Differentiate the function. h'(x) = = h(x) = (x − 2)(2x + 1)

Q: If a loading ramp is placed next to a truck, at a height of 7 feet, and the inclined portion of the…

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Q: Consider the differential equation x²y" - 7xy' +12y = 0; x², x6, (0, ∞0). Verify that the given…

A: Given differential equation isx2 y" -7xy' +12y= 0 ; x2 , x6 ,(0, inf)

Q: dy Differentiate implicitly to find Then find the slope of the curve at the given point. dx…

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Q: In each of the following problems [8]-[9]: [8] [9] (a) find all equilibrium solutions of the…

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Q: Determine if each point P is on the lin (x, y] [3, 1] + −2, 5). a) P(-1, 11) b) P(9,-15 ANO 11

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Q: Peter has saved $320 per month for the last 8 years in savings account earning 6.1% compounded…

A: To find interest earned?

Q: Use spherical coordinates. Evaluate y² dv, where E is the solid hemisphere x² + y² + z² ≤ 4, y ≥ 0.…

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Q: 27. 4x² - 20 S (2x + 5)³ dx

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

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Q: Express the integral U f(x, y, z) dV as an iterated integral in six different ways, where E is the…

A: Given that, y=x2z=0y+4z=16  using, z =0;y=16;Thus, we have the range of variables as follows;

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

A: Given that circle is a unit circle.

Q: Find an equation of the plane tangent to the following surface at the given point. z = 5-3x²-3y²;…

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Q: 6. A coin is thrown upward from a bridge and the position of the bridge is given by s(t) = 96 - 16t²…

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Q: Complete the tasks below to determine if g(x) = a) Verify that lim g(x) exists. x→1 b) Is g(x)…

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Q: Find the general solution of the given second-order differential equation. 2y" - 5y' + 6y=0 y(x) =

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Q: (1)x= y + 3z = 15 Solve the following system of equations: (2) -y+ z = 6 (3) Z=1

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Q: Find f such that f'(x) = 4x-5, f(4) = 0. f(x) =

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Q: Write both the vector and parametric equations of the line that goes through the points A(2,3) and…

A: To write both the vector and parametric equations of the line that goes through the points  and .

Q: Find the distance between the skew lines with parametric equations…

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Q: Find the equation of the tangent line to the curve y = 2 ln(x³ – 63) at the point (4,0).

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Q: Find the first partial derivatives for f(x,y) = x cos (xy). of дх of dy = 11

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Q: 10. Consider the following vectors a = 1+ 41 - 2k and b =-] + 2k a) Calculate a . b b) Calculate a ×…

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Q: Solve the given initial-value problem. d²y d8² y(0) = + y = 0, y(π/3) = 0, y'(π/3) = 4

A: Here,  We know that, for the homogeneous 2nd order equation of the form  , the characteristic root…

Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

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Q: MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Archaeologists used pieces of burned wood, or charcoal,…

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Q: The annual net income of a company for the period 2007–2011 could be approximated by P(t) = 1.6t2 −…

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Q: A differential equation is: A. any equation involving a differentiable function. B. any equation…

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Q: valuate the line integral, where C is the given space curve. Ic (x² + y² + z²) ds, C: x = t, y =…

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) =…

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Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

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Q: 8) A runner was training for a 21 mile long race. The distance D (in miles) in function of time t…

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Q: Find the volume of the region bounded above by the paraboloid z = 3x² + 2y² and below by the square…

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Q: (e) y = e5x²+7x-13 (f) y = ln (1 − 5x² + x³) -

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Q: Find the derivative of y = 5.20 - x². dy dx - J

A: The Sum/Difference Rule:The Power Rule:And

Q: A motorcyclist being monitored by radar accelerates at a constant rate from 0 mph (v(0) = 0) to 50…

A: Initial speed, Final speed, Time of travel, To determine: The distance traveled by the motorcyclist…

Q: Determine if the point (4,-5) lies on the line whose vector equation is [x,y] = [2,1] + t[-1,3]

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Q: dy Given the equation 8 sin 3xy = 7, evaluate. Assume that the dx equation implicitly defines y as a…

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Q: I tried the solutions you did, but it still said that it's incorrect. I don't know what else I could…

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Q: The range of tan¹ (x) is (#,#). O True O False

A: Given that, the range of  is .We have to check whether the statement is true or false.

Q: What is the first derivative of g(x) = ln (4x² + 3x + 2)? Select the correct answer below: O ln (8x…

A: Derivative

Q: Solve the following system of equations (1) 4x+y-2z= -29 (2) y- 5z = -8 (3) Z = -1

A: Substitute  into the equation:

Q: f(x) = x²e² a) Determine the intervals on which f is concave up and concave down. f is concave up…

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Q: Find the derivative of f(x) = x³ + 3ª. ƒ'(x) = K

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Q: Fi. Proof ( 1. Show that the local extrema of f(x, y) = x³+y³-6xy is-8.

A: Given function

Q: Differentiate the following function. F(x) = (²x)¹ F'(x) = =

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Q: Find the volume of the solid generated by revolving the region about the given line. 9) The region…

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Q: arc length of y=((x^4)/4) +(1/(8x^2))from x=1 to 2

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Q: 3.) Evaluate the following limits : a) lim x-2 b) (x²-3x+2) x-2 3-√√x lim- X-4 X-9

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Q: Evaluate the triple integral. SSS y dv, where E = {(x, y, z) 10≤x≤ 9,0 ≤ y ≤ x,x=y≤z<x+y}

A: To evaluate the triple integral.