Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -6 x intercepts at x = 4 and x = 5 y intercept at 7 y = Submit Question

Q: Find the value of the improper integral fox dx 1 + x2 a. πT O b. C. d. -π Not in the list П 2

A: Option (d) is correct π/2 Explanation:Step 1:- Step 2: Step 3: Step 4:

Q: x f(x) g(x) T(X) g'(x) 3 1 9 9 6 7 4 3 3 2 -5 g(x+f(x)), x=3

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The condition of existence of the limit at

Q: For what value of a is the following function continuous at every x? x²-13, x<13 f(x)= 2ax, X≥13…

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Q: (a) Find the extreme values of f(x) = 2x3 + 3x2 - 12x + 1 on the interval (0, 2). (b) If f' (x) =…

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Q: The volume, V cm³, of a sphere is given by 4 V = πr³ where r is its radius. 3 It is given that the…

A: Answer: 640Explanation:

Q: Sketch the region bounded by the curves. Find the exact coordinates of the centroid. Show all your…

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Q: Use the Product Rule to find f'(1) given that f(x)=x³ex

A: f(x)=x3ex

Q: a homeowner wishes to insulate  his 1200 square foot house's attic. The total cost C (r) for r…

A: The homeowner should place 9 inches of insulation in the attic to minimize the total…

Q: graph  linear inequality t &gt;0

A: The objective of the question is to graph the linear inequality t &gt; 0. This inequality represents…

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A: Let x be the side length of base square Let z be the height of the boxThe figure of box

Q: Use linear approximation, i.e. the tangent line, to approximate ^3 root (125.1) as follows:Let f(x)…

A: The value of m is:m=751​And the value of b is:b=310​ The approximate value of 3125.1​ is…

Q: Solve for the variable P to two decimal places. 75,600 = Pe 0.077(6)

A: P=47631.04Explanation:Step 1: Step 2: Step 3: Step 4:

Q: let f(x)=(9x^2 +2) ^4 (-8x^2 +9)^10 find f prime of x

A: The objective of the question is to find the derivative of the function f(x) = (9x^2 + 2)^4 * (-8x^2…

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t³…

A: Ans:Detailed answers in explanation please referAny confusion please ask in clarification will…

Q: Are these lines parallel, -2_2-1 -2 2-1 and -1+3 Explain. -2 10

A: Yes, the given lines are parallel.Explanation:Step 1: Given,…

Q: The area of the region enclosed by the graphs of x = y² and y = √√30 x where y > 0 is: 632 70√5 3

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Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a • b = 3.75877  Explanation:

Q: let F(x) = f^5 and G(x)=(f(x))^5 you also know that a^4 = 11, f(a)=2, f prime of a =11, f prime of…

A: F'(a) = 880 G'(a) = 880Explanation:Detailed explanation:Understanding the FunctionsF(x) = f^5: This…

Q: All solutions of the differential equation  y' = −6 − y4  are decreasing functions.

A: The objective of the question is to determine whether all solutions of the given differential…

Q: Given the given cost function C(x)=8600+640x +0.5x² and the demand function p(x) 2 Find the…

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Q: y = (lnx + C)/x is a solution to the differential equation (x^2)y' + xy = 1 a) Find a solution a…

A: please see the attached solution belowExplanation:Hope it will helps youplease ask if you gets any…

Q: Find the solution of the differential equation d² y 3. +4- dx2 dy dx - 4y = 0 a. y= Ae -3x 2x + Be²x…

A: b. y=Ae32x​+Be−2xExplanation:Step 1:Step 2: Step 3: Step 4:

Q: Find f'(x). f(x)=5x-4ex

A: f′(x)=5exe−1−4exExplanation:

Q: Let f : R → R be a function defined as f(x) = ⌊x⌋, where ⌊x⌋ denotes the greatest integer less than…

A: Greatest Integer function: The greatest integer function is a function that results in the integer…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: The point (1, 2, 3) is in the plane r=(−3,4,0)+t(6,4,−2)+s(1,−4,4).Explanation:Steps and…

Q: 2. Graphing Calculator allowed: A particle moves along a straight line. For 0 ≤ t≤ 5, the velocity…

A: The answer is given as follows:(a): ∣v(t)∣=∣−2+(t2+3t)56​−t3∣=2 solve t from this equation.(b):…

Q: For time t = 0, the velocity of a particle moving along the x-axis is given by v(t) = cos(8e-0.2t).…

A: Given that the velocity of a particle moving x-axis is and initial position at

Q: Problem #4: Suppose that the Hessian matrix of a certain quadratic form f(x, y) is 12 6 H = 6 12 (a)…

A: Please refer below page.If you have any question please feel free to ask.Explanation:

Q: > Next question dy Given the equation below, find dx 9x+2xy + y = 12 dy dx = - 18x7 (4+5x37) 2x45…

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Q: Please review and solve problem 5 part 'a', 'b', 'c', 'd' and explain how the answer was found.…

A: 5a)Domain and Range:The domain of a function represents all possible inputs that the function can…

Q: All solutions of the differential equation  y' = −6 − y4  are decreasing functions.

A: The given differential equation is y' = -6 - y^4. The derivative y' represents the rate of change of…

Q: Sketch the curve represented by the parametric equations, and write the corresponding rectangular…

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Q: Find the derivatives of R(v)=(14v²-3v) 2 H (w) = (6-Sw) Find dy/dx and dx/dy from 6x2-x3y²+4x=0

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Q: Give an example of a divergent alternating series satisfying only Condition (ii) of the Leibniz…

A: ∑n=1∞​(−1)nn+2n​Explanation:Step 1: Step 2: Step 3: Step 4:

Q: help

A: Ans. ) The consumer surplus at the profit maximizing point of monopoly is $16.67. Below is the…

Q: Let S be the paraboloid y = x^2 + z^2. Find a parametric representation for S and its tangent plane…

A: The objective of this question is to find a parametric representation for the given paraboloid S and…

Q: What is the slope of the normal to y = X-2 X+2 *+ at (2, 0)? -4 4

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Q: Two forces, one of 35 pounds and the other 50 pounds, act on the same object. The angle between the…

A: The objective of this question is to find the magnitude of the resultant vector of two forces acting…

Q: A medical laboratory raises its own rabbits. The number of rabbits N(t) available at any time t…

A: (A) The function is discontinuous at t=t2​,t4​,t5​,t7​,t8​(B)limt→t6​​N(t)=5N(t6​)=5(C) Limit…

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: Please find the attached file for details....Thank you....Explanation:

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) 1-8 Inx;…

A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: Find the derivative of f with respect to x of f(x) = In x 12

A: The objective of the question is to find the derivative of the function f(x) = ln(x^12) with respect…

Q: #3: Solve the initial value problem "+2y-63y0, y(0) = y(0) 1, y'(0) = -1

A: Given initial value problem

Q: Determine the Cartesian equation of the plane that has a normal vector (-3, -7, 8) and passes…

A: The Cartesian equation of the plane is:−3x−7y+8z+40=0Explanation:Step 1:The Cartesian equation of a…

Q: What is the slope of the normal to y= x-2 * at (2, 0)? x+2

A: Given a rational function.y=x−2x+2To find: slope of the normal to y=x−2x+2 at (2,0)

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A: The base of the triangle is decreasing at a rate of ≈ 3.012 cm/min.Explanation:Step 1: Given:…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: If you have any doubt ask me comments section Pls like this answer Explanation:

Q: A man with $20,000 to invest decides to diversify his investments by placing $10,000 in an account…

A: The Data:We have two investments:Account 1: $10,000 at 5.2% compounded continuously (graphed as a…

Q: Find f'(x). f(x)=-6 Inx+13x² -7

A: The objective of the question is to find the derivative of the function f(x) = -6 ln(x) + 13x^2 - 7.