Evaluute the integra dx 0 16+49x2

Q: Evaluate the limits. Show your solutions. 1. lim lim 3. lim 北主 2.

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Q: A point has rectangular coordinates (3, - 8). Convert to polar coordinates, with r 0 and 0<0< 27. (r...

A: let (x,y)=(3,-8)  

Q: y + = x2+y2 dx xdy when x=J3', y=1

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Q: 40. 1 1+ 1/n n = 1 n

A: According to our policies we are allowed to solve one question at a time so kindly repost the other ...

Q: AWO Lim tanx L Szx Lim X-CSc メーラク メ メラ。 OLim ()) S→の 6 Lim di6-X +1XI メー→ロ y4 (3) Lim J→ y2ラッチアy49 4...

A: 1. limx→0tan xx2. limS→∞SS+1S25+S23. limy→∞y4y4-7y3+7y2+9 Note:    Multiple parts are given, we are ...

Q: у" + 16у %3D0, yT4) -2y' (π/4) -1 =

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Q: 5) Given a curve y = f(x) has a tangent line y = 3x - 4 at a point (- 2, 1) and a tangent line y = -...

A: Topic  = Derivative As per guidelines , At a time only one question can be answered.

Q: Find the the arc length of y = 3x² – 2 from x = 0 to x = 4 No decimal entries. Find the exact value....

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Q: The curve y+1=x< is rotated about x-axis. Which of the following is/are true? O A. V= 16TT /15 O B. ...

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Q: Evaluate the improper integral Xe* dx Ina A) integral diverges ৬) C) o D) Inz In2 2

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Q: Setup an integral to find the surface area obtained by rotating the curve y = x x = - 6 for 60 < x <...

A: Here we will setup the integral for finding surface area, 

Q: Show that the function f(x, y) = xy – 6y2 is differentiable by finding values of ɛ, and ɛ, that sati...

A: We will calculate the steps and then by definition will prove that f is differentiable.

Q: using undetermined coefficients (D^2-2D+2)y=24e^x sin3x

A: Given: (D2  -2D+2)y=24ex sin3x

Q: Find a function f and a number a such that, for all x > 0, S. f(t) -dt = 2/x. t2 6+ a

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Q: floor refinishing company charges $1.87 per square foot to strip and refinish a tile floor for up to...

A: (a) To find: The equation for the amount C they will charge to refinish a floor when x≤210 Given inf...

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

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Q: T/2 cos t dt 1 + sin²t

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Q: solve using reduction of order (D^2+1)y=tanx

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Q: 2. Sketch the graph of g(x) and discuss the continuity and discontinuity at x = 2 X = 0 g(X) = PEN

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Q: Considered the graph of Function a. -2 a. lim a (x) x--2- Choose

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Q: 6. A water tank is shaped like a cone with the apex point at the bottom, where the cone has radius 5...

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Q: Setup an integral to find the surface area obtained by rotating the curve y = e about the line y = 1...

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Q: dx 72

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Q: Use periodicity to first rewrite each expression as the same trigonometric function of an angle in [...

A: Given: sin9π4

Q: aterminate form, use factor 2-1 1. lim X14x+4 +2x-15 2. lim I-3 x+4x-21 x+x-20 3. lim X-4 r-64

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Q: 11. True or False Every relation is a function. 12. True or False The domain of (f·g) (x) consists o...

A: 11. Every relation can not be function because for relation there is only one image of input X but s...

Q: 1. Suppose that v = (0, y, 0) is the velocity field of a fluid and let S be the surface defined by y...

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Q: ORDER DEGREE LINEAR OR NON- LINEAR a2u a?u a2u = 0 ax2 ay2 ' az² (x + y)dx + (3x? – 1)dy = 0 d²r d?r...

A: Let's find. 

Q: A minute hand on a clock is 5 inches long. Determine how far the tip of the minute hand travels betw...

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Q: y Iny Ae^+ Bex

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Q: The distance, in feet, a moving object has traveled after t seconds is given by 3t/(4 + t). Find the...

A: We can find the required acceleration as below.

Q: What is the general solution? d3x d?x – 4x = 0 dt3 dt2

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Q: ItcosX

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Q: 4. ( * x)dk =(2y-)dy 2Y- I+x?y2

A: For the solution follow the next step.

Q: Evaluate the following integral (please write it out, instead of tying if possible)

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Q: Find all intersections of the curve y = 10 - x and y = x + 8.

A: To find intersection point of the curves.

Q: Lesson 2 1. For the function y glx), analyze and find: a. lim g(x) b. lim g(x) c. lim g(x) d. lim g(...

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Q: Consider the following Tarski world (same world as the previous question, but different questions): ...

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Q: There are ​$320 available to fence in a rectangular garden. The fencing for the side of the garden f...

A: We need to find x and y.

Q: fit) 구 4- -jo -9 -8 -7 -6 5 4 3 -2 -1 8 9 10 -8 -9 Estimate lim f(t) t→ - 2

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Q: It is f(r,y, 2) = xyz Determine the expression for the options below: I. az af az = Y. af az 0. af T...

A: The function is given by fx, y, z = xyz To evaluate: The expression of ∂f∂z

Q: Evaluate the double integral // (3r - 7y)dA, where D is the domain bounded inside the tangle with ve...

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Q: sinh? 2x dx 3sinh? 2xdx

A: Given ∫-3 sinh3(2x) dx ⇒∫-3 sinh3(2x) dx⇒-3∫sinh3(2x) dx Now solving ∫sinh3(2x) dx substitute u=2x→d...

Q: Solve the differential equations. dy = (y²xe** – 3x²y)dx

A: Given:- dy=(y2 xex3 -3x2y)dx  To find:- General solution for given differential equation

Q: 4. y = vx + 2 x,for-

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Q: For the given vector function below, find the equation of the plane that contains the osculating cir...

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Q: 1. Find the determinant of the following matrices by using elementary row operations. 4 -7 9 1 6. (d...

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Q: eliminate arbitrary constant, x=k+ct

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Q: 4. For the function z = e cos(y) find the equation of a. The tangent plane to the given surface at p...

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Q: - Determine if the function is even, odd, or neither. State its symmetry, if any, and graph. (a) f(x...

A: Even and odd function