D) 1. Which of the following is the antiderivative of f(x) = x' + x +1? A) 3x +2x + C C) x' + x +x + c D) . 3x +2x+C B) a O b C O d

Q: Exercise 1. Find the following limits sin 3x+ tan 2x2 2x? + x tan 2x 1) lim 2) lim 5x +x tan 2x 3)…

A: Use limit property

Q: dy Use implicit differentiation to find dx 2x - 3 5y? 2x +3 dy dx

A:

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Q: Problem 1 Find the general solution at (4,-1), specify method used. 4 dy + y dx = x² dy %3D

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Q: 1. Use the graph of f(x) below to a Determine tht demain and ramge-ofthe fencion D Tind all x such…

A: From the given graph we have to find its required information.

Q: Evaluate the limits lim 5x+ 6. undefined

A: We will find the limit.

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A:

Q: If log, (5x + 6) = 5, then x = You may enter the exact value or round to 4 decimal places. > Next…

A: We will solve for x.

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A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

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A:

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A: 1)∑n=1∞ an is convergent,then the series may not be convergent.for example, an is alernating…

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A: Topic:- application of integration

Q: 7. Determine the integral| 2+1

A: The given integral,    ∫x dxx2+1

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A: Greens theorem

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A: 2+52+3+72+......9

Q: 1 ): The vectors 2 and form a basis the vector space R'. Select one: O True O False

A: Here we state whether it is true or false.

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A: To find the work done in both the given cases.

Q: Find the Jacobian of the transformation. x = 6u/v,    y = 7v/w,    z = 4w/u ∂(x, y, z) ∂(u, v, w) =

A: To find the Jacobian ∂x, y, z∂u, v, w of the following transformation.x=6uv, y=7vw, z=4wu

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A:

Q: b. In the interval (0,5), f is not differentiable at x = (Use a comma to separate answers as…

A: Function is not continuous at those point where the graph of the function has missing points in…

Q: 1+x dx V1-x

A:

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A:

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A: Given query is to find the the function.

Q: The functiion?n f(x)=/x) is odd or even?

A: Explanation of the answer is as follows

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A: Question- Find the volume of a cuboid whose length is 5x, breadth is 3y and height is 10z.

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A: Here we have to find relative maximum ,mininmum points and saddle points.

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A:

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A: Consider the integral  ∫sec2θ tan9θ dθ

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A: The given function,  y=x3-5x2-8x+3

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A:

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A:

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

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Q: y - arcsin(4 + sin(x)) dy Calculate da Type sin(x) for sin(a), cos(x) for cos (a), and so on. Use…

A: The given equation is;  y=arc sin[4+sin(x)].

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A:

Q: Question 11 Find the area of the triangle having the given measurements. Round to the nearest square…

A: Given    Angle C = 100°   Side a = 3 yards    Side b = 8 yards

Q: dy/dx+4y/x=6x-5 if y=1 and x=1 then C equal -2 -1 O O O O O

A: Note: According to our expert guidelines only one individual question is to be answered kindly…

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A:

Q: Use Newton's method to approximate a root of the equation 5x' + 6x* + 2 = 0 as follows. Let æ1 = 2…

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Q: x2-4 dx S xVx2-9

A: solution:-∫x2-4xx2-9dx=∫xx2-9dx-∫4xx2-9dx                            =12∫2xx2-9dx-4∫1xx2-32dx…

Q: Compute the partial derivatives: ,2 z = In(x² + y³) az dy

A: Use partial derivative

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A:

Q: 1. f(г) — 2? + Зх — 6, д(х) %3 2

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

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A:

Q: A. Evaluate the following integrals. 1. S(Vcos x + sin x)*dx xp. 2. S cos 3x dx

A: LetI=∫cosx+sinx2dxI=∫cosx+2sinxcosx+sin2xdxApply the Sum RuleI=∫cosxdx+∫…

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A:

Q: Sda = In|a| +C and S da = In|a°|+C. In|x2|+ C. Sæ" dx xn+1 +C, for any real number n. n+1 If f(x)…

A: 1.∫1xdx=lnx+c is true. We know from integration formula.  2. ∫1x2dx=∫x-2dx Solving the integration…

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Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Given equation is quadratic so accordingly draw the graph and then solve .