[sin³ (2) cos(4) dx

Q: given: W = x² + 2y² + 2² x = cos (st) : y - 2s int 35² √+ chain role, find 3 × 502 8 using dw Ət

A: To solve the following problem

Q: Question 2c.)

A: Here we have to find the period.

Q: Which of the following is correct? 1. cosh²x + sinh²x = 1. II. sinh x cosh y = sinh (x + y) + sinh…

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Q: Use the graph of f to describe the transformation that yields the graph of g. f(x) = 6*, g(x) = 6x +…

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Q: N) dy x dx X (1+y) y (1-x)

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Q: 22-12x x²(3x² - 10x-8) To solve - for this integral? a dx partial fraction is to be employed. What…

A: Partial fraction

Q: 3.The population of birds in a region was measured to be 6300 birds in the year 2015, and 8700 birds…

A: 3. The population of birds in a region was measured to be 6300 birds in the year 2015,and 8700 birds…

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A: Given query is to find the name of the every function.

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Q: 55. f(x) = x² + cos ¹x on [-1, 1]

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

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Q: In the model for exponential growth or decay, the amount, or size, at t = 0 is represented by C・・・…

A: The exponential growth or decay functions are given by;A= A0 ektk<0, decay modelk>0, growth…

Q: Find the laplace transform of f(t) = 2t¹-3e³t+10 cos 2t

A: Given that,  f(t)=2t4-3e3t+10 cos2t

Q: e falling parach

A: answer is in next step

Q: Sketch a graph of f(x) if r-2 if -2 4

A: Given,  f(x)=2x+6if x≤-20if -2<x≤41.5x-6if x>4

Q: 3t AT(1) The temperature T of a person during an illness is given by T(t) = +98.6, where T is the…

A: T(t)=3tt2+3+98.6A)T'(t)=(t2+3)ddt(3t)-3t…

Q: Find the radius of convergence, R, of the series. - Σ (−1)n (x − 6)n 6n + 1 n=0

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Q: Calculate the derivative. f(x) = 6-9x1/3 +9e* (Use symbolic notation and fractions where needed.) d…

A: A detailed solution is given below

Q: lim 3 24-8 LIMIT VALUE: H 11-2r

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Q: Write the equation of a sine or cosine function to describe the graph. 3- 3 1 π - 4 4 -2 -3 r k | 2

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Q: a cone-shaped paper drinking cup is to be made to hold 27 cm3 of water. Find the height and radius…

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Q: Decide whether the statement is true or false. - 5 is a solution of log 325 = 2log 3x.

A: Formula

Q: Find the integral: x2-2/x+1 dx choices: a) x2/2 - x - In(x+1) + C b) x2 - x - In(x+1) + C c) x2…

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Q: Suppose f, g have the following values: f(3) = e5 and g(3) = 2. ƒ'(3) 10 and g' (3) = = 8. 4 Let y¹…

A: To find the value of y' at (3,-3).

Q: Find the critical points of the function f(x) = x² - 25 x² + x - 30 Use a comma to separate multiple…

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Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

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Q: Using integration by parts, 2 x³ cos(x²) dx = k Then k is? (a) - 1.5136 (b)-1.1365 2 x sin(x²) dx k…

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. y 0 4 5 16 7 8 9…

A: Given

Q: Solve the optimization problem. F = Minimize F = 11x² + 11y² with xy² = 16.

A: Given problem:- Solve the optimization problem.   Minimize F = 11x2 + 11y2 with xy2 = 16

Q: y 8 6 4 2 y = 3x+1 2 J C 4 y = 8 - x 8 CO X

A: Given query is to find the area under the curve.

Q: 1. (a) lim x Find the limit. Use l'Hospital's Rule where appropriate. 3 x + 8 2 x + 2

A: topic - limits a3+b3=(a+b)(a2+b2-ab)

Q: domain of the function: A = 8 B = and C= 8 For each of the following intervals, tell whether f'(x)…

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Q: Find f''(x). 5 f(x) = (x² + 5) *

A: The given function,  f(x)=x2+55

Q: a₁ = 5 9₁2=35 Find the common difference using arithmetic sequence.

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Q: Given f(x)= (b) 4x+3x² - 6x. Find All critical points of f(x) The interval on which f(x) is…

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Q: DTCL ^ cos log X-1 x/LOGIC CONV MODE CLR ON M+ tan tan F In CONST 570MS Consider the differential…

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Q: dx x² - 2x - 4 sec 0 csc 0 S integrand is? (a) (c) √5 is solved by trigonometric substitution, the…

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Q: lim (2x²+x-1) 2-0 LIMIT VALUE: 2²-4 lim 2-0 2+8 LIMIT VALUE: LIMIT VALUE: 9-z lim 2-9 3-√√2

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 7. The height (metres) of a bouncing ball can be modeled by the function h(t) = 2sin4t + 2 over the…

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Q: Find the radius of convergence, R, of the series. Σ (x - 7)" 07 n=1 R = Find the interval, I, of…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Apply the first derivative test to indentify all relative extrema. (b) f(x)=x²-2+1 (c) f(x) = cos²…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: b) fex-c - cos x + 1dx

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Q: Find the exact value of each expression by applying trig formulas (Addition and Subtraction…

A: We have to find the exact values.

Q: Find T(t) and N(t) at the given point. r(t) = (t²- 2)i + tj; t = 2 T(2) N(2) = =

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Q: Evaluate Ic (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (9, -7)

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Q: XZ 3) cos(x)-x²y + e + yz = 4, P (0,1,2)

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Q: A Ⓒ Using integration by parts to solve f √4x²+k -2√4x²+k -√4x²+k 2√4x²+k x³ dx √4-x² and letting u…

A: Let's find.

Q: QUESTION 12 dz State the multi-variable chain rule for if ди z=z(t. s, w), t=t(u, v), s=s(u, v), w=w…

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Q: Let 0 = tan-¹ ( - ), then tan@ =_ and is in quadrant Now use trig identities to find the other 5…

A: Theta lies  in second quadrant ot in four quadrant . First find the trig ratio considering the theta…