Find dy/dx, if y=(x^2+2)^4 (2x−3)^5 dy/dx = _______

Q: State the name of the property illustrated below. 4. /8 = /8 •4 Choose the correct answer below. Ass...

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Q: Evaluate the integral below along the given path. (Give your answer correct to 2 decimal places.) C:...

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Q: A bacterial population Y is known to have a rate of growth proportional to Y itself. If between noon...

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Q: Find the derivative of a function f(x)=(x^2+1)^3 (2x−1)^4 f ' (1) = ____

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Q: (1-))csc²( 1– y)dy

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute  ............

Q: Determine the Convergence Interval of the following series! (x – 3)" n² n=1

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Q: 7/4 26. * sec*e tan 0 de sec*0 tan*o de

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Q: Given points P(2, 4, 3) and Q(1, -5, 2) in the rectangular coordinate system. What is the resultant ...

A: Given points P2,4,3 and Q1,-5,2  in the rectangular coordinate system.We need to find the resultant ...

Q: y = In (sin x²)

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Q: Write out the first five terms of the sequence (-1)" n-1 determine whether the n2 n=1 sequence conve...

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Q: (4x^4+x^3(y)+y^4)dx+x^4dy=0, Solve for HOMOGENOUS DE

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Q: Evaluate f"(e) when e = 0 given f (e) = 2 sec 30

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Q: Question 1 A function F is an antiderivative of the function f on an interval I if for all x E1. A F...

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Q: For what Values Of X IS tne wing geommetric series convergent? 1++ 27 1) x>0 2) -1<x<1 3) -3<x<3 4) ...

A: Topic:- series   

Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth i...

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Q: Find the partial fraction decomposition of the function. Write answer in simplest form. x² +x+1 a) f...

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Q: 4. Use the graph to find the following characteristics of a polynomial? K/5 4) Use the given graph t...

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Q: Determine the gradient of the curve 3xy + y² = -2 at the point (1, -2)

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Q: Find the values of 'a' and 'b' that make the following piecewise function differentiable everywhere....

A: We have to find value of a and b for given Questions.

Q: Question Evaluate the following limit using L'Hospital's rule. 1 lim 4x cos 6x4 Provide an exact ans...

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Q: 2-28 Determine whether the series is absolutely convergent. conditionally convergent, or divergent. ...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  here the sequence...

Q: Kagura stayed at Figaro and ordered a cup of Frappuccino. When the coffee was served at around 8:15 ...

A: The given information can be described in the table below: Time Temperature °C 8:15 PM 75 8:3...

Q: Sequences: A sequence is of the form а1, а2, аз, а4, ... where the an are real numbers. Technically,...

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Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5 ...

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Q: Find the equation of family of lines whose sum of intercepts is equal to 5.  Show solution and grap...

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Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 s- 5 20 1 2. s+3 5s -3 6s-5 3...

A: Given : 1)  L-1{2s-1s+9+4s-5}2) L-1{20s+3+15s-3+7s6}   NOTE: Since you have asked multiple questions...

Q: 7/2 sec*(t/2) dt

A: Here we will solve the given definite integral,

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Ma...

A: Use component form for the vector and use the given value 

Q: Evaluate the integral. 25 In y 16

A: Given that: ∫1625lnyydy

Q: find S z (Inz)? dz

A: Given,            ∫zlnz2dz

Q: (2z+1 if z < 3 (10-z if z 2 3* 3. f(z) = a.7 (2z+1 if z<3 4. f(z) = 110 – zif z 2 3 a. 7 S2z +1 if z...

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Q: 2) Explain in your own words what is meant by lim f(x) = 5. x→2 Is it possible for this statement to...

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Q: For the function f(x) = 3* find f(x-2) Compute *t1®if f(x) = ax +b h

A: 1. The given function f(x)=3x2. f(x)=ax+b

Q: Find the general solution of y" - 3y' + 2y = 2e*

A: y"-3y'+2y=2exAuxillary equation is D2-3D+2=0m2-3m+2=0m2-2m-m+2=0m(m-2)-1(m-2)=0(m-1)(m-2)=0⇒ m=1,2co...

Q: Mr. Ed Panem (GCOE) is tasked to schedule the final examinations for SUBJECT A, SUBJECT B, SUBJECT C...

A: Given: Total subjects=8Subjects name=A, B, C, D, E, F,G, HStudents are not taking both=AH, BH, DE, D...

Q: 7. Evaluate the integral I | sin(9.r² + 4y²)dA by hand, using an appropriate change of variables, wh...

A: The given question can be solved as shown in step2

Q: Evaluate f 8e7x+e7= da

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Q: Find the distance between the point (3,-3,6) and the line X= 2+4t y=-4t z=-1+5t

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Q: Find the parametric equations for the tangent line to the curve x=t^2−1,y=t^4+1,z=t^4 at the point (...

A: Given: x=t2-1, y=t4+1, z=t4 Point 8, 82, 81, is for t=3 as you can see substituting it in the three ...

Q: Arc sin -+ Arccos =0 y %3D y

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Q: 9. y(x) = V + ti dt

A: Fundamental theorem of calculus 

Q: Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use s...

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Q: Arc sin -+ Arccos =0 y y

A: Given that sin-1xy+cos-1xy=0find dydx

Q: Prove: 0 =- 1 Proof 1: sin x tan xdx = [ cos x 1 u = cos x dv = sin xdx sec x du = sec x tan xdx v=-...

A: Solution is given below:

Q: Find the derivative of the vector function r(t)=ln⁡(7−t^2)i+sqrt(8+t)j−5e^(2t)k r′(t)=⟨  ,  ,  ⟩

A: The given vector function is r(t)=ln(7-t^2)i+8+tj-5e2tk We have to find the derivative of the vector...

Q: Find the unit tangent vector at the indicated point of the vector function r(t)=e^(18t) cos t i+e^(1...

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Q: Solve the differential equation 2xyy' = 1 + y". If y = 3 when x = 2, determine y when x = 1.

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Q: Find the 8th term of the arithmetic sequence -4, -9, –14, ... Answer:

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Q: he general antiderivative of a function is also called the. A integrand B arbitrary constant differe...

A: The general antiderivative of the function

Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a tab...

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