2. Find the radius of convergence and interval of convergence of the series. (a) (-1)--1 (" – 5)*+1 (n +1)! n=1

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function…

A: Given graph:-     To find:- For the graph shown, identify a) the point(s) of inflection and b) the…

Q: How do you take the integral of 2 * sqrt((t^2 + 1)) ? Can you label notes on each step? I can't see…

A: We will solve this question using integration by parts.

Q: f(x) = / sinx cos x

A: The objective is to flnd the derivative and slmpify.

Q: Directions: In implicit differentiation, we differentiate each side of an equatiom wariables…

A: Topic:- function and it's Derivatives

Q: for what Vatuer of the constant(k) that the funstion fayt=x²+kxy +y will have a- Saddle Point…

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Q: 6. Determine, with reasons, the absolute maximum and absolute minimum of f(x) = x/2 – x on the…

A:

Q: 2 dx + ( 2x-y+3) dy = 0 ans. y + C = - In |2y-y+4|

A: See the details solution in below

Q: Given vectors a = (-1,-2),5= (-2,3), c= (3,-1),đ = (-3,2) find the dot product of 5 and d. -12 -1 12…

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Q: Learning Task 2: Find the derivative of 4x2 + 6y³ = 50 by filling the blanks. %3D (2 x)(x²-)…

A:

Q: Let f be a continuous function such that f (x) dx = -4 and 1 f(x) dx = –14. What is the value of 2…

A: As we know that;  The properties of the definite integral; 1). ∫abfxdx=-∫bafxdx…

Q: -8 17 ane = -15/8

A:

Q: A function f is defined by f(x)=x' – 3x² – 24x , where xeR. (i) Find the coordinates of the…

A: Given that fx=x3-3x2-24xi  stationary points occurs…

Q: Let k(x) = tan−1 x. Find the value of k(9)(0), the 9th derivative of tan−1(x) at x = 0.

A: Given

Q: Find the area of the shaded region. r = 3+2 cos 0 r = sin 20

A: Area of polar region =                                    integration of r^2/2 d(theta)

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

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Q: Answer the following True or False. 4 + C In 4 O True O False

A:

Q: In(&x³) f(x) = 1-9e-* -2x 1-9e 2

A:

Q: 4. 1 8-x² 8-X2

A: See the details solution in below

Q: find the derivative of y = x3/x

A: Given y=x3x

Q: Wheat is poured through a chute at the rate of 10 ft/min and falls in a canonical pile whose bottom…

A:

Q: Find the absolute maximum and absolute minimum of the function on the interval. f (x) = 5(x² -4)/z³,…

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Q: funchoN f whose second derivative is f ")= 5x+2sin(x If fo 3 and fro)= 3. what is fe?

A:

Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

A:

Q: 1 Зех [e2n* + 23c] dx

A:

Q: The integral of the given function f x2 dx is (9-x2)2

A:

Q: Find the magnitude of the vector V= (-1,3). 10 10 8 22

A: Given V¯=-1,3 To find magnitude of vector

Q: Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, 0, 0),…

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Q: Find all solutions to the equation. 2 sin 0+/2 =0 Write your answer in radians in terms of t. TC…

A:

Q: COn 8 Question 12 dx is equivalent to what trigonometric expression when solved using trigonometric…

A: Question no. 13 is not visible proper ,you can repost again

Q: 1-. 5x <35 -2 (х-3) (х+3)* (*+1(5-х) 7-3. 2х - 3 <4 x-1 2.4, 25. -23х -5 - 8<-20

A:

Q: (x² + 8y²)dx – 6xydy = 0

A:

Q: 1„2 The graph shown is f (x) = ±x². 4 3 21 1 54 3-2 -14 1 2 3 4 5 -2 3 4 If g(x) = `f(t) dt, what is…

A: This is a problem of antiderivative function. Based on the general formula we will answer the…

Q: Find the slope of the tangent line to the polar rer = 1/0 at 0 = T.

A:

Q: For 5, Sketch the region enclosed by the given curves. Find its area. Make sure you show how you…

A:

Q: 3. Which of the following is the solution to sin a +1 = 0? O x = 0 + 360k O x = 180 + 360k O x = 90…

A:

Q: 20t y = (x-2)2+40 ABOUT THE X-axis -2 0 2

A:

Q: e*+e¯& =x² –2 lim sin² x–x² x→0

A: Given limx→0ex+e-x-x2-2sin2x-x2 If we put x=0, we get a solution of the form 00…

Q: The curve y= sinh x, 0< x <9 is revolved around the x-axis. Find the area of the resulting surface.…

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Q: (х- 4y - 3) dx -(х-бу— 5) dy %3D о ans. (x - 2y - 1)? %3D с (х-Зу- 2)

A:

Q: If A = [1 2 3], which type of the given matrix A ?

A: Given Matrix A=[1  2  3 ]1×3  Here number of row=1  Number of columns=3

Q: A stone is thrown straight up from the edge of a roof, 600 feet above the ground, at a speed of 16…

A: The answer is in below steps.

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 1, (1, 5) Vf(1, 5) =

A: Let's find.

Q: -3x 4. Y= -3x

A:

Q: How 3 Find the absalutemaximes and minima far the funCtion (4x-x) Cosy an the rectangular plate…

A: Solution is given below:

Q: Use implicit differentiation to solve the following related rate problems: (Include a properly…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: complete and detailed solution using techniques of variation

A: Given,            ∫dy1+y+13

Q: Given: -8 17 csce = O 17/15 -17/15 17/8 -17/8

A:

Q: y²dy Vy2+4 3.

A:

Q: Evaluate the following limits analytically, if it exists. (a) Vx+14 – 1 lim x→-10 2x (b) 5x +7x lim…

A: Given problem:-