In x25+x dx , we let x= 5sine.

Q: 4.) f (x) = %3D x3 5.) f (x) = 2x² + Vx

A: we have to find the differentiation of given function

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Q: 10x ME 10. 4+ 25x'

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Q: Consider Evaluate 3x)

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Q: Use the appropriate Product Rule to evaluate the derivative, where ri(t) = (9t, -10, -t°),r2(t) =…

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Q: Qel Fnd the lais Llim hth Cosh んう0 Sinshe-Cosl 2lim メa00 2x2_8

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Q: -6x-'dx

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Q: Differentiate the following functions. Show your complete solutions and emphasize your final answer.…

A: 1) f(x)=25x    Differentiate with respect to x   f'(x)=252) f(x)=-4x5+2    Differentiate with…

Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx y V9x² + 16

A: The given integral is y=∫dx9x2+16 We have to solve the integral using Trigonometric substitutions…

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x2 ,y = 4.

A: Set up the triple integral and solve to get the desired volume.

Q: sinh4x cosh 4x dx can best be evaluated by General Power Formula. A True False

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Q: Draw the graph of the following relations and/or functions. Make sure that all "important" points…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: Evaluate the following integral using Partial Fractions Method: x3 + x2 dx x2 + x – 2 y :

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Q: Which of the following is one of the correct steps to evaluate cos'x dx to obtain the desired…

A: Solving

Q: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

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Q: Differentiate the following function and factor fully. g(x) = (2x – 1)*(2 – 3x)“ |

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Q: / sin*0 d0, factor sin*0 as (sin²o)² sin® and let sin²0 = -(1– cos20). To evaluate A True False

A: Given problem:-

Q: The shaded region R is bounded by the lines x = 0, y = 0, and the curve y = x² – 2x + 2 as shown in…

A: Here, the volume is: V=∫03π(y)2dx =π∫03x2-2x+22dx=π∫03(x-1)2+12dx

Q: A particle is moving in space and its position at time t is given by r(t) 4(cos t)i+ 4(sin t)j+ /²k,…

A: Given problem:-

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Q: Consider the parametric curve defned by r=3+5t and y=1+ Over which values of y does t curve has a…

A: Given problem:- Consider the parametric curve defect by   x = 3 + 5t and y = 1 + 3t   Over which…

Q: B. Evaluate the following 1 dx 2. 2 tan(x)dx 3.

A: We have to slove above question

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 1 1 lim ttoo\ 6t2 +7' 5t (?, ?)

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Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

Q: + c2e4x The auxiliary equation of a second-order homogeneous linear differential equation is m - 7m…

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Q: Evaluate triple integral f, SE Lx? - y?)dz dy dx.

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Q: Q2) Convert the polar functionr tan20 to cartesian.

A: Here we have to convert the polar function r=tan(2θ) to Cartesian.

Q: Find the Area bounded by the curves y² = x and x = 2y – y². %3D

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Q: 3 3 25x ? 2 7x3 3 16х5 dx 5

A: use property of integral to solve this.

Q: Cha invests Php5,000 in an investment that earns 6% per annum. How many complete years does it take…

A: Given Cha invested(P)= Php5,000Rate of interest (R)=0.06Time (t)=?Amount (A)=Php 10,000We know that…

Q: In x²/25+ x² dx , we let x=5sine. A True

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Q: Find the arc length of the parametric curve. x = e', y = et, z = v2t; 0<t < 7 %3D L

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Q: 9x 4. J, 16+9x

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Q: If f(x) = x'+ 3x + 4x + 5 and g(x) = 5; find g(f(x)) %3D %3D O 5x? + 15x² + 20x + 25 O 5x² + 15x +…

A: Topic = Functions As per guidelines , At  a time only one question can be answered. please repost…

Q: Use the Midpoint Rule for the triple integral to estimate the value of the intergral. Divide B into…

A: Note that, 0≤x≤4, 0≤y≤8 &amp; 0≤z≤4 generate the cube. And, the mid-points of the cube are:…

Q: 1+2 sec (Vx dx Į Va sin (/æ) tan (Væ) sin (/r sec (Vr and sec (Vx Hint: tan (yx =1. cos (Vx

A: Integration

Q: Find the volume of the solid that results when the shaded region is Y = x revolved about the…

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Q: Find the equation of the tangent line to the curve y = 4x-8 at the point (3.-2).

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Q: Evaluate (s 2'ds Oa 2 1) In2 Ob. 2 (sln2 - 1) (In2)2 O. 2(sin2 - 1) (In2)2 Od 2° +1) In2

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Q: dy by implicit differentiation. dx Given In xy+x+y=2. Find

A: lnxy+x+y=2Differentiate w.r.t x1xyxy'+y+1+y'=0xy'xy+yxy+y'=-1y'y+1x+y'=-1

Q: g"(x) sin(x- 1) x-1 -4 13 A(x) = kr -8x + 6, -1 10 x>3 8 3 -1 (E) Find all x value(s) on the open…

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Q: Evaluate: (cosh²2r+ sinh²2r) dr A r +C -sinh 4r +C 4 B (c) None - sinh 2r + C 2r +C

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Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily total…

A: In this question we have to find how much is the daily maximum profit ( in dollars).

Q: Evaluate triple integral , S S dz dy dx. 4-y -2 Jx2 Jo

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Q: 2.Find the indicated limit or state that is does not exist x* – y* C. lim (x,y)→(0,0) x² +y ху d.…

A: Solving

Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

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Q: *) dx Evaluate:

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Q: Q5/ Use Linear Regression to fit the following data: 1 2 3 4 6 Y 4 6. 10 10 8

A: