The face of coin is either head or tail if three coins are toss what is the probability of getting three tails or three heads. A. 1/8 B. 1/2 C. 1/4 D. 1/6

Q: 10) If 2 an = 12, then lim an = 848 n=1 (A) 1 8 (A) If lim 11) Suppose an > 0. Which of the…

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: (D) sec(a) die (E) sec(z) tan(z) da

A: You want only the sub part d and e to be solved.

Q: 26. Given g = a + w. |g| = 400, pointing in the direction N57°W. |w| = 100, coming from the…

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Q: Evaluate the limit using L'Hospital's rule 1 lim 6xe - 6x x →

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Q: S In (x) √xln(x)-x dx

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Q: The Cartesian equation equivalent of polar equation r = 4tane sece is y True False O

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Q: : Evaluate the integral: √2 3y 8-x²-y² 1. JIJ 00x²+3y² dzdxdy

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Q: Use the Comparison Test or Limit Comparison Test to determine if the series converges. n² Σ.. n² + 4…

A: See this solution in below

Q: Let f:R-R,g: RR and h: R→→R be differentiable function such that f(x)=x²+3x²+4 g(x)=x and…

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Q: The following table shows the results of a survey of 200 authors by a publishing company. New…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Find and for the functions: of Əx af ду bren 2. f(x, y) = x² − xy + y² X (x² + ² noitonut sil 4.…

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Q: 3. Find the solution of the following system of liner inequalities by graphing: (K + 2y > 5x + 3y…

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Q: 1) / sen(x) 4+ cos²(x) I 1+4x² 2) [√5/2 S² 3) 0 4) 1 x² - 2x + 2 dx √ √2/2 are 0 X dr √2/2 arccos(x)…

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Q: Part 1 of 3 (a) Graph f(x)=3|x for x S

A: Solution ) f(x) = 3 |x|  x<0 Vertical dilation of scale factor 3 f(x) = -3x and x<0

Q: What is the average value between the curves f(x)=√x³ in the interval [419] of

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Q: A spherical triangle has an area of 327.25 sq. km. What is the radius of the sphere if its spherical…

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Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P.(0,0,0) in the…

A: Given problem:- find the derivative of the function g(x, y, z) = 3ex cos(yz) ,at the point P0(0,0,0)…

Q: Suppose that the functions h and g are defined as follows. h(x)= (-5+x) (5+x) g(x)=-8-6x (a) Find…

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Q: b) Determine, showing steps, whether the line [x, y, z] = []+¹] intersects the plane: 3 x + 7y + 8z…

A: We have to find the intersection of plane and line.

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: The Maclaurin series of the function f(x) = 8x² sin(8x) can be written as f(x) = Σ" 72=0 where a few…

A: Solution is given below:

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 So dx 6 x+8 Write your answer…

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: lim f(x) x → -2+ lim f(x) x →-2- O False O True 4 3 2+ 1+ -5 -4 -3 -2 -1/ 1 2 3 4 → 5x

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Q: ODE. Find the general solution of the following. Show complete solution 2. (x - 2y + 3)dx + (x-3)dy…

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Q: Two functions fand g are defined in the figure below. (a) Domain of f (b) 3 Range of f 4 6 7 9…

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Q: Find the general solution of the given differential equation. 3 +24y = 8 dy dx y(x) = Give the…

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Q: dx S. √√x

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Q: Verify that y = c₁ex + c₂e4x is a solution to the DE: y" - 5y + 4y = 0.

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: Evaluate the integral. 7/4 O [(10sect)i-(3+ sin t)j - (2sec t tan t)k)]dt (2√√2-37-4 2 10i + O 10i +…

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Q: What does the following equation represent in R3 -7x+ 5y = 0 O Line O None of the others O Plane O…

A: We can answer the question as below.

Q: The particular solution (yp) of the equation y" - 3y' + 2y = 5 e* is yp = -5xex False True O

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: Given

Q: the region of integration, reverse the order of integration, and evaluate the integral. 10 xy 20 Xe…

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Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 a). Write parametric and symmetric…

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Q: Calculate the derivative. y = tan -T y = 2+x 2 - x (Express numbers in exact form. Use symbolic…

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Q: d. (f/g) (x) f(x)=3x+4; g(x)=2x-3

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Q: 3 Find the Maclaurin series of .Write your answer in sigma notation. 1 + x O O O Σ(x)³n n=0 3…

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Q: Please solve the bottom question.

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Q: Find positive numbers x and y satisfying the equation xy=9 such that the sum 3x+y is as small as…

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Q: Use the graph to determine whether each statement is tru lim f(x) exists. x → -3 -5 -4 -3 -2 -1 -1…

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Q: 00 To test the series Σ as is the case with all series of this type.) According to the P-test: the…

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Q: If √√√1-y² the resulting of integral is x² + y² dxdy is changed to equivalent integral in polar…

A: if we change Cartesian coordinate to polar coordinates then  we write - X = rcos(theta) Y =…

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A: We have to find area for given curves.

Q: The determinant for the following matrix is [511] L4 2 O C 10 2

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Q: Find a linear differential operator that annihilates the given function. 2.3 + e* cos 2x

A: Let, the given function:fx=3+excos 2x

Q: Find an explicit solution of the given initial-value problem. 1 y(4) = 4 y = dy dx = y² x² - - 1

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Q: Set up, but do not evaluate, an integral that represents the length of the parametric curve Select…

A: Application of integration

Q: Given u x 7 = (-1,4, -2), find ( − 3v) × (u + 5v).

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