Question 1 Suppose the infinite series an is divergent. Then for any real number c, the series can is n=1 also divergent. O True O False Question 2 If lim an # 0, then the sequence {an} is divergent. O True False

Q: Write the first five terms of the arithmetic sequence. a4=20, a10=32

A: Given query is to find first five terms of the arithmetic sequence.

Q: Find the equation of the tangent plane to the surface z = ly² – lz² at the point (-2, 0, -4). 4x+0

A: Given   z=y2-x2 We have to find equation of tangent line at the point(-2,0,4)

Q: Find the differential of the function w = I sin(2yz). dw = dy + dz + xp Note: Your answers should be...

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Q: Determine Increasing/Decreasing and Concavity Mar 20, 9:26:08 PM Watch help video Given the function...

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Q: Q3/ Find a center of mass of a thin plate of density 8 = 3 bounded by the lines x = 0, y = x, and th...

A: Given region bounded by x=0 , y=x and parabola y=2-x2    in first quadrant

Q: Below is the plot of a function f(x). 15t 14 13 12 10- 8- 4. -9 -8 -7 -5 -2- -7 -8- -10- -H- -12 -13...

A: According to the graph, there is a local maxima at x=-3 and a local minima at x=1

Q: 6. Let a be a real number.

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Q: If f(x) = 2x+11 then we can write %3D (x-1)(x²+x+1) Select one: O f(x) = 4 + x+1 x+x+1 O f(x) = + X-...

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Q: 1 Σ 4n² – 8n + 3 n=1

A: The objective is to determine if the series is whether convergent or divergent.

Q: Given the following multiplication problem – 12 -3 V Perform the multiplication to find your two equ...

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Q: 4. f(x) = a = 0 x2-4x %3D x2+4x x?-3,xミ-1 5. f(x) = {x- 1, x>-1 こa=-1 %3D

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Q: 3sin(x) lim tan(2x)

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Q: Find the directional deriva tive OF the Function at the point P (!,) in the dlinection V= -i

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Q: Find the linearization of the function z =/ at the point (-5, 1). L(1, y)

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Q: Differentiate f(y) = 8-3y+5 f'(y) > Next Ouertion

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Q: If f(x) = 21, find f'(– 10).

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Q: 4 dx J (3+12x?)arctan 2x

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Q: Let f(x) = In(5æ² - 4x + 9) f'(x) =

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Q: Let y(x) be the solution to the following initial value problem.find y(e). Write your answer symboli...

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Q: Find the equation of the circle that passes through the points (10,2), (9,-3), given that its center...

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Q: Question Select your answer. What is the slope of the tangent line to the function -2 f(x) = at the ...

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Q: Give the Maclaurin series expansion of f(x) = ln(3-2x). Determine its interval of convergence.

A: To determine the interval of convergence

Q: +00 (2n)! E(-1)"- 2" n=1 O divergent O convergent

A: The objective is to find the convergence or divergence of the series. 

Q: Let f(x) = 4 sec(7x) f'(x) =

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Q: The graph shows the contour map of seawater density p (S,T) (kilograms per cubic meter) as a functio...

A: Calculate the temperature and density at point A and B then take the average change. 

Q: Now that we have practiced finding our eigenvalues 1-R 2 becomes has eigenvalues R, = 2 and R, = - 3...

A: Given the matrix and its eigenvalues3-32-4 becomes 3-R-32-4-R has eigenvalues R1=-3 and R2=2.To find...

Q: 8. Find the positive constant a(> 0) so that the parametric x = at, y = -t? is a solution to y = x()...

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Q: Find the solution of y" +10y +25y = 49 e with y(0) 8 and y' (0) = 5.

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Q: 3.) Find y': Given: y = coth NIK

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Write the first five terms of the arithmetic sequence. a1=3, d=6

A: Let's five terms of arithmetic sequence are a-2d,a-d,a,a+d,and a+2d Then a-2d=3 ,d=6 a=3+2×6=3+12 a=...

Q: . Sketch the graph h(x) = x2 -x-12. Then, a.) Determine the line tangent to h(x) at x=c. What is it...

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: solution

Q: Given g(x) = 3x-1 – 2 A) State the parent function f(x) = %3D B) Describe the transformations: Confi...

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Q: What is the integrating factor for the differential equation? dy dt + 9ty = ety

A: Comparing with dy/dx+p(x)y=q(x)  Then integrating factor=eintegration p(x) dx

Q: x+4 5. S #dx

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Q: Let f(x) = radical 6 + radical 7x find f'(x) =

A: Given f(x)=6+7x We have to find f'(x)

Q: Suppose that f(z, y) is a smooth function and that its partial derivatives have the values, f-(-8, -...

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Q: Evaluate the integral -drz.

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Q: Is the differential equation linear? y' = y + ey

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Q: The graph of f', the derivative of the function f, is shown above. Which of the following could be t...

A: From the given graph of f' we can see that f' is positive when x = (-Infinity , 1] And also f' is ne...

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

A: topic - application of derivatives

Q: Evaluate the integral [[(ate?) i+ (o-8) j+ (3) k]at 0. S[(t022) i+ (e-) j+ (3)kJat = i+ ()j+ ( )k (T...

A: The integral,      ∫014te2t2i+e-3tj+3kdt

Q: Find a formula for the nth term of the arithmetic sequence. a1= -4, a5=4 an

A: Topic:- sequence and series

Q: The graph shows the contour map of seawater density p(S,T) (kilograms per cubic meter) as a function...

A: solution

Q: c) lim d) lim x→0 tan 3x Зх -5

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Q: 0. Find a point on the line 3x +4y -25 =0 which is closest to the origin.

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Q: x = 3 sin 0 is an appropriate trigonometric substitution for the integral 3-x2 dxp. x2 Select one: O...

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Q: Activity 1 Determine whether the following functions are continuaus or not. If they are not, classif...

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Q: If x? + y? = 100 and dy = 8, find dt - when y = 6. (Enter your answers as a comma-separated list.) d...

A: Given query is to find the indicated derivative.

Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x2 = 8y, th...

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