2. a) Find lim g(x), lim g(x) and lim g(x) x→1- x→1+ x→1 b) Find f(1). c) Is g continuous at x = 1? Why or why not?

Q: Determine if the following statement is true or false. The points P1(12, 9, 9), P2(6, 3, 0), P3(0, –…

A: A detailed solution is given below

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A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

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A: The objective of the question is choose the correct option.

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Q: In the given integral below, what is the values of u and a? * dx V3 – x² – 2x - u = x + 1 and a = 2…

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Q: (a – x)°dx S(4x + 1)°dx

A: use the substitution method for solving the integral.

Q: Consider the series Σ (ӕ — аn 3 (х — 8)2 + - 8)4 (x – 8)6 + 25 - 3! (х — 8)8 125 · 4! +... 5- 2!…

A: Here, the given series is: ∑n=n0∞an=(x-8)2+(x-8)45×2!+(x-8)625×3!+(x-8)8125×4!+...…

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Q: Find an equation of the plane through (-8, 6, - 6) that is perpendicular to the planes 9x - y + z =…

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Q: OQUESTION 14 Find the area enclosed by the given curves. y = 4 - x 2, y = x +2,x= - 2 and x = 2 O…

A: Given query is to find the area enclosed.

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Q: The point (x, y, z) = (-1, –1, –1) under rectangular coordinates in R³ can be described through…

A: Let's find.

Q: 2. If f(x)=x² – 5x find, a. f(y? + 1) b. f(z+1)-f(z-1)

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Q: 3. x'sec?ydy – (1– 2x²tany)dx = 0

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: Now, let f"(x) =0 and solve for x. Remember that f"(x) = - sin is a periodic function, and thus…

A: use the equation above for solving the equation for x.

Q: Find the vector component of v = (4, -1,7) along b = (1, 2, –2) and the vector component of v…

A: The vectors v=4,-1,7 and b=1,2,-2

Q: y' + y = sin x.

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Q: Determine whether the series converges using the limit comparison test. 4k2 – 2k +9 Σ 20k7 + k – 20…

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Q: Salve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y=…

A: Let's find.

Q: Verify that the Mean Value Theorem (MVT) applies to the function f(x) = sin' 37 and find all the…

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Q: 3. What is the limit x+5 а. lim х-2 х-4 X-4 b. lim X+4 x3-64

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Q: Find the parametric and symmetric equation for the satisfying the given condition. 1. Through the…

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Q: Find the solution with the given initial condition. r"(t) = (e', sin (t), cos (f)), r(0) = (1,0, 1),…

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Q: Match the graph of f, below, with that of its derivative. 3. -3 -2 -1 I 2 3 -3+ 4 ++ -6 -4 -2 4 6 2.…

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Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 3, 5), and (1,0, –1).…

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Q: (a) Write a nonrecursive formula for the term of the arithmetic squence a based on the given…

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Q: 2x + 4 h(x) = 1 2x 1 f (x) = 1 –x g(x) = 3( x + 2x 6. | 3 -- 8. a.lim -4 · f (x) d.lim (8 · f(x) –…

A: Given:      fx=1-18x      gx=3x+2x6+4     hx=2x6-2x+13

Q: Find the vector component of v = (4, -1,7) along b = (2, 3, –6) and the vector component of v…

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Q: Answer the following questions. Show your complete solution. 1 Find the general form of the equation…

A: As per the company guidelines we are supposed to answer only first question.Kindly repost the other…

Q: 16. Determine if 4x – 3xy + yʻ is homogeneous or not. If it is homogeneous, state the degree of the…

A: Given : f(x,y)=4x2-3xy+y2   To Check : f(x,y) is homogenous or not and it's degree, if it is…

Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: 2. Find the second degree Taylor polynomial of g(x) the value of –9.2. Express the estimated value…

A: The given function is: g(x)=1-3x3=(1-3x)13…

Q: 6. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: y'sec²xdx – (1– 2y'tanx)dy = 0

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Q: Sin 26 de 9 sinte+4

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Q: Test the series below for convergence using the Ratio Test. n+5 52n +4 The limit of the ratio test…

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Q: x³ + x2 – 4 1. Consider the function f(x) 4.x = x +1+ Note that x² – 4 x² – 4 - x²(x² – 12) (x² –…

A: Solution is given below:

Q: diong the X-dXIS WiLII all dll and t is in seconds. If you know that the initial velocity is 6 m/sec…

A: According to our company's guidelines I can only answer first three subparts of the question. For…

Q: Remember that rectangular form is z = a + bi and that polar form is z = r(cos 0 + i sin 0) Take…

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Q: 3. f(x) = (1+x + x² + x*)!5

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Q: Find the remaining trigonometric ratios. Зл T < x < 2 1 cos(x) %3D sin(x) tan(x) %3D %3D cot(x)…

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Q: Find the area of the following triangle, OA= 40 OA=80/3 O A= 80 O A= 40/3 RI TH

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: Let a = ci + jand b = 6i + 24j. Find c so that a and bare orthogonal. C =

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Q: Approximate the critical numbers of the function on the open interval shown in at each critical…

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Q: Reindex the series to start at k = 0 y = E, (k+ 1)æ*+3 = E£o

A: The given series is y=∑k=7∞k+1xk+3 we have to re index the series to start at k=0. Rewrite the given…