dy Find Y dx (x- 2) - (2x+1)4 if y= | Use logarithmic differentiation. x=0 e2x. Vx+8

Q: Evaluate the following integrals. 1.) Sdv csc 3v 2.) S cot 9x dx

A: ∫5csc(3v)dvSubstitute u=3v→dudv=3→dv=13du=∫53csc(u)du=53∫sin(u)duWe know that…

Q: n² 2n-1 (-5)" n=]

A: Note :- These are multiple questions and according to our company guideline we can do maximum 1…

Q: Solve the following differential equation using Laplace transform 1. dx2 d²y + 25y = 10 (cos(5t) – 2…

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Q: 10) Find the linear approximation to g(y) = Cos(y+1) at y = 0. Use the linear approximation to…

A: Here, the given function is: g(y)=cos(y+1) To find the linear approximation of g(y) at y=y0=0 using…

Q: Solve the following problems. Write the correct unit and box your final answer. Topic: Applications…

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Q: Solve the equation (D² – 3D + 2) y = 2e¬* + 8 O y = cje2x + C2xe¯* + 4 + ze* O y = cje2x + cze² + 4…

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Q: Suppose f(x, y) = (2æ)" + 3y". Find f# (1, 1), fy(1, 1), and fyy (x, y)

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Q: 4. J 5 5. S 12 7 in 3x dx 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S

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Q: 10) (-1

A: lets we take example 9 and 10   9 (-2) -3/2 here in 3/2 so we have to also make 2 in whole term…

Q: le +e-x dx 10.

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Q: Use the Divergence Theorem to evaluate F N dS and find the outward flux of F through the surface of…

A: See is solution

Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

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Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: х3-4х-10 х2-х-6 (2x + 21n|x – 31 – 4 In |x + 2|) + C (2x + 2 In|x – 3| + 4 In |x + 21) + C Option 1…

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Q: Write an equation for the polynomial graphed below 5+ 4 2+ 1+ -5 -4/-3 -2 -1 -1 1 2/34 5 -2 + -3 -5+…

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Q: Consider the following initial-value problem. 4 f'(x) f(9) = 31 %3D Integrate the function f'(x).…

A: We have to find the function.

Q: The area between the curves f(x)=x and g(x)= x^2 on interval [0,2] O 2

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Q: 1 Evaluate dx. - 9x In(7e® + 1) 9x 1 -dx = In(|7+ e– 9æ|) + C 7+e-9x 7. 9

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Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

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Q: x + 2 x + 1

A: ∫x2+2x+1dxSubstitute u=x+1→dudx=1→dxu=dxx2=(u-1)2 =∫(u-1)2+2udu=∫u+3u-2du

Q: 11. Given the functions: g(x) = tn(4 – x) and h(x) = 4 – x² find and simplify the following: (a) h(x…

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Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

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Q: Find S 2t²e*dt

A: Given query is to find the value of the integral.

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: Let g(x) = | VI+7i dt. Use the Fundamental Theorem of Calculus to find g' (x). g' (x) =|

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Q: - The demand for your item is given by the following function 2 - 8z (z-8)(z² + 3) Find what number…

A: The given demand function Dx=-x2-8xx-8x2+3+100, so, x≥0. To find the number of products to be sold…

Q: Solve for x: log(x) + log(x + 3) = 2

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Q: Experimental data on the nitrogen content of soil samples taken from a field used for vegetation was…

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Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: 4. S cot?x csc x dx

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost other…

Q: Show that when a hole of radius a is bored through the center of the sphere of radius b, the volume…

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Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

Q: Evaluate the following integral. Answer in 3 significant figure, exponential form, no units, no…

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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: Let f be the R 2 − R function defined by f (x, y) = ln xy and let r be the R − R 2 function defined…

A: Given

Q: Using the method of LaPlace Transform, solve the following IVPs a.) y" + 8y' + 25y = 13e-2t…

A: As per bartleby guidelines we only give first question answers because questions are lengthy.

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

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Q: 10. In writing a function in the denominator and its derivative is in the numerator, which of the…

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Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+ sec? У(0) %— — 5. - dx 2y

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Q: VIUEU EXBipie To llustrate the Mean Value Theorem with a specific function, let's consider f(x) = x3…

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Q: tan de sece + 4 cose COs

A: The integration of the integral is  tanx/(secx+4cosx).

Q: 9. dr (2-r)Vr2-4x +3

A: ∫6(2-x)(x2-4x+3)dxApply linearity=-6∫1(x-2)(x2-4x+3)dxSubstitute…

Q: Find f(t) ( Inverse Laplace Transform )of the following functions пп s+1 1. F(s) 2.F(s) (s +2)´+n²n²…

A: As per Bartleby guidelines we are supposed to answer only first question. Please post other question…

Q: 3. Accumulate P2,500 at 5-% simple interest from November 6, 1988 to April 11, 1989. 12

A: Given :Principal = P2500Rate =535=285%Time : Nov 6, 1988 to April 11, 1989

Q: EVALUATE THE FOLLOWING cot x dx 4 sınx + csC X 1.

A: A detailed solution is given below

Q: If f(x) = 5x² In(6x), then f'(x) = f''(x) = f'''(x) f(4) (x) = f (5) (x)

A: We have to find derivative of give function.

Q: Find the flux of F across S, F N dS where N is the upward unit normal vector to S. F(x, y, z) = 10i…

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Q: Exercise 195 Further problems on Leibniz's theorem 3. Determine the 4th derivative of: y = 2x'e*…

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Q: Water is leaking out of an inverted conical tank at a rate of 7900 cubic centimeters per min at the…

A: We have to find the water is being pumped

Q: False 1. If v, w, x E R" are vectors with v · w = 0 and w· x = 0, then v•x = 0 too. False 2. If v, w…

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