Find a function that satisfies the given conditions and sketch its graph. lim f(x)=0, lim f(x) = ∞o, and lim f(x) = ∞ X→±00 X→6 X-6*

Q: 3. The slope of a curve at the point (x, y) is given by 3x²y + 2y. Find the equation of this curve…

A: To find the equation of the curve with given slope

Q: Which of the following shows the simplified function of cscxsin 01 -1 tan x O cotx

A: Topic - Trigonometry We are given, csc x sinπ2-xWe know that,sinπ2-x=cos(x)

Q: given a price-demand function,  p(x) = −7x + 40,  where x is the number of items made and sold and…

A: Given query is to find the revenue function.

Q: Let r(t) = ( −2+²+2, −3e¹, − 3 sin(2t)). Find fr(t)dt (don't include the +C) fr(t)dt = ([ ])+C

A: Topic = Integration

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use ∞ or -00, enter…

A: We need to evaluate the following limit using L'Hopital's Rule limx→∞ex39-x4 L'Hopital's Rule: If…

Q: Please solve using related rates and implicit differentiation: A long ladder 20 feet long is…

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Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: a. f(f(x)) b. g(g(x)) c.…

A: Given query is to find indicated composite function.

Q: Prove that the following differential equation: (1 + x2)y'' + 2xy' - 2y = 0 has the following…

A: To prove that y is solution of a differential equation then we just substitute the value of y' and…

Q: Find lim f(x) and lim f(x) for the given function and value of c. X→c* X→C |x + 4 X+4 f(x) = (x +…

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Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

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Q: g(x) = 2 x²_4 3x²+x-4

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Q: 1. A block of wood 10 ft from the bottom of a long, very smooth inclined board slides downward (from…

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Q: Find the second derivative of the vector-valued function r(t) = (7t + 5 sin(t))i + (4t + 5 cos(t))j…

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Q: For a given commodity and pure competition, the number of units produced and the price per unit are…

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Q: Solve for x in the triangle. Round your answer to the nearest tenth. 40°

A: For angle 40° Base= 6 and hypotenuse= x

Q: Let R be the region in the first quadrant bounded by y = y = √3x. Represent this region in polar…

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Q: If g(x) = 5 +x+2e², find g-¹(7) = 1

A: NOTE: Refresh your page if you can't see any equations. . here we need to solve this equation using…

Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

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Q: 5. What is the length of latus rectum of a parabola with an equation 3x2 + 8y = 0?

A: Note: as per our answering guidelines we should solve only one question. So i am solving one…

Q: questions:the solution sets is a)f(x)0 d)f(x) ≥0

A: We can find solution sets.

Q: limx→3 0 4 01 O O 3-x 4-√√²+7 O None of the above

A: We need to find: limx→3 3-x4-x2+7

Q: Find the indefinite integral. (USE INTEGRATION BY PART ONLY-. Use C for the constant of…

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Q: Evaluate limx→-1+ f(x) if ƒ(x): = x +4 -x+ 1 x -1

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Q: Write the equation of the line in slope-intercept form that passes thorugh (-3,4) and (5,4). Then…

A: Horizontal axis is x-axis and vertical axis is y-axis

Q: A rectangular box has a width of 7 cm and a length of 1 cm. The volume of the box is decreasing at a…

A: Topic = Volume

Q: limx→0 0 O -4 2 -8 2(x-2)² +4(x-2) I None of the above =

A: To evaluate the limit.

Q: Let r(t) (4t+2, -4e¹, 2e #¹). Find the line (L) tangent to r(t) at t = 3. L: (x, y, z) = = +t

A: Given vector:- r→t=4t+2,-4et,2e-4t

Q: Find the derivative of the function at Po in the direction of f(x,y,z) = xy + yz + zx, Po(3,-3,1),…

A: Topic:- application of derivatives

Q: f(x)=x+3e^x find (f^-1)' (3)

A: f(x)=x+3ex

Q: What are the zeros of the function f(x) = 2 - 4sinx? Ox-+2rn and x- Ox-7+ O 5x 6 Ox-+2rn and x- 3…

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Q: Question 1 2³-8 limx→2 2+2-8 =

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Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: |s sin³ 50 √ cos 50 de

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Q: Find the indefinite integral. (Note:USE INTEGRATION BY PART ONLY-Use C for the constant of…

A: We have to find the indefinite integral ∫13 arctan x dx.   Integration by part: ∫u·v dx = u·∫v dx -…

Q: d) Compute the angle in Degrees between 3 and 4

A: We have to find angle between vector V3 and V4

Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

A: giveny=4x2-x3

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

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Q: Suppose that a fourth order differential equation has a solution y = -6e5* sin(x). (a) Find such a…

A: (b) General solution for this differential equation is

Q: What is the integrating factor of (1 + cos x) y' = sin x (sin x + sin xcosx sin x 0 1 + cos x CSC X…

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Q: Write the equation x+5y=20 in the slope-intercept form, then use the slope and the intercept to…

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Q: C 1(10) QU

A: Given query is to find the value of the Indicated function.

Q: A population grows according to an exponential (Malthusian) growth model. The initial population is…

A: Growth model :-Pn=P01+rnr=growth rate Here r=0.3 P0=5⇒Pn=51+0.3n⇒Pn=51.3n

Q: Chapter 6 11) Find the product (3 + 3x) (-4 + 3x)

A: Topic = Algebra As per guidelines , At a time only one question can be answered. Please repost for…

Q: Find the area of the shaded region: 6 y=x²-15 x 64 -128 128 2 20 10 -10 -20- 2 4 y=x 6 X 0

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Q: The graph of y = g(x), shown below, consists of straight lines and a semicircle. Using known are…

A: We can evaluate the definite integral .

Q: Find the slope of y= 1-x x² +1 at x = -4.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The traffic flow rate past a certain point on a a highway is q(t) = 1300 + 2000t - 420t2 where t is…

A: Topic = Algebra

Q: lim-→-1 O 0 0-2 0 - 12/1 x²+3-2 x+1 O None of the above =

A: To evaluate the following limit.limx→-1 x2+3-2x+1

Q: Suppose that f(x, y) = x² − xy + y² – 5x + 5y with D = {(x, y) | 0 ≤ y ≤ x ≤ 5}. - 1. The critical…

A: need to find out the critical point point of absolute maximum, absolute minimum.

Q: Find a formula for the function graphed. 2) -8-6-4-2 2 4 6 8 x

A: This is a graph of a piece wise function.see below the equation of function