of a line parallel to y=−4x+4 and passing through the point (4, -21), you can…

Q: 3 + +++ -2 -3 -4 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: Question 6 Calculate the resultant of the forces shown in the concurrent force system. 6N 40% 30N…

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: Is the series convergent or divergent? If convergent, is it absolutely convergent? cos (πn) e-n COS…

A: Consider the series

Q: Find the derivative of the function. y = sin() + sin (9 x) y'(x) = ||

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Q: Suppose that an airplane flies along the path r₁(t) = (2t, 2t², 10e-t) and a skydiver takes the path…

A: Given that the an airplane flies along the path  and skydiver takes the path  for

Q: Find the indicated trapezoid approximations to the following integral. 18 [9x² 9x dx using n = 2, 4,…

A: Consider the given information.

Q: Consider the following situation. A company purchased computers for each employee and two all-in-…

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Q: Let f(x) = 2x + 3 and g(x) = -3x - 6. Compute the following. (a) (fog)(x) (b) (fog)(9) (c) (gof)(x)…

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Q: Find the value of an investment of $20,000 for 14 years at an annual interest rate of 3.85%…

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Q: X = +²37₁ y = + ²3² Find the values of + that correspones to vizontal vertical tangent lines to the…

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Q: 1. Using the fundamental theorem of calculus part 1, along with properties of the definite integral…

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Q: Given that (fog)(x)=x-8, which are correct rules for f(x) and g(x) that result in this composite…

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Q: Let L denote the left-endpoint sum using n subintervals. Compute the indicated left sum for the…

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Q: The function yo is a particular solution to the specified nonhomogeneous equation. Find the unique…

A: The given differential equation is  The given particular solution is  and initial conditions

Q: Factor each of the operator: SHOW YOUR COMPLETE SOLUTIONS 4.) 2D³-7D² + 2D + 3 5.) D4-9D² 6.) D³ -…

A: 4) 2D3-7D2+2D+35) D4-9D26) D3-3D+2

Q: C T 3 2 1 To find the blue shaded area above, we would calculate: b So f(x) dx Where: 1 2 3 4 f(x) =…

A: We have to use the graph to find the integral substitutes and area  under the graph

Q: Determine the inverse Laplace transform: F(s) = 4/s2 - 5/(s + 1)

A: To determine the inverse Laplace transform.

Q: A large tank is partially filled with 150 gallons of pure water. Brine containing 2 pounds of salt…

A: Let A(t) be the amount of salt at any time t According to Question Rate of pumping in  gal/minRate…

Q: Evaluate the double integral [[ (zy + 2) dA, where D is the set of points contain within the corner…

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Q: Consider the following. Find y'(x). y'(x) = y = X = X x² +9 Find the critical numbers of y(x).…

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Q: A golf ball manufacturer knows the cost associated with various hourly production levels, given…

A: Production cost for golf balls is given as,

Q: Determine the velocity of progress with the given equation: D = 20t + 5/t+1 when t = 4 seconds.

A: We have to determine the velocity of progress with the given equation:  when t = 4 seconds.

Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane x+y=5,…

A: Equation of plane : and equation of cylinder : Find the volume of the region in the first octant…

Q: Find the derivative of the trigonometric function. y = sin((πx)8)

A: y=sin⁡((πx)8)

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. maximum value:…

A: To find the maximum and minimum values of f(x,y)=xy on the ellipse 5x^2+y^2=4, you can use the…

Q: Find the surface area of the surface given by the portion of the paraboloid z=x^2+y^2  that lies…

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Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2…

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Q: 23-28 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and…

A: (a) To find the intervals on which f is increasing or decreasing, we need to analyze the derivative…

Q: Compute the average rate of change of the function on the given interval. g(x) = x³ x on [4, 5] -

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Q: The following data show the number of months patients typically wait on a transplant list before…

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Q: Find the indefinite integral [³√5 + i* di

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Q: Use upper and lower sums to approximate the area of the region using the given number of…

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Q: Suppose that f(2)= -5, g(2) = 2, f '(2) = -4, and g'(2) = 1. Find h'(2). (a) h(x) = 5f(x) 3g(x)…

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Q: = O Trigonometric Identities and Equations Proving an identity using fundamental trigonometric…

A: 1+tan2x

Q: Differentiate the following function to review unit two. a. b. C. d. 11 11 y = ²+1 4 - 3t² + 2 F(x)…

A: y=t2+1t4−3t2+2Take derivative.y′=ddt(t2+1t4−3t2+2)Use the quotient rule for the derivative:…

Q: The odds on (i.e. odds against) TripleTreat winning the Kentucky Derby are 7 to 2. This means the…

A: The odds on (i.e. odds against) TripleTreat winning the Kentucky Derby are 7 to 2.

Q: y = f(g(x)) 1 x + 19 y= U = u = g(x) y = f(u) y = u ¹/2

A: y=f(g(x))u=g(x)y=f(u)y=1x+19u=◻y=u−1/2

Q: y = xer

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Q: The number of books checked out from the library from 25 students are as follows: 0; 0; 0; 2; 2; 3;…

A: Consider the data 0,0,0,2,2,3,3,4,4,5,5,6,7,7,8,8,8,8,10,10,11,11,12,12

Q: If y = 5x + 8 find 8' X dy dx at x = 1.

A: y=5x+8/x8

Q: -3x If h (x) = ln(x + 4 + e−³ª), then h′ (0) =? 01/10 O nonexistent 0 210 210

A: This is question of differentiationHere function given We have to differentiate it and put value…

Q: 1. If y2 = 10x, then A. - 5 2xy 1 C. -2232 2x d² y dx2 = B. D. - 1 5x 2y 5xy 2

A: Given,