Q.3 - Evaluate |sec xtan.x dx.

Q: Find the standard form of the equation of the hyperbola with •center at C(−2, 1), •a vertex at V(−2,…

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Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: By using rectangles whose height is given by the value of the function at the midpoint of the…

Q: Consider the following piecewise function: 3x + 6A ЗАх — 7В if — 3 < x < 3 х — 12B if x < -3 9(x):…

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Q: ) Let R={(x.y): 0sx,Osy, +ys4) be enclosed region. The result of the following double integral (by…

A: Given region R=( x,y) : 0≤x, 0≤y , x2+y2≤4

Q: 4 Using Trigonometric Substitution x2 +4x - 5 dx = | f(e)de find the new limits of integration. X+2…

A: By using Trignometric Substitution fin the limits∫14x2+4x-5x+2dx=∫abf(θ)dθ

Q: discuss and sketch the graph of the given function f (x) = e" + x %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: ) Find the pdar eawation for the cartesian curve x²-y²= \x?+yz A)rsinz0=2 b)r=ュ )cos 20=1 Dr=cos2@…

A: In polar coordinates, substitute x =r sin(theta) and y= r cos(theta)

Q: 5. [ +4x+3 x4 –5x2+4

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Q: S csc6 cot* w dw W

A: Given,           ∫csc614wcot414wdw

Q: 2) Given: f(x) = x+sin(2x) over the interval (0,7) a) Use a sign analysis to find the relative…

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Q: x(z – 2y)100 = yz + x; Yx and x,.

A: Solution is given below:

Q: Use the Laplace transform to solve the initial value problem. y''+6y'+34y=136, y(0)=3, y'(0)=0…

A: Solution is given below:

Q: b) - 1 Use polar coordinates to evaluate the double integral || (4x2 +4y²) dA R where R is the…

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Q: x³ + 6x2 + x+2 2 Tan Ve fx-1 ax + In{(x+ 1)*(x² – x + 1)"| + The resulting integral of -X+ -1 + C,…

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Q: The rational function 340t V(t) t + 2 models the velocity, V(t), in miles per hour, of a dragster t…

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Q: 1.) Find the area bounded by the region x = 4y + 4 and y= x+ 2

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Q: Given: dx x3 Using trigonometric substitution , solve for the integral form in terms of 0. A sin? 0…

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: The given function,   f(x)=1x+ln x, 0.6≤x≤5

Q: Evaluate | 4x2 + 4x + 5 dx

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Q: Find the limit or explain why the limit does not exist: x2 + 3x lim sin x Note: x is measured in…

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Q: Compute the derivative of each function. f(x) = [sin(4² + x)] [cos(x* + 4)] %3D

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [-3,…

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Q: |(x² + a) 5 5x The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers.…

A: Given:        ∫5xx3+x2+4x+4dx Apply linearity:     =5∫xx3+x2+4x+4dx Factor the denominator:…

Q: 耳 ixn=wyr Show that d P

A: Given a function is two variables.

Q: Question- Let R be the region bounded by y= x+2, y30, and x=3. Then draw the region and evaluate the…

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Q: 1) Find the derivative of the following trigonometric expressions below. Please show all of you work…

A: A)y=sin x+ cos x -3x2dydx=ddx(sin x)+ddx(cos x)-ddx(3x2)dydx=cosx -sin x -6xB)y=-12…

Q: S, f(2)dx+ f(x)dx = 21. 23. S f(G)dr + J, f(x)dx =, = <p(x)f f – xP(1)f !!

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Q: | 10re", | 2:r3 + 3x² – 12x, r>0 * <0 Given: f(r) = (a) Identify all critical numbers of f. (b)…

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Q: 4) Equation: 4x +9y² = 1 1 Given that dy/ dt =8, find dx / dt when (x,y)= 3 9

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Q: A company manufacturers and sells z televisions sets per month. The monthly cost and price-demand…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: Sketch the curve y = x4 - 6x2 and show intercepts, maxima and minima and points of inflection

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Q: x² - dx ? Using trigonometric substitution, what is x3

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Q: Which of the following is Inx – 6x + 18| + arctan(- (x – 3)) +C equal to? 2 – 6x + 18 x - 3 V 2 In…

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Q: 5. Use differentials to app. .. the value of V(3.01)² + 2(0.99) – 3 in four decimal places. o 5.…

A: I am attaching image so that you understand each and every step. Let x= length of box y=width of box…

Q: %3D 15. If the vector field F(x, y, z) = xz i+ xyz j-y k, find curl F.

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Q: Find the Volumes for the fallowing sollids whose theishts are de fined by ZCXyy) and bases are the…

A: Double integral

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: By using the cylindrical shells method we have to find the volume.

Q: Compute the derivative of the given function. log3 x f (x) = %3D cot x - 2x2

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Q: Find the polar equation of the line y = 7x + 5 in terms of r and 0. (Use symbolic notation and…

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Q: (x – y)dx + xdy = 0.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = | f(u) du where g(x) =u, to evaluate the…

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Q: 1. S(5x4 + 2x – 1)dx 2. S dx. 3. 늘e-ndx 4. S cot?x dx In 4x 5. S A dx

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Q: Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y = x and y = x2.

A: Given problem:- Use Green's theorem to evaluate ∫c (xy + y2 )dx + x²dy  by the curve y = x and y =…

Q: S tan5 x dx O 1/4 sec^2 x(sec^2 x - 1) - In Icosx |+ C 1/4 (sec^4 x - sec^2 x -In Icosx |)+ C O 1/4…

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Q: Consider the function y = x^3 + 2^2 − 3x a) Sketch the graph of function. b) Find the instantaneous…

A: This question can be solved using the concept of graphs and derivatives.

Q: Consider the following piecewise function: Find the values of the constants C and K that will make…

A: We have to find value of C &amp; K

Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: -4 Vx²+4x-5 Consider 1 dx, using trigonometric substitution find x. x+2

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