Find S(-3e-3t + Vt)dt

Q: d (7 ln(x)) dx Find

A: Find

Q: 5 and 6

A: 5. ∫127*ln(3x)xdxSubstitute u=7ln(3x)→dudx=7x→dx=x7du=17∫12uduWe know that…

Q: What is the period and domain of the function y=tan(x)? A T and{xER|x m 2 (2k+ 1) , k is an integer…

A: The given function y=tanx

Q: -6(х— sin "x)(csCx «)(cs 3 CSC X |

A: Topic:- function and trigonometry

Q: Consider the following limt. lim - (x + 5) Find the Iimit L. (a) Find 8 > O such that |fx) - L| O…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find f) (0), for f(8) = 2 cos(36), using pattern recognition. (Don't take 22 %3D derivatives!) What…

A: Given: fθ=2cos3θ Formulas used: ddxcosx=-sinxddxsinx=cosxddxxn=nxn-1ddxCfx=Cddxfx…

Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…

A: Here, the velocity of the function is given as: v(t)=t2-t-182; 1≤t≤15

Q: 1. Find the area bounded by the curves y?=2ax, y²=4ax-a? 2. By integration, show that the area of a…

A: As you have asked multiple questions so I have answered first question as per the guidelines

Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x² + y (x, y) # (1, –1) x + y is…

A: Given f(x,y)=1                        (x,y)=(1,-1)x2+yx+y              (x,y)≠(1,-1)

Q: (hen? + h? eh* ) di

A: The integration of the integral is  (heh^2+h2eh^3).

Q: B. Determine dy/dx for the tollowing a. x + y2 =9 b. y-y+1 = x + 2 C. X³ - 8y³ =Y I.

A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

Q: Converting 49T radians to degrees will correspond to which value? (A -1746° -1674° -1764° -1476°

A: topic - radian to degree conversion

Q: y = e from x=0 to x=1

A:

Q: Question

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

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Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

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Q: fle 30 4) de 3e +1

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Q: 8 What is the range of y=4sin A [-2,6] B [-6, -2] © [-6, 2] D [2, 6]

A:

Q: Solve 12 cos (t) + 2 cos(t) - 2 = 0 for all solutions 0 < t < 2n t = Give your answers accurate to 2…

A: See the answer below

Q: Using the method of undetermined coefficients, what is the modif ied form for a particular solution…

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Q: sec =zydy

A: Given

Q: Find the following integral 4sinxdx O -4 cos x + C O 4 cos x + C

A:

Q: x2 (x+2)³ In Ix + 21 + 4x+6 4x+6 (x+2)= In |x + 2| – (x+2)= +C Option 1 Option 2 ihk+ 21- 4x+6 In lx…

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Q: Cost of Producing Guitars Carlota Music Company estimates that the marginal cost of manufacturing…

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Q: dy If y=u? and u = x3 + 4 determine dx

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Q: x2 — х +1 dxp х2 + 2х + 2 x2.

A: Topic:- application of integration

Q: 8) Find the slope of the curve y = Sin³0 and x = Cos³0 _when 0 =

A: Given y=sin^2(theta), x=cos^3(theta)

Q: dy Find dx Given: 3y2 – 5xy2 + 2x +2 = 0

A:

Q: (a) Find the equation of the tangent line at A. (b) Find the area of the shaded region enclosed by…

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Q: 3. 2x°- 2x) dx x²+10 2 t1o

A:

Q: You intend to conduct a goodness-of-fit test for a multinomial distribution with 3 categories. You…

A: answer is in next step. please give  a like!!!!

Q: how to find break even point of the profit function p(x)=-55-6x+0.2x2

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Q: lim (1+)* X→00

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Q: r(t) = (cos t)i + ( sin t)j + ( sin 6t)k, t, == (Type an exact answer, using radicals as needed..)…

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Q: y = sinx from x=0 to x=n

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Q: dy – e3x+2y . Find the general solution of dx

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Q: Find the equation for the plane through the points Po(-5, - 2,- 2), Qo(3,2,4), and Ro(4, - 1,- 2).…

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Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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Q: 25n Evaluating sec will yield to 6 V3 A 2 2/3 B 3/3 © - 2 V3 D 2.

A:

Q: Find the common elrea between Y=2CI+Cose) and carved V=Z(1-Sine) which is Losatel in the funrth…

A: Let's find common area between given two curves. Common area in fourth quadrant.

Q: +2D+2)y = e csc x

A: Solution: (D2 +2D +2)y = e-xcsc(x)

Q: 10) у - еx3 In x

A:

Q: 5. Find the quadrant where tan 405° lies, its reference angle, and also the exact value.

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Q: A box with no top that is twice as long as it is wide has a volume of 36 m3. If x is the width of…

A: A box with no top that is twice as long as it is wide has a volume of 36 m3.

Q: 6. Evaluate the following: (ey)dy dx 0. A. e-1 e-1 C. 2e +7 2. D. e?

A: Given: I=∫01∫0y3exydydx   As we know the basic integral formula; ∫eax+bdx=1aeax+b+C

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: Find all solutions to the equation: [cos(x) + 1][2cos(x)– /3]=0. Bx equals fraction numerator 3…

A: Here, the given equation is: [cos(x)+1][2cos(x)-3]=0⇒cos(x)+1=0 or 2cos(x)-3=0⇒cos(x)=-1 ot…

Q: F(s) = (s-2)(s-4)(s-8)

A:

Q: ind the maximum product of two positive numbers given that the sum of the umber and twice the second…

A: Please refer to the image below

Q: 1. Find the second derivative of the parametric equations x = a cos t and y = b sin t 2. Use second…

A: