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Q: Question 14 Which of the following is an equation of the parabola with the following properties: ver...

A:

Q: 6x2 – z+1 1→7 2x2 + 3x - 1 Find the limit, if it exists: (Do not use L'Hospital's rule) lim Note: Gi...

A: limx→76x2-x+12x2+3x-1

Q: y = x², x = 1, y = 0; about the y-axis

A:

Q: Which of the following is not true? (A) - |f(x) dx- J8 (x) dx B) 8 (x) dx C) (x)dx=k (D) O fas(3))dx...

A: some properties of the integration are given, we have to find the not true statement.

Q: Sketch a possible graph of a quadratic function which has two complex roots, a graph that opens dow...

A:  Graph of a quadratic function which has two complex roots, a graph thatopens downwards, and a y int...

Q: Setup the integral that will give the area of the surface generated by revolving the curve f(1) = ov...

A: Follow the procedure given below.

Q: Use the information to answer the question. A student was given x - 1 when x <2 f(x) = 3x when x22 T...

A: Given that: f(x)=x2-1 when x&lt;23x       when x≥2

Q: 04 +C 3lne d0 = 2e (A) True B False 2.

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Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Given: ysin16x=xcos2y Equation of a tangent at point a,b with slope m is defined as  y-b=mx-a

Q: Suppose h(1) = (f(x) + VI) · g(x), f(4) = 3, g(4) = -1, and f'(4) = gʻ(4) = 5. What is h'(4)? Expres...

A: solution:-Given:h(x)=f(x)+x·g(x)f(4)=3g(4)=-1f'(4)=g'(x)=5

Q: Use differentials to approximate the change in cost corresponding to an increase in sales (or produc...

A: Solution ) c = 0.075x2 + 6x + 2  with dx = 1  differentiate with respect to x  dc/dx = 0.075 × 2 x +...

Q: Question Evaluate the following limit using L'Hospital's rule. lim 3 In (x) 15х — 15 Provide an exac...

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Q: A function F is an antiderivative of the function f on an interval I ifLfor all x e 1. (A) F(x) =f (...

A: A function F is an antiderivative of the function f on an interval I if 

Q: 6. Compute the volume of the solid that lies above the paraboloid z = r² + y? and below the half-con...

A: Given: z=x2+y2z=x2+y2

Q: х ах 2(5+x²)4

A:

Q: 94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the...

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Q: nsider the graph of J belov y = f(x) (a) Analyzing the graph, if g(x) = f(x), then is decreasing for...

A: Given query is to find the indicated interval.

Q: Find the following limit. Enter dne if the limit does not exist and fractions should be entered in t...

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Q: (ө-4)d@ (в+5)* 2.

A: SOLUTION-

Q: Question 15 Find the standard equation of the parabola with focus at (0, – 21) and directrix y = 21....

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Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

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Q: dP 16. dt 11-18 Find the solution of the differential equation that satisfies |Pt, P(1) = 2 7.3: 16 ...

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Q: Part 1. Setup the integral that will give the mass of a metal rod that is 1l inches long (orientated...

A: length ofrod = 1 inches density of rod ρ=4x lb/in

Q: Determine the force due to hydrostatic pressure on a gate of an 8 ft tank filled with water (62.4 lb...

A:

Q: A scientist places 2222 mg of bacteria in a culture for an experiment and he finds that the mass of ...

A:

Q: Find the focus of the parabola 4x +24 =8y-y².

A: Given: - The parabola is, 4x+24=8y-y2 To find: - The focus of the given parabola.

Q: 23T Does the angle 45 have a compliment? If so, what is its compliment. If not, explain why. Show al...

A: We can find the complement as below.

Q: x²+2 dx x+2

A: We can solve the integral as below.

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: topic - application of derivatives

Q: e' sin 0 dy 8. de 7.3:8 Solve the differential equation y sec 0

A:

Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

Q: QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1....

A: Given: A conical water tank has a radius of 5 cm at the top and 20 cm high.  Water flows into a tank...

Q: (In(x))? 3

A: We have to apply rules of integration to solve the problem

Q: DEvaluate the Riemann sum for f(x) = x- 1, -6<x<4, with five subintervals, taking the sample points ...

A: A function is given that is f(x) = x - 1. We have to find the Riemann sums for f(x) on the interval ...

Q: 1 2(1-z) 3(1--z) dydxdz = 1 0 0

A:

Q: f(–5) = f(4) = 0; f '(-0.5) = 0, f '(x) 0 for x > -0.5 What is the function with those given c...

A: We have to find function.

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded from above by the g...

A:

Q: Find the equation of the line tangent to the graph of f(x)= (In x)2 at x= 3. y%3D (Type your answer ...

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Q: The function e* (x² – 1) is equivalent to the series: Select the correct response: 19 - x³ + -x' + 1...

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Q: Objective: Determine the form of a particular solution for each differential equation. y" – 2y' + y ...

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Q: 17. An open top box has the dimensions as follows: height: x width: (13-2x) length: (17-2x) a.) Writ...

A: Given: height= x width= 13-2x length = 17-2x  

Q: 3. Determine whether the following function is odd or even. a) f(t) = t² + 2t + 2 b) h(x) = 5x7 +1 c...

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Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + Cze3x (2) by eliminati...

A: To find the differential equation.1 whose general solution is y=c1e-2x+c2e3x.2 by eliminating B and ...

Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and bet...

A: Given: y=x3, y=1, x=0 &amp; x=1 From the given curve the bounded region is as shown below: Apply th...

Q: Find the point(s) on the parabola x =y closest to the point (0,3)

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Q: Evaluate the following definite integral: dx = 12

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Q: Calculating Mass from Radial Density. Mass-Density Formula of a Two-Dimensional Circular Object. Giv...

A: Given: m=∫0r2πxρxdx  ...(1) And ρx=6x ; x=6   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 A...

Q: C. Assessment/Application/Outputs (Please refer to DepEd Order No. 31, s. 2020) Direction: Solve the...

A:

Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2). ...

A: