sinh(x) = 314

Q: Question 1 (i) Determine dy/dx in the following: (ii) y = cos(x³ - 2x) y = x²-2 sin x y² −2(x+y)+x²…

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Q: Find all intervals on which the function f(x) = (x² − 3) e-ª is decreasing.

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Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

A: From the given graph

Q: Find ∫∫R  −3x+5y/(x+6y) dA where R is the parallelogram enclosed by the lines −3x+5y=0, −3x+5y=3,…

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Q: The graph of a one-to-one function f is given. Draw the graph of the inverse function f¹. For…

A: The graph of a​ one-to-one function  is given. To draw the graphof the inverse function .

Q: 3 · [²³ F(x) Given 6 ³ fº f(x) f(x) dx = 9 and Exercise (a) 6 [° F(x) f(x) dx = -8, evaluate the…

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Q: Which of the following are solutions to the following integral. X 3x² - 12x □ Check ALL that apply…

A: The given integral is x/(3x2-12x).

Q: . If an item has a new cost of C and an annual depreciation rate of r (as a decimal), its value, V,…

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Q: Find y'. y = y'' = 16 tan (4x + 1)

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Q: Calculate the Riemann sum R(S, P. C) for the function f(x) = x² + 8x, the partition P= {4,6,9, 12)…

A: Solution

Q: Given f(x)=x³32, find f'(x)

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Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

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Q: The equation of a hyperbola is 64 a) Find the center, vertices, transverse axis, and asymptotes of…

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Q: Find the radius R of convergence for the series R = n=1 2x+1 87+1 n8

A: The given power series .The aim is to find the radius of convergence of the power series.

Q: Differentiate the functions: cosec x * cos x

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Q: Evaluate [xy dx + (x + y)dy along the curve y = x² from ( − 1,1) to (2,4). C S xy dx + (x + y)dy = C…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Convert the rectangular coordinates of the point to polar coordinates (r,0) with r>0 and 0 ≤0<2.…

A: We need to convert rectangular corrdinates to polar coordinates.

Q: Find all exact solutions on the interval 0 <0 < 360°. If there is more than one answer, enter them…

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Q: Convert the Cartesian coordinate (-2,-5) to polar coordinates, 0 ≤ 0 < 2π r = Enter exact value. 0 =

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Q: Hello, can someone please help me with this calculus practice question

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Q: Find the integral. Use C for the constant of integration. | (x² (y² + 3)² dy

A: The objective of the question is to find the integral of the given function with respect to y. The…

Q: Find the indefinite integral. [9√ w dw = +C

A: We know that,.We have to find the integration of .

Q: The equation z = 5r cos (0) is given in cylindrical coordinates. Convert the equation to Cartesian…

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Q: Evaluate the following limits algebraically. 1. lim x---> -3         {-2x + 4; x -3 2. lim x--->…

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Q: Find all exact solutions on the interval 0 ≤ 0 < 360°. If there is more than one answer, enter them…

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Q: Find the radius R of convergence for the series R = n=1 n! xn nº

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Q: Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7+ 2t³,…

A: x=8+3t2

Q: The system of differential equations : has the solution Y = C₁ et V₁ + C₂ ezt V₂ + C3 e¹³ V3 where…

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Q: Let xy = 4 and dx dt Find dy dt when x = = 2. 1.

A: ..........(i)Differentiating equation with respect to t Put   ..........(ii)

Q: Find the solution of 4x²y" - 6x²y + y = 0, x > 0 of the form Y₁ = x¹(1+₁x + €₂x² + 3x³ + ...) Enter…

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Q: Let Z₁ = 6(cos(72) 7π -54 Z1Z2 = Z1 = Z2 + i sin (77)) and Z₂ = X 9(cos(55) + i sin (57)). Find Z₁Z2…

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Q: 10 -9 -8 -7 -6 -5 -4 10+ H Cu Ha STI -10 1 2 3 4 5 6 yak x Write the standard equation for the…

A: The standard equation of hyperbola with transverse axis parallel to x axis is

Q: Electric charge is distributed over the disk x² + y² ≤ 3 so that the charge density at (x,y) is o(x,…

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Q: Evaluate S 2x + 1 (4x + 3)(x + 1) - dx

A: Consider the integral

Q: Consider the following. f(x) = -3x² + 36x Find the critical numbers. (Enter your answers as a…

A: The objective of this question is to find the critical numbers of the function f(x) = -3x^2 + 36x…

Q: Let A and B be the following matrices. Perform the following operations: -6A A+ 3B: 2A + 4B A 9. 5…

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Q: For answer in part "E", is the answer 1/2 ln| sqrt(x^2+4/x^2) - 2/x |+C or 1/2 ln| sqrt(x^2+4) / x^2…

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Q: 8. The largest angle of a triangle has a measure that is 10 degree less than three times the measure…

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Q: Use the figure below, which shows the graph of y = f(x), to answer the following questions. Which of…

A: Area above the x-axis is considered as positive and area below the x-axis is considered as negative.

Q: Find all exact solutions on the interval 0 <0 < 27. If there is more than one answer, enter them as…

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Q: If f(x) - Sto = t5 dt then f'(x) = and ƒ'(−4) =

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Q: = sin(x),0 ≤ x ≤ π

A: Given that the expression

Q: Find a power series representation for the function. ( ) = n( 11 + y )

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Q: Find the integral. Use C for the constant of integration. J cos(9t) sin(9t) dt

A: To find the following integral.

Q: Given 6xy= 2 + y³ ,  a) Find the coordinates of a point on the curve at which the line tangent to…

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Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

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Q: The position of a particle moving along a coordinate line is s=√52+4t, with s in meters and t in…

A: The position of a particle moving along a coordinate line is s=52+4t, with s in meters and t in…

Q: Express the limit as a definite integral on the given interval. lim n→∞ i = 1 exi 3 + X; Ax dx [0,…

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Q: amount for 6 Three kinds of tickets are available for a concert: up-front, main- floor, and balcony.…

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Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.