Find the indefinite integral. (Remember to use absolute values where appropriate. Use dx x(In(x?))5

Q: a) Find the arc length of the catenary y = coshx between X 0 and x = In4. b) Graph the functions y =…

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Q: 6 Find the derivative of: 9/x

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Q: L(25 — х?)3/2. |dx

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Q: Evaluate the integral of the following using Miscellaneous Substitution X Sdx 1+x 5.

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Q: H.W: 1. Find the area of the region inside the oval limacon r = 4 +2 cos 0 2. Find the area of the…

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Q: Let f (x) = x(8+6x). Evaluate the definite integral 1 rOF So f (x) dz. (F(1)]* Enter the value of…

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Q: The first step in solving the integral of tan(x)dx/[1-(tanx)^2] is by transforming the tan(x) In the…

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Q: Which of these statements is False? А. (а?)3 — а6 Вв. а?а — а = a' a2 C. a3 = a-1 D. a? + a³ = a°

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Q: A small business's cost to produce I units of a new product is given by C(x) = -0.001x+ 4x +506…

A: Solve the following

Q: For the linear transformation T: R* - R, T(v) = Av, find T(1, 0, 2, 3) and the preimage of (0, 0,…

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Q: Find the volume of the shaded region when revolved about the indicated axis. ... 21 x = /7+ y 14 (А…

A: This question is based on application of integration .

Q: y8. |cosx-sinx|dx 16. J-

A: To integrate.

Q: Does the following graph represent a function that satisfies the following condition f0) = -2, lim…

A: Topic:- calculus

Q: Suppose f(5) = 9 and f'(5) = - 3. An object moves along the curve y – 3x? f(x) – 5x = 649. For an…

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Q: 3 Dax has a banner that is 7 feet long and 5 feet wide. He wants to make a new banner that has the…

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: The total cost (in dollars) of producing a golf clubs per day is given by the formula C(x) = 450 +…

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Q: 2.4

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Q: H(t) models the rate of hoverboard sales, in hoverboards per day, from an electronics store during…

A: H(t) is the rate of hoverboard sales, in hoverboards per day. To get the exact number of sales over…

Q: Given the Total Cost function, TC = 10 + 5Q?, find the marginal cost function, MC when Q = 10. [2]

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +9 1 lim tto 9t2 + 10' 7t |(?,?)

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Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 50…

A: The speed of ripple that travels outward = 50 cm/s

Q: sin sin ³ O de *と

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Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

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Q: Use local linear approximation to estimate (31.62)4.

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Q: Question :44 A 240 mL pharmaceutical liquid suspension dosage form is settling at a rate of 4.8…

A: This is a problem related to divination concept. Based on the given rate and volume we will…

Q: aph the function g(x) = x* + 2, if x < 1 Is the function continuous? Explain. x +2, if x 2 1

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Q: Using the graph of two functions f(x) and g(x) on the right, find: a.f(g(2)) b. g(f(−1)) c.…

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Q: Evaluate the indicated partial derivatives. z = 6a?y – 4a°y dz dz ду

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Q: If f(x) = 6(a-3/+7), find f'(2). Find f'(5).

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Q: Evaluate each of the following definite integrals 4 |x- 3| dx (x2 - х) dx х2 +x+1

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti +t°j dt

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Q: Differentiability of f(r, y) at point (a, b) Let f: R R be a function given by if (r. y) (0.0). f(r,…

A: Given

Q: Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: To calculate ddtr1t·r2t and ddtr1t×r2t first by differentiating the product directly and then by…

Q: dy 1. Find for the following: - dr f. 4x² - 9y² = 36 g. -+-=1 X y ... h. 3x°y+2xy² = 4 i. (3 - 2x) =…

A: f.4x2-9y2=36Differentiate w.r.t.x4×2x-9×2ydydx=08x-18ydydx=08x=18ydydxDivide18y on both…

Q: Use Green's Theorem to evaluate the integral (2x? – y)dx + 4xdy where C is the circle x? + y² = 9…

A: To evaluate the given integral using green's Theorem.

Q: Let f(x) = 2x + 15 – 7e". Then the equation of the tangent line to the graph of f(x) at the point…

A: We know that equations of tangent line at the point (x1,y1) is given as - ( y - y1 ) = m ( x - x1 ).…

Q: 11r If F(r) and o is the surface (x – 4)2 + y² + z² = 49 oriented 3 outwards, what is the value of…

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Q: Sla 1 z dx |(25 – x²)3/2]

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Q: 6) Determine the equation of the tangent line to y = x/x when %3D x = 4.

A: Equation of tangent line

Q: What is the difference between a function and a parametric curve? Make sure to justify your answer.…

A: This is a problem related to function and parametric equation for the same. Based on the general…

Q: 1. Find parametric equation for the line through the point P(3,-4,-1) parallel to the vector v…

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Q: H.W: Which of the sequences {a,„} converge and which diverge: 7 1. a, = 2+ (0.1)" 2. а, n

A: A sequence &lt;an&gt; is converges if limn→∞ an is finite and exists.

Q: Find the area under the given curve. y = Vx +6, from x = 0 to x = 16 The area is (Simplify your…

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Q: To rationalize the denominator of 45 what value should the numerator and denominator be multiplied…

A: We can answer the question as below.

Q: |(sec (x)) dx

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: First I have changed the line integral into double integral with the help of Green's theorem and…

Q: A B E F This is a graph of f'(x), the derivative of f(x). At which of the marked values is: f(x)…

A: f(x) is increasing function . f(x) must be greatest for the largest x .So,  a) F b)f(x) is least for…

Q: Find an equation of the tangent line to the given curve at specified point. (1, 1/4).

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Q: latch the vector field with its graph. F(x, y) = yi -6 5 5 -5+

A: Given: F(x,y)=yi Find: graph of vector field

Q: Q9. Which of these is not the derivative of the function, y = x": A. -½x-1½ B. –0.5x-1Vx-1 C. –0.5 1…

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