3. F(2)

Q: Use Newton's method to approximate a root of the equation 4x' + 4x + 4 = 0 as follows. Let x1 = 3 be...

A:

Q: lim f(x) = x - -4" a. b. lim f(x) = x- -2 C. f(-2) = %3D

A:

Q: f(x)=x3+3Sinx tacos x, Find (f) (a) a=2

A: NOTE: Refresh your page if you can't see any equations. . take x=0 and check  so the point (b, ...

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a vel...

A:

Q: Evaluate  ∬R(x−8)dA where  R is the region in the first quadrant enclosed between  y=x and  y=x3. R...

A: We will find the area as shown below

Q: Use the graph of the function f to find approximations of the given values. y 8. -8 8. -8 (a) f(-6) ...

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Q: stock account started with a value of $95,000 in the year 1995. The value of the account appreciated...

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Q: The diagram below shows the graph of a function f along with points P and R, which lie on the graph....

A: The given data is: To find: In terms of a, f, and h, give the coordinate of the points of P and R.

Q: If 2000 square centimeters of material is available to make a box with a square base and an open top...

A:

Q: Which is the correct order in finding the radius of curvature of a circle? i. find the radius ii. Ge...

A: We are asked to find the order of finding radius of curvature 

Q: Determine la derivada direccional de f (x, y) = y In z en el punto P (1, 4) en la dirección de v = i...

A: Topic:- calculus

Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above...

A:

Q: Determine the equation of the form y=acos b(x-c)+d,a>0of the function whose graph is shown below. 2T...

A: topic - equation of a graph

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the giv...

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Q: 8 3 D is a curve represented by the vector function H(t) = 1. Solve for ||R'(t)||. Simplify your ans...

A: Here is the solution of the given problem. Vector Differentiation:  Distance Travelled along with th...

Q: Calculate the gradient of the tangent line to the curve y3 - x3 -xy = 1at the point (-1,0).

A:

Q: Find the volume of the solid that results when the shaded region is 2 y = x revolved about the indic...

A: Consider

Q: What is the general solution for a (x³ – 1)10 dæ? 1 (a – 1)" +C O 10(23 – 1)° + C o 1 (2³ – 1)" +C 3...

A: using method of substitution 

Q: By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x – 4 sin'x. Hen...

A:

Q: Find the interval(s) of increasing for the function S(x) = x- tan x. O (0, 00) (-00,0) DNE (-00, x)

A: Given query is to find the interval where f(x) is increasing.

Q: 1. Find the mass of the solid bounded by the ry-plane, yz-plane, xz-plane, and the plane ++ = 1 if t...

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Q: Solve e*tany dx+(1+e*) sec?y dy = 0 .

A: Given query is to find the solution of differential equation.

Q: For the following functions, enter E if they are even, O if they are odd, and N if they are neither ...

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Q: The nth-Term Test: use the nth-Term Test for divergence 1 el Σ el + n n=0 > cos nT n-0 n(n + 1) (n+2...

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Q: 12. Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes fro...

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Q: In a model of the nervous system, the intensity of excitation of a nerve pathway is given by I = E[1...

A: Given  that: I=E1-e-a(S-h)E

Q: 5. Basic algebra: expanding binomials and rules of exponents. (a) Convert all radicals to exponents ...

A: (a) To convert all radicals to exponents and rewrite all the fractions with all variables in the num...

Q: Use the Ratio Test to determine if each series converges or diverges (п — 1)! Σ 1 - (n +1)2

A:

Q: Consider the curve segments: S1: y = x from x =- to x = 2 and S2: y = 1 Vxfrom x = to x = 4. Set up ...

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the indicated derivatives, using the following information: f(5) = - 5 f'(5) = 4 9(5) = 8 g'(5)...

A: Given f(5) = -5 f'(5) = 4 g(5) = 8 g'(5) = 2

Q: Let y tan(3x + 2). Find the differential dy when x = 4 and dæ 0.2 Find the differential dy when a = ...

A:

Q: Find the first and second derivative of the function. f(x) = 4x – 5x/10 f '(x) %3D f "(x) =

A: Given : f(x) = 4x - 5x9/10

Q: 10. f (Se e-3x XE -3e*-4e*)dx 4e)dx e-2

A: Solution: The expression can be written as  

Q: 6 fy 2 -6 -4 -2 2 4 6. -2 -4 -6 4.

A:

Q: wollol o 7. This is a continuation of the last problem. Let f(x) = %3D (a) Find the area under the c...

A: Given query is to find the area and rate of change of area.

Q: Let g be the function below. The domain of g(x) is of the form [a, b], where a is and b is The range...

A: From the given graph we can see that, Domain-[a,b]= [-2,2] (extent of the graph in x-axis) Range-[c,...

Q: If f(x) = 6 sinx + 6 cos a, then %3D f'(x) = %3D f'(4) = %3D

A: Simply take the derivative using standard derivative forms. 

Q: Find the area of the region between the graphs of f(x) = 9x + 8 and g(x) x² + 2x + 2 over [0, 2]. %3...

A:

Q: Find the standard form of the equation of the circle with endpoints of a diameter at the points (5,4...

A: NOTE: Refresh your page if you can't see any equations. . endpoints are

Q: The position vector of points A, B and C are OA=2i-j+nk, OB-1+3j-2k and OC =-i-mj-3k, where O is the...

A:

Q: lim - 5 + -1 구 6- 4- -5 -4 -3 -2 -1 -- -7 -6 2 4 5 -3 -4 -6- -거 Does the limit exist? Select an answ...

A: We have see that 8n graph. Here is given that  Constan t function y=-5    We now that constant funct...

Q: Suppose that f(x) has a domain of [4, 12] and a range of [5, 18]. What are the domain and range of: ...

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Q: Evaluate (x? + 1) In x dx.

A: The integration of the integral is (x2+1)ln(x).

Q: Solve this di4ference cqua tizouusing E Z-T. y(K) - 4 y (k-1) + yCK-2) = 25in Jar %3D

A:

Q: Which is the derivative (dy/dx) of y=sin-1 tanx?

A: Formula used   (fog)'(x) = f'(g(x))*g'(x)

Q: If f(x) = 3+ 7x – 4a?, find f'(4).

A:

Q: dy cos²x- Solve cos?x +y= tanx

A: It is of the form  dy/dx +Py=Q

Q: Determine all of the relative extreme values of the function f (x) = 1 – (x – 2)- %3D

A:

Q: Find the area of the region between the graphs of f(x) = 10x + 8 and g(x) = x² + 7x + 2 over [0, 2]....

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin (z) h(x): (cos (t) +...

A: Topic:- application of derivatives in integration