x² + 4x – 5 dx = Using Trigonometric Substitution :| f(e)de find the new limits of integration. x+2 O a =0, b= 6. O a= TT b = O a = 0, b = 3 O a = . TT b 2 = 6

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: Considerf(x)=x+25xf'(x)=0⇒1-25x2=0⇒x2-25=0⇒x=±5critical points are x=-5, 5

Q: | 2x+11 dx = Consider 1 dx evaluate 3. x² + x - 6 dx- X+3 X- 2 X+3 X-2 x-2 In + C X+3 |(x-2)3 In + C…

A:

Q: Find the largest open intervals where the function is concave upward. 16) f(x) = x3 - 3x2 – 4x + 5…

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Q: az Find and for each of the following functions. ax ду a. z = x²y+ b. z = (x* + x²)y³ c. z = yzsin…

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A:

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A: (1) In the expansion of (x+y)3, each term has the power 3 ,that' why x4,x2y2,xy  do not exist

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A: Given: Now, fxx=∂2∂ x2x5+x2y2+y5+x+y    =∂ ∂ x5x4+2xy2+1    =20x3+2y2 fyy=∂2∂ y2x5+x2y2+y5+x+y…

Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 8 8 + 4 sin(3x)cos(3x), sin(2x) +…

A:

Q: Find:  ∫sin(3x) cos(6x) dx.

A: cos(2u) =2cos2u -1

Q: Evaluate the integral. x³(5x + 4) 22) dx Vx5+x+ +7

A: Find the integral using substitution method

Q: .3 onsider the indefinite integral a - Va + 9 dr: This can be transformed into a basic integral by…

A: Given query is to transform the integral in u and du format.

Q: Vx2 + 4x - 5 dx = Using Trigonometric Substitution f(e)dA find the new limits of integration. 1. x+2…

A: Let's find.

Q: When J x°cos (x-)dx is evaluated using IBP, the value of J v du is? A - cos (x2) B none of the…

A:

Q: f(x) – f(7) g lim x-7 x - 7 se symbolic notation and fractions where neede

A:

Q: | æ(5")dæ

A: topic - integration by parts

Q: sin dx. Use trigonometric groups- 4. cos

A:

Q: Using Integration By Parts, 2x² e3" dx = u v - |2x2 e3" dx = u v-, -Svau Find u v- Sv du · x3 e 3 dx…

A: Integral

Q: 100 10) y = 2 + 9e-3x

A:

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A:

Q: sin2 dx. Use trigonometric groups. cos

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Q: 2. SET UP an integral which can be used to find the volume of a solid generated by rotating the…

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Q: a) y=x² and y=2x+3 aJCurve accurately drown with important points lobeled b Strip is present,…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 2x-1 11. y = 5x+2 12. y=(5x² + 2x + 1 )3 13. y = V2x + 6 /14. y = 15. x = 2x + 3, what is dy/dx? =…

A:

Q: A shot putter threw an 8 Ib 13 oz shot 62 ft, 2 in. Assuming the shot putter launched the shot at a…

A: answer is in next step

Q: Find the derivative of y. 30) y = In (sinh 5x) D . sinh 5x A) coth 5x B) 5 csch 5x C) 5 coth 5x

A: We can answer the question as below.

Q: Rewrite the expression in terms of exponentials and simplify the results. 29) sinh (5 ln x) A) 2x B)

A:

Q: 18) From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides…

A: let "x" be the height of square corners which are cut outso, Box has length =40-2x, width =40-2x ,…

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A:

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

A:

Q: Find a polynomial f(x) of degree 5 that has the following zeros. 5 (multiplicity 2), 0,-3, -8 Leave…

A:

Q: Tutorial Exercise A population of a particular yeast cell develops with a constant relative growth…

A: Let's find.

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x + y 12xy -…

A:

Q: Decide whether the limit exists. If it exists, find its value. fx) 3+ 2+ -2 -1 3 X -1+ -2- 1) lim…

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Q: Evaluate the integral 8) da 21 3-8. by making the substitution u = NOTE: Your answer should be in…

A:

Q: Eveleate inter ssin(2x) dx

A: We can find the integration as below.

Q: If ở x w = i- j+ k, and v · w = 4, and 0 is the angle between v and w, then (a) tan 0 (b) ө

A: (a)v×w =i-j+k|v×w| =12+(-1)2+12=3|v×w| =3|v×w| =|v| |w| sinθ →(1)now,v.w =|v| |w| cosθ →(2)(1)(2)⇒…

Q: Compute the given integral. dr 16x2 + 1 +C

A: Here is the solution:

Q: X+ 6 2) lim х-6 (х-6)2

A: limx→6 x+6(x-6)2=6+6(6-6)2=120

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

A: This question can be solved using the concept of rate of change of physical quantities.

Q: Find:  ∫cosh^4 (x) sinh^5 (x) dx.

A:

Q: find the equation of the tangent and thhe to the Pollo wing cunve uhen x = 1 (2x2- Ja)2 normal .

A:

Q: Select all that apply: □ (5. 똥) □ (5. 플) O (5. -*) (-5, ) □ (-5. 똥) O (-5, -)

A: Polar

Q: Using Integration By Parts, x Arcsec 3x dx = u v- |v du

A:

Q: f "(x) 2)-1/2 x+2( -3 + 2)-1/2 + 4) -3( 2x+ 2

A: Solving

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Q: tan (x) cos (x) 1 tan (x) +tan°(x) + C tan'(x)7tan?(x) +9]+ C 36 O 1 1 tan (x)-tan'(x) + C O…

A:

Q: 1 A function f is given by f(x) = This function tak (x+ 4)2 f(x + h)-f(x) Find f(2), f(0), f(a), f(x…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Let θ denote the angle between thw ladder and the ground