2 0 SOLVE STEP BY STEP IN DIGITAL FORMAT Determine the equation of the plane that contains the points P(1,2,-3), B(2,3,1) and C(0,-2,1).

Q: 32. f(cotx - tan x)² dx

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Q: Find the derivative of y with respect to x, t, or θ, as appropriate. 1. y = ln 3x^2 2. y = ln x/x^5…

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Q: For the following vector v, find llull, the unit vector with the same direction angle as v. v=-i +…

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Q: Consider F and C below. F(x, y, z) = yzexzi + exzj + xyezk, C: r(t) = (t² + 5)i + (t² − 1)j + (t² -…

A: And  ,

Q: Find the requested function value. f(x)= X-9 4 Find (gof)(33). O A. 29 — 2 g(x) = 2x + 1 OB. 402 O…

A: Find the (g.f)(33)

Q: A Find the volume of the portion of the solid sphere p ≤ 5 that lies between the cones and =

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Q: From a 24-inch by 24-inch piece of metal, squares are cut out of the four corners so that the sides…

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Q: Let f(x, y) = 9x + 7y, r(t) = (t³,t²). Use the Chain Rule to calculate f (r(t)) at the value t = −4.…

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

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Q: Verify the following identity: sin(a+B) + sin(a - B) = 2sinacosß Use the paperclip button be

A: We use the sum to product formulas to prove the given identity.

Q: y = (1+tan ¹ X) ²³

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Q: For the pair of functions, find the indicated domain. f(x) = x² − 36, g(x) = 2x + 3 Find the domain…

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Q: Assuming continuous compounding, what will it cost to buy a $40 item in 5 years at the following…

A: We have to find the price of item after 5 year due to inflation.

Q: 3. Use logarithmic differentiation to find the derivative of the following. If must be solved for y…

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Q: Multiple choice. Part B. d dx (A) log x (D) ln x -[In x] -1 (B) x (E) None of the above. (C) x

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Q: Solve the given differential equation by undetermined coefficien y" + y = 8x sin(x) y(x) = =

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Q: Find the point (s) on the graph of y= 4-x2 closest to the point (0,2). smetch is required.

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Q: Use a computer algebra system u = (4.5, -7.5, 4) v = (7, 8.5, 4) u xv= u x V u x v|| ||

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Q: To find the vertical component of a vector (a. b) the following formula can be used: cos@=; True O…

A: we need to find the given statement is TRUE or FALSE.

Q: locate the absolute extrema of the function on the closed interval f(x)=x^3-3/2(x^2),[-4,4]

A: We have given function f(x)=x^3-3/2(x^2),[-4,4]

Q: Find the angle between the vectors, approximate your answer to the nearest tenth: v= -5i - 3j; w= 2i…

A: we have given vector v=-5i-3j and w=2i-4jwe need to find the angle between these vectors.

Q: A graph of y=f(x) follows. No formula for f is given. Graph the given equation. Q y=-2f(x + 1)-3 O…

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Q: Which of the following vectors represent a +b, if a and b are given as below? b a) Ob) d) a

A: The graph of the vectors  and  are given.We have to sketch the graph of the vector .

Q: Find the exact value of 2sin75°cos75°. O-√3 2 0 - 12/10 1/2 019/10 اس

A: Given2 sin750 cos750

Q: The graph below is the function f(x) 1 0.75 0.5- 0.25 A -0.25- -0.5- -0.75- -1- 2 = f(2) is defined.…

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Q: Caffeine has a half-life of 40 minutes. Determine roughly how much time must pass until 6% of the…

A: Law of radioactive decay

Q: x x +4 Give exact answers (not decimal approximations). Let f(x) = Find the values of a where f'(x)…

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Q: a. Write this series in “expanded form.” b. What are the terms a1000 and a1001? Calculate the…

A: The series is given as ,

Q: a) Estimate the value of the country's exports in 2009 and 2018. b) What is the doubling time for…

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Q: Write the expression as the sine, cosine, or tangent of an angle. cos() cos(+)-sin() sin() 5 Need…

A: we have given expression

Q: Evaluate the iterated integral. ग π/2 л/2 Jπ/4 cos (2x + y) dy dx

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Q: Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = 25 2 X A.…

A: To Check :  is a even function or odd function or neither

Q: Given that f(x)=x²-10 and g(x)=20-x, find (f - g)(6), if it exists. Select the correct choice below…

A: The given functions are  and .We have to find the value of .

Q: Find each of the following for f(x) = 3x² - 5x+5. (a) f(x + h) (b) f(x+h)-f(x) f(x+h)-f(x) (c) h (a)…

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Q: k 21. Find k so that (2y 2 1) dy = 10

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Q: Multiple choice. Part F. If y = x (A) sin x (B) 95! ,95 95 d' y 95 100! 5 (C) -X 5! 2 dx (D) 0 (E)…

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Q: 39. So In x x2 dx

A: ∫ lnx / x  limit 0 to 1

Q: Solve the differential equation by variation of parameters. 2y" - 4y + 4y = ex sec x y(x) =

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Q: Consider the function f(x) = -3x² + 8x - 11. (a) Find all critical numbers c of f. C= (b) The local…

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Q: Calculate the directional derivative of g(x, y, z) = z² - xy + 4y2 in the direction v = = (1,-4, 3)…

A: Given

Q: Using first principles, determine the equation of the tangent line to the curve y= 1/3x^2 when x=-1

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Q: Let P3 have the inner product given by evaluation at -2, -1, 1, and 2. Let po(t) = 1, p₁ (t) = 2t,…

A: The solution is shown in step-2

Q: Find the exact area of the surface obtained by rotating the curve around the x-axis. y=cos(1/2x), 0…

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Q: Find the derivative of the function y = log |6 - x|

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Q: a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth…

A: We have to Determine exponential growth rate k.

Q: Let F(x) = (x − 2)² + 1 tan (x-2) Find lim F(x). x+2+ lim F(x) = x+2+ x < 2 2 ≤ x

A: Given:We are required to find:

Q: Fabric was bought at X-mart, because their price of $4 per square foot was better than Y-mart's…

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Q: ind the length of the curve F(t) = =r(t) = (e cos(‡), e‡ sin(‡), e‡) for 0 ≤ t ≤ 3. rc length =

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Q: A company manufactures cylindrical paint cans with open tops with a volume of 19,000 cubic…

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Q: Let u(x) = sin(x) and v(x) : u'(x) = v'(x) = f' = u'v - uv' v² = x¹6 and f(x) 16 = x = u(x) v(x)

A: Given that   u(x) = sin(x)    v(x) = x16   and f(x) = (u(x))/(v(x))