Find the period for the graph y = 3T 3T 4 12 T 3 2 ㅠ 3 cot 3x + 품

Q: Use the formula for the future value of an ordinary annuity to solve for n when A=6000 the monthly…

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Q: Give some examples atleast three where basic comparison test fails . Also investigate convergence of…

A: Given : we will given the three example where the basic camparison test fails.

Q: 3 1 21 0 0 25110 3 7 2 2 -2 6 13 5 -4 10 10 30-4 01-10 2 0001-2 0 0 0 0 0 (a) Find the rank and…

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Q: Medium. Answer any two questions. 1. Find all three critical points for the function: f(x, y) = x²y…

A: The given equation is;  f(x,y)=x2y-xy+3y2

Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: (c) f(x) > 0 The solution set is (-2, 0) U (4, 00) (d) f(x) ≥ 0 The solution set is 10.01 (0,0)…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: 3. Find the equation of the plane containing both the point (1, 2, 3) and the line r(t) = (t, 2t+1,…

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Q: 3. - 1

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Q: A company is planning to purchase a machine that will cost $42,000 with a six-year life and no…

A: Here, note that, annual Cash flows = Net income + Depreciation…

Q: Use the graph below to determine the values of x at which the function is not continuous. -10 x = 4²…

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Q: A woman is on a lake in a rowboat located 1 mi from the closest point P of a straight shoreline (see…

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Q: (c) (i) Show that the equation (3x²y²-10xy²)dx + (2x³y-10x²y)dy = 0 is an exact equation. (ii) Then,…

A: We need to show that the given differential equation is exact and also we need to find out the…

Q: Solve the differential equation. dr t In(t)r + r = 9tet

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Q: ind the volume generated by revolving the area 1 unded by y = 2 x³ + 15x² + 56x Round the answer to…

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Q: 5) Evaluate the given expression without the aid of a calculator tan[arcsin( +1 x+ 6 --)]

A: We have to evaluate the given expression without the aid of a calculator.

Q: - y Sinx + Cosh zy=0 -Coshzy di Sinx = - dx ·coshzy dx dy Sinx+ coshzy dx =0 ليه Sinx = -co + dx…

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Q: ∞ A function is a probability density function if it satisfies the following definition: 1: f(t)dt =…

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Q: 9. Estimate the value of the convergent series 8 k=1 (-1)^² k! + 2k with an absolute error less than…

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Q: Solve the initial-value problem for x as a function of t . (2t³ − 2t² + t − 1) 12, x(2) = 0 dx dt =

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Q: 9. Prove: csc(x)-csc(x)cos² (x) = sin(x)

A: To prove: csc(x)-csc(x)cos2(x)=sin(x) Note that, sin2(x)+cos2(x)=1

Q: A hydraulic cylinder on an industrial machine pushes a steel block a distance of x feet (0 ≤ x ≤ 6),…

A: We have to find work done in 1st question and no of days in 2nd question.

Q: Explain why S is not a basis for P₂. S = {1, 6x, -2 + x²,4x} O S is linearly dependent. OS does not…

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Q: If f(x) = x² + 2x and g(x) Answer 11 X , find f(g(t)). f(g(t)) =

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Q: if f(4)=2 and f'(4)=2/5, use the formula (f-1)'(x)=1/(f'(f-1(x))) to find (f-1)'(2)

A: If f is an invertible function and if f(a)=b, then f-1(b)=a.

Q: ve the following: y' - x³y² = 4x³, y(0) 4x³, y(0) = 2.

A: We will solve the differential equation

Q: 20. Find the area of the region outside the circle r = 3 and inside the circle r = 6 cos 0. -2 0 -2-

A: Given curves are r=3 and r = 6cosθ  At the point of intersection , we have…

Q: Sugar is poured into a conical tank at the rate of 15cm3/sec whose bottom radius is always quarter…

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Q: Finals - Research All Formula in Integral Calculus.

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Q: 1. a) Use appropriate math terminology, from the unit, to describe the transformations that would…

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Q: The cost of producing 420 calculators is $2320. Producing 580 calculators would cost $3120. Step 1…

A: The cost of producing 420 calculators is $2320. Producing 580 calculators would cost $3120. To find…

Q: ∞ Σ (-1)kk sin k=1 Let ak> 0 represent the magnitude of the terms of the given series. Identify and…

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Q: gral Izyds xy ds ere C is the spiral r = e from 0 to 0 = 2π. =

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Q: ) // Show that y + y = 0, given that y = 2 sin x + 3 cos.x

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Q: 18. Use a Taylor series to approximate ·√√² e- -2x² dx. Retain as many terms as needed to ensure the…

A: We have to solve ∫02e-2x2dx   by  using Taylor series            since,  we know that…

Q: K If f(x) = x² + 7x and g(x) Answer = 51 find g(f(n)). g(f(n)) IL

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Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

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Q: You are a corporate attorney who earns $300 for each hour you work. You want a vegan poutine. The…

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Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: This question can be solved using the concept of graph of functions. We need to find solution set…

Q: The circle given by the equation x2+y²+ax+by+c=0 passes through the points ( (-1,7) and (5,-1).…

A: The solution is given below

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: Evaluate the following integrals [ (2x + 4)dx x2 – 5x +6

A: Given, ∫2x+4x2-5x+6dx

Q: (b) ^ / dx a² I

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Q: The function s(t) = t³ - 12t² + 45t represents the position of a particle (in meters), at time t (in…

A: We have to find points of position where object is at the rest position.

Q: [²₂ 0 y√2y - y²dy

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Q: Find the first five terms of the given recursively defined sequence. 2an - 1 + 6 and a₁ = 2 n- a₁ a2…

A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

Q: Let f (x) and g(x) be defined by f(x) = 2 - x      g(x) = (x2 + 2x+ 2    x < -1…

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Q: 3 Evaluate: S(5x¹2x³ + 3x − 4)dx -

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Q: (a) Find the derivative of f (x) = (x² + 2) (4x − 3) by first expanding the polynomials. Enter the…

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Q: M8 3k Σ k=0 ³√/K³ +2 elect the correct choice below and fill in the answer box to complete your…

A: Given :∑k=0∞3kk3+23