y = f(x) = (5+ x²)/2 (x³ + 1)/4

Q: Find the first fve terms of the sequence whose general term is defined in each item. Then, give its ...

A: Explanation of the answer is as follows

Q: (х+ 2)" nn n=1

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Q: We studied Apex Calculus for this topic. However, Active Calculus addresses it as well, from a sligh...

A: Let the trapezoids estimation for area bounded by the curve be denoted by Tn, the left endpoint esti...

Q: ) FIND F'6): c. f() - x 2- 3x2 F. f6) = VI-x

A: f(x)=x2-3x2differentiate w.r.t. xf'(x)=(2-3x2)ddx(x)-xddx(2-3x2)(2-3x2)2f'(x)=(2-3x2)-x(-6x)(2-3x2)2...

Q: This exercise refers to the hyperbolic paraboloid z = y - x. (a) Find an equation of the hyperbolic ...

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Q: If R,,R, and R, be the diameters of the excircles of a AABC (opposite to the vertices A, B and C res...

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Q: Ô https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=2751406... Use cylindrical c...

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Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 3x?y - 4xyz + 8yz? f(x,...

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Q: Find the equation of the hyperbola in standard form centered with foci located at the points (-6, -1...

A: In this question we will use basic of calculus i.e equation of hyperbola. We will simply write the s...

Q: If 6h term of a G.P. is 9375 and its 4th termis 375. Find its 9th term.

A:  

Q: Consider the following. w = cos(x - y), x = t2, y = 1 (a) Find dw/dt by using the appropriate Chain ...

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Q: 7) Use a tangent line approximation with the function g(x)= Jx to estimate 9.2 . %3D

A: topic - tangent line approximation note :as per bartleby guidelines we are supposed to answer only f...

Q: Solve using Algebraic substitution 3+ Vx +2

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Q: Find f, and f and evaluate each at the given point. F(x, y) = e*y?, (In 4, 2) f(x, y) f,(x, y) = f(I...

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Q: Find the derivative of the function In(4x+10) f(x) = x* sin(9x + 12) +

A:

Q: ) FIND F'6): c. f() - x 2- 3x2 F. f) = VI-x

A: Given:- e.    f(x)=x2-3x2 f.    f(x)=1-x1+x To find:- f'(x) 

Q: Find the domain of the vector function. (Enter your answer using interval notation.) t- 2 r{t) = (, ...

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Q: Part I Find the general solution of the following differential equations. dy x dx y а. dy b. = xy dx...

A: According to the guidelines in case of multipart question if nothing is mentioned then we are only s...

Q: What is the particular solution of (3y? + 10ry?) dæ + (6zy - 2 + 10x?y) dy = 0 when x = 1 and y 2 ? ...

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Q: A drug is administered to a patient, and the concentration of the drug in the bloodstream is monitor...

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Q: Solve the differential equation d'x(t) +3 dx(t) + 2x(t) = 4 e' dt? dt Where x (0* ) = 1,x (0') = -.

A: Topic:- solution of differential equations

Q: me: Which transformations have been applied to the function f(x) = log(x) to produce the function: g...

A: The objective is to find the transformations that have been  applied to f(x) to form g(x).

Q: By differentiating implicitly, find the slope of the hyperboloid 22 + y? – 22 = 1 in the x-direction...

A: We have to find slope of the hyperboloid x2+y2-z2=1 in the x-direction at the points (a) 1,2,2 (b) 1...

Q: In (by — аx) : COS X

A: taking anti log and solve

Q: nsider the following equations. Fy) = y? + 7 glv) - 0 y- -1 y = 2 etch and shade the region bounded ...

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Q: Find the limit. lim (x, y) - (1, 34) Vx+ y Discuss the continuity of the function. continuous for x ...

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Q: Find the total force of water pressure exerted on the glass window of an aquarium with the following...

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -5, 2) Radius:...

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Q: xii. dx -x4 V3-2x-

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Q: What is the particular solution of the differential equation (z+ y) da + (r- y) dy = 0 when z = 0 an...

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Q: Find both first partial derivatives. f(x, y) = 3x − 5y + 2 fx(x, y) = fy(x, y) =

A:

Q: That is *z' in the given Bernoulli DE (6xy³ - y)dx + 2x²dy = 0? lect the correct response: O -y-2 y2...

A: Rewriting it, dydx=-(6xy3-y)2x2dydx=-3y3x+y2x2thus we have,dydx-y2x2=-3xy3    

Q: (2xlnx – xy)dy + 2ydx = 0 (Reducible to exact)

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Q: If / 10 - 7x2 sf(x)s/10 – x² for - 1<x<1, find lim f(x). lim f(x) = x→0

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Q: th² (t) В V = 2

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Q: (2xlnx - – xy)dy + 2ydx = 0 (Reducible to exact)

A: Here, the given differential equation is: (2x ln x-xy)dy+2ydx=0⇒2ydx+(2x ln x-xy)dy=0...(1) Comparin...

Q: Determine the DE of the family of Circles with center at the origin

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Q: 2) Suppose the graph of f (x) and the graph of its derivative f'(x) are shown below. Find an equatio...

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Q: Q2) Plot, on the same figure, sine and cosine graph for x from 380 degrees to 986 degrees with a ste...

A: We have to plot graph of sine and cosine simultaneously from x=380° to x=986° Conditions: x axis sho...

Q: (x5 +3)° (5x*dx) +3) (5x*dx) %3D

A: Given integral: ∫x5+355x4dx Substitute x5+3=t and differentiate it w.r.t 'x' ddxx5+3=dtdx5x4dx=dt

Q: 5. A certain compound is analyzed in a laboratory to test the theory that the rate of conversion of ...

A:

Q: 1. Find the maximum value of f(x, y) = 4xy where x > 0 and y > 0, subject to the constraint 9. = 1.

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where appl...

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Q: Identify the quadric surface. 9x2 + v2 - 9z² - 54x - 4y - 54z + 4 = 0 hyperboloid of one sheet ellip...

A: The objective is to identify the quadric surface.

Q: 8+tan x dx 1-sin?x i.

A:

Q: A graph of a sinusoid has peaks at points (2, 3) and (4, 3). Describe the process to determine the p...

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Q: Given the equation of the ellipse, list the coordinates of the center, vertices, co-vertices and foc...

A: Given: 1. (x-1)29+(y-5)24=1 2. x225+(y-6)236=1  3. (x+1)249+(y+2)225=1

Q: Use the limit definition of partial derivatives to find f(x, y) and f (x, y). F(x, y) = x² – 5xy + y...

A: on using the definition of limit of partial derivative we will get

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (5...

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Q: Σ n² – 3n + 2 n=3

A: Explanation of the answer is as follows