If sin = O a) 1/ Ob) _42 4√2 Oc) 4√2 Od) - O e) _4V/2 9 - 4√2 and is in quadrant IV, find sin (20). Of) cannot be determined

Q: y = -x² + 13 and y = x² + 5

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Q: * The following geometric series +∞ Σ n=0 3n+2 +5 11n+1 O converges to 16/9 O converges to 39/14 O…

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Q: an = 2 + (−1)n

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Q: The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x about y = 4…

A: For finding limit of integration we should find intersection points of given curves.

Q: Find the arc length of the curve defined by R(t) = 12t î+5costj+(3-5sint)k from t=0 to t=2. O 26 21…

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Q: ***

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Q: Evaluate the indefinite integral by using the substitution u = 6-x° to reduce the integral to…

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Q: Evaluate the definite integral. 2 St³√₁+t² dt 0

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Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

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Q: Using decomposition into partial fractions, the following integral is equal to s 27 2x + 1 3x3 - 27x…

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Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

A: The objective is to find the solution.

Q: Is z=xcosϕ ?

A: To determine whether z=x cos φ.

Q: K Solve the triangle. a = 6, c = 5, B = 54° b= (Do not round until the final answer. Then round to…

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Q: Find the solution of the initial value problem y" + 2y' + 5y = 8e¯t cos(2t), y(0) = 10, y'(0) = 0.…

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Q: with

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Q: Question 5 Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis.

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Q: A function f(x) is said to have a removable discontinuity at `x-a` if: 1. ` f' is either not defined…

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Q: question b

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Q: The general term of the sequence is Select one: O True O False 1, an = 1-1 1 (-1)"+1 ,n21

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Q: Find a general solution to the differential equation. 1/4y"+4y=3tan4t-1/3e^3..........the general…

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Q: Find the limits. f(x) = x + 2 (a) (b) (c) lim X-15 g(x) = x² f(x) = -3 lim g(x) = 0 X40 X--5…

A: Solve the given

Q: Solve the given differential equation subject to the indicated conditions. y" - 4y = x + sin x, y(0)…

A: The given differential equation is y''-4y=x+sin x, y0=5, y'0=2y

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

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Q: Write the sum without sigma notation. Then evaluate the sum. 2 Σ k=1 40k k+3

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Q: answer #2 using partial fractions

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Q: 8 Σ η=1 1 3Vn + n η

A: Calculate the limit of the given term as n reaches infinity.

Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

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Q: Question 16 Consider parts? A B -S₁²x sinx dx. Using integration by parts, let u = e2x, dv = sinx…

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Q: 2. Find the area between between x = 0 and x =9. y=√x-10 and y=0 10

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Q: a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y) = 4x + 6y - x²…

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Q: Evaluate: f 4dx 3x+2

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Q: Halla la derivada de la función g(x): 8 ( x ) = sin -5 √/2 - 1 dr

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Q: 1. Use the delta method, 2 BONUS MARKS y = 5x² dy dx = lim h-0 f(x+h)-f(x) h to find dx for the…

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Q: 2).  Draw the directional field for the differential equation. y' = 1 − y2 − x2

A: Given  y'=1-y2-x2

Q: sin(2t). Find Əz Ət if z = √r² + s², r = cos(2t) and s =

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Q: obtain the differential equation of: Circles with center on the line y = -x and passing through the…

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Q: 2. The point (8, 3) lies on the graph of y = log, z. If the point (4, k) lies on the graph of yb,…

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Q: Question 2 ( ) Draw the enclosed region by the curves y = √1-x, y = 0 and x = -3.

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Q: Find the average rate of change for the given function over the indicated values of xx. If…

A: Given that  y = -2x2 +5x+1   where 'x' goes from -2 to 6 .     we have to find average rate of…

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: We have to find the directional derivative.

Q: Question 11 of 20 View Policies Current Attempt in Progress If lim- x-1 < Determine whether the…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: (Question 8, 9, 10, 11, 20 pts) For the following exercises, find /(x) for each function. Use th…

A: As per the guidelines, we will be answering the first question. As per the instruction in the…

Q: 1. Evaluate the following. Express all final answers in rectangular form. A = ³√√cos[ln(-1)]

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Q: Find the constants a and b such that the function is continuous on the entire real line. 8, ax+b,…

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Q: Convert to polar equation. Express rinterms of Q 4x + y = 5

A: The objective is to convert in terms of polar equation.

Q: For the following exercises, the given limit represents the derivative of a function y = f(x) at x…

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Q: Find the indicated limit by using the limits [f(x, y) = g(x, y)] lim (x,y) → (a, b) Enter an exact…

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Q: Specify the substitution you would choose to evaluate the integrals. S (t + 4) e²+8+1 dt Ou=t+4…

A: The given integral is ∫t+4et2+8t+1dt. We have to find substitution for the integral.

Q: Laplace Transforms. 1. Determine the Laplace Transform of the following functions: a. f(t) = 5te-t +…

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