4.2.1 4.2.2 x-x²+3x²-10x+8 x²-x²-4 [sec²()dx. dx.

Q: Determine the interval(s) for which the function shown below is decreasing. Provide your answer…

A: Given query is to find the interval where function is decreasing.

Q: 1. If an arrow is shot upward on the moon with a velocity of 58 m/s, its height in meters after t…

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Q: lim x→0 sin 3x sin 4x sin 4x sin 6x ||

A: We need to find  out the limit.

Q: domain is all real numbers. global maximum at t = global minimum at t = (Enter none if there is no…

A: Topic:- application of derivatives

Q: 1. Compute the integrals. a. L² see 0 sec¹r tan³ r dr

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Q: -1 B) 0 C 1 Suppose f and g are the integrating factors for xy' + 2y = x and xy' - 2y = x,…

A: We need to find out the result after the multiplication of the integrating factors of both the…

Q: Solve for a in terms of k. log₂x + log₂ (x + 10) = k.

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Q: The curves →r1(t)=⟨5t,t5,4t4⟩ and →r2(t)=⟨sin(5t),sin(t),t⟩ intersect at the origin. Find the acute…

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Q: Fond Particular Solution of the Lifferential equation 13 Y = 6 (²53x - 8 1 Y"+ 4y¹ + Yo 85in3x y (0]…

A: We have to find the particular solution of the differential equation y'' + 4y' + 13y = 6 cos3x - 8…

Q: √x+2-2 lim x→2 x-2 ||

A: Given, limx→2x+2-2x-2

Q: Evaluate the function for f(x)=x+3 and g(x)=x²-2 (8-9)(0) (f-9)(0)5

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: find f(-2). x+5 if - 3 ≤ x 4

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Q: 3 For the equation +7x²y = 0, y(0) = ², the value of y(1) is dx

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Q: Find the derivative of y by implicit differentiation 2x2+ x + xy = 1  *Note: please use…

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Q: 2. Compute the limits analytically or answer "DNE". State your strategy. cos(3x) cos(2x) cos(5x) a)…

A: See this solution in below.

Q: Given (13, 8) and (x,- 7), find all x such that the distance between these two points is 17.…

A: given points(13,8) and (x,-7)

Q: (A) True (B) False The differential equation f(x) dx + g(y)dy = 0 is exact.

A: We know that a differential equation of the form  Mx, y dx + Nx, y dy = 0 is exact if and only if…

Q: A tank initially contains salt in the pores if inert material and 10 gallons of fresh water. The…

A: Concept: The fresh water is 10 gallons  Salt dissolves at the rate per minute 2 times the difference…

Q: Which of the following functions has a graph that is thegraph of y = 2x shifted down 3 units?(a) y =…

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Q: A -3 (в -2 2 3 The non-zero value of n for which the differential equation become exact differential…

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Q: 5. Compute and simplify the difference quotient f(x) = 3x² + 7x-2 f(x+h)-f(x) h h 0.

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Q: The point Q(-7,7) is translated by T[23] and then receded with the y=-x axis then the resulting…

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Q: 4 c) f₁ 3 f(x) dx = d) fº | 5ƒ(x) | dx =

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Q: Given the following functions, compute the composition (fog)(x). f(x) = 2x+8 g(x) = 3x - 6 Simplify…

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Q: Explain the meaning of lim f(x) = 10. X-18

A: See this explanations in below of given question.

Q: T Use Trapezoid rule to approximate the value of [sin xdx. Use four 0 subintervals. Express your…

A: Topic:- application of integration

Q: Find the derivative of the vector function r(t) = ln(14-t²)i + √12 + tj - 4e5tk r' (t) = (

A: Given data÷ Find the derivative of vector function.

Q: Find the volume of the solid obtained by rotating the region enclosed by about the line y = 0 using…

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Q: Find the solution of the given initial value problem. y"" + 4y' = t; y(0) = y'(0) = 0, y"(0) = 1…

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Q: If the amount of capital that a company has at time t is f(t), then the derivative, f'(t) is called…

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Q: For items 17-19, suppose f, g, h are differentiable functions at a=3 with the given function values.…

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Q: A tank initially contains salt in the pores if inert material and 10 gallons of fresh water. The…

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Q: 2. (a) (c) 1 x-5x+6 Evaluate - S In x-31 - In/x-2| + C In x-3| + In|x-2| + C -dx (b) (d)…

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Q: x + 5 lim x 5 x² - 25

A: Given; Limx-5(x+5)/(x2-25).

Q: A) 3.14 B) 3.19 C) 3.23 D π dT Consider the differential equation x dx of T (2) ? +T=e* with T(0) =…

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Q: #2

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Q: Evaluate the indefinite integral. [e²² 2x dx = F +C.

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Q: An electrical circuit switches instantaneously from a 39 volt battery to a 77 volt battery 9 seconds…

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Q: A slice of Ampalaya cake is removed from an oven at 210 °F and left to cool at room temperature,…

A: As we know that; The solution of the Newton's law of cooling differential equation is:…

Q: . Find the arc length of the cycloid defined by the parametric equations x = 0 -sin and y = 1- cos…

A: This question can be solved using the concept of length of arcs using integrals.

Q: Question 2 The command integral() cannot be used for. Definite Indefinite Particular Any integrals.…

A: Solution ) command integral () cannot used for  Indefinite integrals  Explanation is given  If we…

Q: 5. How many 50 lb. bags of 'Applaud' perennial ryegrass are needed to overseed a soccer complex that…

A: Pure Live Seed (PLS) indicates live seed. It is the percentage of seeds having the potential to…

Q: A ball is thrown upward from the roof of a school, 16 m high, with an initial velocity of 20 m/s.…

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Q: dy dx + ² = y² dx x (Bernoulli's equation)

A: Solution

Q: Please show your answer to 4 decimal places. Suppose that f(x, y) = e 2²-2y²-2x-y then the maximum…

A: See this solution in below.

Q: For the function f(x, y) = √25 – x² - y², find the equation of the - level curve associated with the…

A: Given function:- fx,y=25-x2-y2

Q: 6. Find the linear approximation to f(x) = ² at a = 4.

A: The objective of the question is determine the linear approximation function for given function at…

Q: Solution of the differential equation y cos²x dz y cos5 x ytanx - sinzcos² T y² cos²x = sinºz + c…

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Q: A B Which of the following is the general solution of 2- y secx = y³ tanx ? dx secx+tanx = (secx +…

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