9) Determine the Convergence fue series dirergonce of It Anyuners a) conneryes 5) diverges 9 Theorem g.1) in conclurine

Q: Exercises

A: The given figures are: and

Q: Check the continuity of the function at x : = 0 and x = 1

A: Given,           The piecewise function is given below :            fx=-2; -4≤x≤-1x-1; -1≤x≤0x2;…

Q: The sum of 2 numbers is 15. Find these numbers if their product is a maximum

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 14, (1,…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan L, , (3,…

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Q: 1. Given: x(x+8)(x – 2) (x+ 2)³ 8(7x – 4) (x+2)ª ° f(x) = (x+ 2)² ' and f"(x) = with f'(x) = d.…

A: Function is undefined at x= -2   Interval f' (-∞, -8) +ve -8 0 (-8, -2) -ve (-2, 0) +ve…

Q: 4. If E-1X = 60 and E-1 x = 90, find each of the following: E(x - 7) a. b. Σ-7 E(xi + 2) C.

A: This is a problem related to series and sum calculation. Based on the general formula we will answer…

Q: Find the area bounded by these curves. (All choices are in sq. units) Y1 = sin z Y2 =

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Q: In -dx x²

A: This is a problem of integration. Based on the general formula of integral by parts we will solve…

Q: A balanced ternary string of length n is a function f : [n] → {-1,0, 1}. The weight of such a string…

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Q: Find dx (9x² + 16 1 1 - In |3x + V16 + 9x²| + c -In |3x – V16 + 9x²| + c Option 2 Option 3 1 1 In…

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Q: Pls show the complete solution, thank you very

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Q: X1 – 4x, + X3 = 2 4x1 + X2 =1 Xz + 4x3 =-1

A: Since the question is asked to solve by two different method solution by one of the method is given…

Q: solve the exponential equation by using the property that b^x= b^y implies x=y, for b>0 and b≠1.…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let's find.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Find an equation of the plane that passes through the point P(-8, –4, 7) and has the vector n = (-2,…

A: Given problem:- Find an equation of the plane that passes through the point P(-8, -4,7) and has the…

Q: Find the directional derivative of f(x, y, z) = at P(4,5, –3) x + z _n the direction from P to Q(3,…

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Q: Find the vector component of v = 2i – j+ 3k along b = 6i + 6j + 7k and the vector component of v…

A: Given; v=2i-j+3k ; b=6i+6j+7k   We know that the expression; The vector component v along b=v·bb2b…

Q: What is the length of a simple pendulum whose full swing from left to right and then back again…

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Q: Prove the identity sin x cos²x+ sin?x algebraically and CSC X determine the non-permissible values…

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Q: S sin x In(cos x) dx

A: Given problem:- ∫ sin(x) ln(cos(x) dx

Q: 1 (5* )csch dy if Find dx 1. (а) y x>0. (ecosh 5x ) In Vx +1 d Show that for x 2 1, coshx- dx (cosh²…

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Q: Let u - (1, 2, 3), v (4, 4, -2), and w = (3, 0, -3). Find 4u + Sv - w. STEP 1: Multiply each vector…

A: The solution is given below

Q: The term t (in years) of a $200,000 home mortgage at 7.5% interest can be approximated by the…

A: Given that the term t of a $200,000 home mortgage at 7.5% interest can be approximated by the…

Q: Find parametric equations of the line through (-1, –1, 6) that is parallel to 2i – 4j+k. x(t) = y(t)…

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Q: State the answer using combinations. c) The number of edges in the complete graph K21. d) How many 7…

A: We will answer only part c, d and e because you have mentioned to solve only these three.   Complete…

Q: Find the magnitude of the resultant force and its angle from the positive x-axis 200 N 300 N 60 O a.…

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Q: 10. dx 1+cos 3x In(1+cos 3x) + C %3D - 3 _11. S 2(cos x)(sin²x)dx 2 + C 3

A: As you mentioned  only 10 & 11 solved

Q: Find the directional derivative of f at P in the direction of a. f(x, y, 2) = xy + 2²; P(2,-5, –1);…

A: Given query is to find the direction derivative. BB

Q: 15. Perpendicular to the plane x + 3y – z-7=0 and containing the points (2,0, 5) and (0, 2, -

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Q: Solve the differential equation by variation of parameters. 2y" — 4y' + 4у %3D е* sec x y(x) = %3D

A: Solution is given below:

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the area of the portion of the surface z=f(x,y) = x^2+ y^2 that lies below the plane z = 9.

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Q: Solve the differential equation with the appropriate method. Finalize the answer equated to y. 5.…

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Q: If L is a line in 2-space or 3-space that passes through the points A an B, then the distance from a…

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Q: 4 sec*(x) rind tha ualı Find the value of ((x* - 5x² – 6x)“ 4x³ - 10x – 6 dx. (x4–5x²–6x)* - a) 4…

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Q: 1 Sava (x³/3=1)/x dx (Hint : let x = u°)

A: Solution of question is written in below steps.

Q: 4x+10 J (x-2)(x²-2x+1)

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Q: Determine whether the following equality is true or false. 2-x2 D -1 x where D = {(x,y)| xr² + y²…

A: ∫∫Df(x,y) dA = ∫x1x2∫y1y2 f(x,y) dy dx.

Q: Find * sin (In æ) cos²(ln x) dx. cos (In x) , cos³ (In x) 3 cos (In x), cos³ (In x) 5 3 5 Option 3…

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Q: Use polar coordinates to evaluate the double integral int int _R (4+x) dA , where R is the region…

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Q: Find k if the shortest distance from (-2,5) to the circle x2+y2+kx+4y=12 is 3.6 units. a) 5 b) 6…

A: Find K.

Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Here, note that any plane through the point P(14,-12,7) is of the form:…

Q: Evaluate * (1 – x²)3/2° 1 + c 3 1-x2 -1 + c /1 – x² O Option 4 Option 2 2 1 1 + c /1 – x² :+c 3 V1-…

A: ∫ xdx/(1-x2)3/2 here assume that  1-x2 = u -2x = du/dx xdx = -du/2 ∫ -du/2u3/2 ∫ -u-3/2du/2 2u-1/2/2…

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

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Q: Given the graph of y=f(x) below, at which of the marked x-values can the following statements be…

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Q: 4. CHOOSE one of the following functions (CIRCLE YOUR CHOICE): y = 2 log(x + 3) – 5 Asymptote(s)…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: Evaluate the following integral using the method of partial fraction. (2х3-3х?) dx a. 2x2-7x+5

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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