Evaluate the indefinite integral. (Use C for the constant of integration.) x3 dx 1 + x8

Q: Evaluate the integral below by following the steps given. 1 xp= x2 I || 6/ a.) Show that the substit...

A: Given: I=∫19-x2dx  ...1   As we know from the trigonometric identity: sin2θ+cos2θ=1 And ∫a·fxdx=a·∫f...

Q: Find the inflection points of each of the given curve.  y = x3 – 3x2 + 4

A: ⊙a function y=f(x) is said to have inflection point at x=a, if its second derivative i.e. d2ydx2 cha...

Q: (2y sin a cos x – y + 2y²e#v° )dx – (x – sin² æ – 4xye*v* )dy = 0 Let M be the coefficient of dr and...

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Q: Given a particle is moving in a curve r(t) = cos 7t i + sin 7t j + 6t k. Find the tangential compo...

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Q: Graph of a function Using the graph find the following: (6.5) a, lim f(x) e. lim f(x) 4 (4.2) f. lim...

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Q: 1 2x-9 13 Evaluate lim 1 x→-2 - 2x+8 4

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Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

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Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

A: As per our guidelines we are supposed to answer only one question i.e. the question no (A). For the ...

Q: Find the direction cosines of the vector v = (2, –4, 4) %3D

A: The given vector v→=2,-4,4

Q: Find the length parameter of the curve r(t) = with base point at ( 7, 0, 0 ).

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Q: dx 4x x 3.

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Q: 1 cot е. n=1

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Q: 1. Evaluate the following limits. 3x + 10 – 4 (a) lim 1+2- 12 - 4x + 4

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Q: Question 3 Consider the function h(x,y, z) = e10-xy + sin(2nz). (а) (i) Calculate the gradient of h....

A: As per bartleby guidelines we only give first question answers with subpart.

Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1. %3D Provide your answ...

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Q: Solve the given differential equation. All solutions should be found. dy 3a? - 8y -y 8x+3ry dx NOTE:...

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Q: Evaluate the following: 4dt 5. 5t+ 2 1.

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Q: For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depth of water a...

A: Given information: 2.5m=Minimum depth of water for a boat to floatdt=the depth as function of time a...

Q: Draw a direction field for the given differential equation. Based on the direction field, determine ...

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Q: 1. x cot2 xdx X CO

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Q: Find the solution of the given initial value problem. ty' + 4y = t –t+ 5, y(1) = 4, t >0

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Q: For the functionf(x) = |x – 2|, evaluate the left and right limits of f(x) as x approaches 2. Provid...

A: We are asked to evaluate the limit.

Q: -x' + 2 Find the slope of the secant line between x = -3 and x = 3 for the function f(x) = (Enter yo...

A: Given that a function f(x)= (-x3+2)/(2x-2). And we find secant slope of line between x=-3 and x=3 fo...

Q: Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt dy dt 15, find dy/dt when x = 4...

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Q: В. up to 6 decimal place. Then, answer the corresponding question in each number. Evaluate the follo...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find the inflection points of each of the given curve.  4y = 3x4 – 16x3 + 24x2

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Q: Click to see additional instructions Graph values can be estimated to the nearest 5 units when neces...

A: A) Labour supply Curve: Ls=2W MRPL=100-L MCL=L MRP=MP*p P=MRP/MP=(100-L)/(10-0.1L)=10  

Q: Find and classify all critical points of the function f (x, y) = x* + y* - xy. 4(0) = 4 (010) D= 12(...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: Estimate f′(2) for f(x)=6^x. Be sure your answer is accurate to within 0.1 of the actual value

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Q: Find the slope-intercept form of the equation of the tangent line to the curve defined by fla) = 3-2...

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 1 + n2 a, = (Use...

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Q: If a series converges, then either it converges absolutely or it converges conditionally.

A: Given:        Absolute convergence:          A series ∑an converges absolutely if ∑an converges.    ...

Q: Evaluate the integral / cos (r) sin(x) dx 16 COS using the substitution u = cos(x). ,16 cos" (x) sin...

A: This question is based on indefinite integral.

Q: Find the area that is inside both r=1−sinθ and r=2+sinθ

A: Graph:

Q: if x<1 fx -x if 1sx<2 if 15x<2 f(x) 2x if x 22 Graph the given function.

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Q: What is the general solution to the differential equation = (1 + y²)e*? dx

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Q: 1 Evaluate each of the following limits, then identify any vertical asymptotes of the function f(x) ...

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Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 %3D Xa Xa Xa lim p(x) = 0 lim q(x) = 0, %3D Xa Xa ...

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Q: 2 x y ey + y² e*v° +1) dæ + (æ² e**v +2 x y e" ° – 2 y) dy = 0

A: We have to solve given differential equation.

Q: c. Let P(x, y) = y² + sin¬1 x² and Q(x, y) = 2xy + 4x. Suppose that C is the parallelogram with vert...

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Q: .3 dx

A: Definite and indefinite integral 

Q: Find the solution of the given initial value problem in explicit form 1 y = (1 – 7æ)y² , v(0) = - 2 ...

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Q: What is the general solution to the differential equation 2e* cot(y) dx – (4 + e*) csc²)dy = 0 ? (4 ...

A: Here, the given DE is: 2excot(y)dx-(4+ex)csc2(y)dy=0

Q: dy = ay + b whose dt Write down a differential equation of the form 3 as t → o. 4 solutions all appr...

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Q: uate lim t→+∞\ 3t2 + 2

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Q: cos(2x) dx sinx+cosx

A: Given:         ∫cos2xsinx+cosxdx     We know that          cos2x=cos2x-sin2x        =∫cos2x-sin2xsin...

Q: 4 sin320 cos20 d0

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Q: Write this term in mathematic language: bcos(ax)^2, a-(sort(5)-1)/2

A: Let's find. 

Q: [2x+5y=7 3x + 2y = -6' 1. Solve the linear system using graphical method.

A: The given linear system,2x+5y=73x+2y=-6