Obtain the 5th term of the power series of sin(x) for a value of x = 4.55.

Q: Q5A) Find volume of body from above Z = √√4-x² - y2 and below Z = 1 using Triple integration.

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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

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Q: Starting with the graph of f(x) = 2, write the equation of the graph that results from (a) shifting…

A: Given graph equation , f(x)=2x (a) shifting f(x) 1 units upward, y= f(x)+1 =2x+1. (b) shifting f(x)…

Q: 5. Show that the limit lim does not exist. 2-52-5 6. Show that the function f(2)= |z-2-3i² is not…

A: In the first question to  show that this limit donot exists approach z=5 through two different paths…

Q: Let X have a mean of 132 and a variance of 32. Define Y=X² + 2X+1. Compute the (a) mean and (b)…

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Q: 8) Evaluate the integral: f[(2 t² −5)i +cos j+(2+4)3 k]dt

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Q: simplification is to isolate terms and identify the dominant term. For instance, we might want to…

A: fx(n) =log2log2n+3for n→∞log2n+3 =log2n

Q: Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(−1, −2, −3) &…

A: Introduction: Since you have asked multiple questions, we will solve the first question for you. If…

Q: S Js V is the volume enclosed x (axr)ds = 2aV, where a by the closed surface S.

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Q: The following linear equations G write the system f equations in the from AX= B 5X-3 Y: 2 4x + y =…

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Q: x-2 z+4 • Let L:*²=+3 = 2²+ and M: 2x - 3y +z = 6 are line and 3 2 5 plane and let P be the…

A: We have to find the equation of line

Q: 4 5 7 31 9 12 -1 2 1-4 73-9 ܚ ܝ 4 -2 5 ܝ

A: Follow the steps.

Q: B)ls w = Ze² analytical function or not?

A: Sufficient condition for differentiability  : Let G be a region in the plane and let u and v be…

Q: 2. Given a line that passes through the point (-2,1,3) and is parallel to the line joining A(1,5,3)…

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Q: Prime Paints manufactures two types of paints, one for interior painting and the other for exterior…

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Q: he Taylor series of the function f(x) = cosx at x=0 is [co (1), 2n 2n=0 (2n)! (-1)"x²n n=0 (2n)!

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Q: Use algebraic method to solve games matrix: الحرية ام 1.5 1.4 1.9 1.4 1.9 1.5 1.9 1.5 -1.4 1.4 1.5…

A: As per the question we are given a 4×4 game matrix and we have to use the algebraic method to solve…

Q: 3- Let a: (F(R), +..) → (R, +..) be the map defined by a(f) = f(3)-f(0). Then o is a ring…

A: Given: σ:Fℝ, +, ·→ℝ, +, · be the mapping defined by, σf=f(3)-f(0) To determine: Whether σ is a ring…

Q: let a=2+7i b=4-2i Choose the correct result of a/b * O (6-361)/20 O(-6+361)/20 (-6-361)/20…

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Q: The matrix x = [1:5,8 9] has three .columns True

A: 1. Given matrix is x = 1:5, 8, 9 = [1 2 3 4 5 8 9] Here we can see columns are 7 Hence Answer: False…

Q: 1. Let G(x, y) denote that x gets y; W (x, y) denote that x wants y, and P(x) denote that is a…

A: Given- Let Gx, y denote that x gets y, Wx, y denote that x wants y, and Px denote that x is a…

Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: Step 5: Solve f(x) = 0 ANALYTICALLY. That said, you may need the use of a calculator at some point…

A: In this question, the concept of the trigonometric solution is applied. Trigonometric Identity The…

Q: Q3A) Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: To find: Equation of normal line and parallel plane to the function f(x,y,z)=x2y2z2-4,at (1,-1,2)

Q: 8. Show that 18!= -1 (mod 437). 9. Using Euler's Theorem, find the last two digits of 44443333 10.…

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Q: Show that 18! ≡ -1 (mod 437).

A: We have to show that: 18!≡-1mod437

Q: In the month of July, a convenience store had total sales of $102,300 from its gas pumps and other…

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Q: Q2: Find a root of Xlog 10 X - 1.2 = 0 using Newton's Raphson method correct to three decimal…

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Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…

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Q: 15 Describe the graph below. complete graph bipartite graph complete bipartite graph

A: We use definition of Complete graph, bipartite graph and complete bipartite graph.

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: 9 37) Solve the following simultaneous linear D.E. 10 =0 [D - 1 D+9 = 2D + 9]

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: If y, and y₂ are linearly independent solutions of ty" + 3y' + tety = 0 and if W(y₁, y₂)(1) = 6,…

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Q: 1. Determine the magnitude and direction of the resultant for the given vectors. polygon method. A:…

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Q: dx (2x-3)√5-12x+4x²

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Q: vector v has initial point P₁ = (-1,2) and terminal point P₂ = (x, 14). Find all numbers x so that v…

A: We have to solve given problems:

Q: Graph the feasible region for the follow system of inequalities by drawing a polygon around the…

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Q: 3. Test the convergence of the series an = O Converge O Diverge O Fail test Σ=1 n*+2n²+1 n6 +3

A: 1. Given series is an = ∑n=1∞n4+2n2+1n6+3 Let bn = 1n2 Then limn→∞anbn = 1 Here bn converges ⇒ an…

Q: let a=2+7i b=4-2i Choose the correct result of a/b* O (6-361)/20 O (-6+361)/20 O (-6-361)/20 O…

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Q: Find a, b, c, and d such that the. Relative maximum: (2, 9) Relativ-

A: Given,            f(x)=ax3+bx2+cx+d

Q: C. A music teacher has surveyed 515 students. The results of the survey are as follows: 258 students…

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Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: Find the magnitude of the vector v = 9 cos(90) i +9 sin(90) j. (Give an exact answer. Use symbolic…

A: We have given a vector ,  v = 9cos9θ i+ 9sin9θ j We need to find magnitude of vector v. Magnitude of…

Q: Q (x) 400, Use the graph of f'(x) to discuss the graph of y = f(x). Organize your conclusions in a…

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Q: Q1A) The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.

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Q: Evaluate f x²+8x+15 dx by using the integration by partial fraction.

A: We will factorize the denominator and then separate hose factors by using partial fraction method.…

Q: Find the general solutions of the system. 110 3 0 1 1 0 001 1 000 1 (t) = [ X

A: We solve by eigenvalues and eigenvector method.

Q: Find the standard deviation for the grouped data. College Units Frequency 0-24 4 25-49 3 50-74 75-99…

A: Given: A grouped data, To find: Standard deviation of grouped data.

Q: A sequer its Seco than its

A: We want to find the given statement is true or false.