sin (x²) + C

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: Find the limit of the function along the x-axis xy lim (x.y)-(0,0) x2 + y?

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Q: dx 9x2 - 12x-5

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Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

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Q: For f(x, y) = 2x3 + x²y2 - 5y3 + 10,

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Q: Show that ri =1+i, r2 = 1-i is a solution of (3+ i)x + (1+ i)x2 = 4 +4i %3D

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Q: The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be ...

A:   ---------------------------------------------------------------------------- Key points: If f'x  ...

Q: Evaluate the integral dx et – e-x

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Q: Apple iCloud Yahoo Bing Google Home Wikipedia Facebook The Weather Channel Yelp TripAdvisor https://...

A: Given query is to find the value of the integral.

Q: S Vx + 3(x + 1)dx

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Q: Given soel end price cdemand) functions Cq) 120g 40,200 and p(q) = -2.1q + 890, what is the marginal...

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Q: The form of the partial fraction decomposition of a rational function is given below. 16 – (x² + 10x...

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Q: 25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

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Q: 3. The sides of a triangle are given as 3x, x+1 and 3x-1. If the perimeter is 56 ft, find the area. ...

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Q: du If u = x²y + y²z + z?x then at (1,1,0) is ax %3D -

A: Given that u=x2y+y2z+z2xTo find :∂u∂x  at 1,1,0Solution :u=x2y+y2z+z2x∂u∂x=2xy+0+z2∂u∂x=2xy+z2

Q: Write out the form of the partial fraction decomposition of the function appearing in the integral: ...

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Q: 2. Let R = {(1, b) ERX R: there is an integer k such that a – b = 2kn}. Prove that R is an equivalen...

A: us the definition of reflexive , symmetric and transitive property of relation to prove it is equiva...

Q: O Find the linearization Lcx) for fex) 3x -8x+7 when a=

A: We will find the linearization L(x) for the given f(x)=3x2-8x+7 when a=-2 in the following step.

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: 8. The cost of producing x ounces of gold from a new gold mine is C = f(x) dollars. a) What does f'(...

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Q: B. (P +Q+R+M+ N) u= V4 - Vw +1 du Pw + Qw² +3 +R/w +1 u" or dw? 9u" (w +1)"

A: Given

Q: Sketch the region enclosed by the given curves. y = tan(9x), y = 2 sin(9x), - π/27<x< π/27 y y 3 3- ...

A: Here, to sketch the region bounded by the curves y=tan (9x) &amp; y=2sin(9x), -π27≤x≤π27

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =...

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Q: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

A: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

Q: 3+ 4x2- -9х-36 3. у 3 4x2+28х+48

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Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then, ...

A: Given problem:- If a cup of coffee has temperature 100 degrees  °C in a room where the ambient air t...

Q: 2. Let a > 0. Find formulas for the following indefinite integrals (these are not all inverse-trig i...

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

Q: 8. Sketch the graph of the following piecewise-defined functions. (-2, if x 0 St² +4, if t -4 a) f(...

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Q: x3+2` dx x2 x3

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Q: Consider the given function and the given interval. f(x) = (x - 7)2, [6, 9] (a) Find the average val...

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Q: sec(Vx) tan(Vx) dx

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Q: %3D %3D a. m 1 b. mZ2 X C. mZ3 P. T

A: Given: 1. PT is tangent. 2. mMXP⏜ = 186°3. mNP⏜    = 90° 4. Point 'O' is a center of the circle.  -...

Q: Sam's Smoothies serves many kinds of smoothies by blending fresh fruits and yogurt. Alex loves smoot...

A: Given query is to find the amount spend on smoothie.

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the...

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Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

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Q: If z = eax+by az then a az is ay

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

Q: х*+ 4x2-9х-36 3. у %3 4x2+28х+48

A: First we simplyfy then taking derivative. 

Q: sec x dx Vcot x 2.

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Q: Given the function f"(x) = -2x(x – 4)(x – 6), what conclusion can be drawn directly from the sign ch...

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Q: The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name th...

A: The parametric equations are given as , x=2cos8t , y=2sin8t Name the type of curve that the pair of ...

Q: — 4т + 10у — 6 2 — 5у — 3

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Q: 6. S 5e-6x dx 25 +e-6X + 22-2x ) dx *)dx 8. S sec(6x)tan(6x) 9-4sec2(6x)

A: You have asked multiple questions and not mentioned which question answer you need, so according to ...

Q: Identify all singular points and points of discontinuity of the given function. HINT [See Example 3....

A: Since function is not differentiable at x=5  So, singular point is x=5  But function is continuous e...

Q: 4. State the domain and range of the following functions. a) у%3D 5х —4 b) y= Vx-x c) ((x,y)ly = vx²...

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Q: If you integrate the below integral successively for FIVE TIMES, how many terms including the C will...

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Q: Evaluate the integral. 2 dx 5 Vx (3 +2x)

A: We will solve the integral by substitution method. By (3+2√x)=t

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: We will evaluate this integral as shown below

Q: along the x-axis so that at time t 2 0, the acceleration of the particle is a(t) = 15Vr. ticle is 10...

A: In this question we will use basic concepts of calculus i.e concept of integration. We will use the ...

Q: ind the area of the region bounded between the curves (make sure you draw the picture). -2x =) y = e...

A: