Find the derivative. (Hint: take the natural log of both sides.) y = x3x

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A: Given that: g(x)=(3-x2)(x3-x+1)

Q: 1. lim f(x) = -1 and f(1)DNE %3D

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Q: By?dx +[2yłn () + 3siny dy 0 ;when x = 1, y = 0 ²+3x x+3

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Q: Combination 1. A panel of judges is to consist of four women and three men. A list of potential judg...

A: This question can be solved using the concept of selecting r objects from n given objects when the o...

Q: E Sove the differential equations 1. (6x-3y+2) dx = (2x-y-1)dy when X=2, y=7

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: B. lim 3* 1. Construct the table of values let x be -3, -1, 0, 1, 3, 5, 7, and 9. 2. Graph the funct...

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Q: Activity 6: You are testing an electrical device which can be modelled by the following equations: I...

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Q: Activity: Investigate limlx| through a table of values. Approaching 0 from the left and from the rig...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y' = sin x(sin x + sin x cos x -y)

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Q: 4 y = (x +3) Lax-1)

A:   Since you have posted multiple question as per guidelines we can solve only one question at a time...

Q: 5. Evaluate the following and give at least 5 non – zero terms: п-1 n(n + 1) x + (2n – 7)(2n + 9) dx...

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Q: (3) Find an equation of the tangent line to the curve y = 2x² + 3 that is parallel to the line %3D 8...

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Q: 6. Given f(x)= { 3, if x < -2    x, if -2 ≤ x<8    x+3, if x≥8  estimate lim f(x) x→−2     a.-2    ...

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Q: the iner tind the area bound and the y-axir in the Firt quadrant.

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Q: y'(2y - x exY) = 2 +yexy

A: Given that:

Q: 2. BASEBALL A baseball player hits the ball at a 28 angle with an initial speed of 103 feet per seco...

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Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

Q: The prism is bisected by the xz-plane. If P = (5, 2, 4), what is the area of the rectangle formed by...

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Q: 2. Given: f(х) - х* +4x? - 2х+9 g(x)=x² +2 h(n+2) = 2h(n+ 1)– 3[h(n)] h(1) =1 and h(3)= 5 f(-5) с. h...

A: Given, fx=x3+4x2-2x+9 hn+2=2hn+1-3hn2 ; h1=1and h3=5 We have to find f-5 and h6.  

Q: b) f(x) = -log2(2x + 3) – 3

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Q: Use the method for solving Bernoulli equations to solve the following differential e + 7y = e*y¯? dx...

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Q: 1 SI. Evaluate dV, where E lies between the spheres x2 + y? + z? a2 + y? + z2 = 1 and æ? + y? + z² 1...

A: According to bartleby guidelines when student post more than one question then expert must have to a...

Q: x* In xdr

A: We are asked to evaluate to integral.

Q: Direction: Find the derivative of the function. 1² + 3z + 2 z² – 3z + 2 Select one: -6 (z² – 2) (z –...

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Q: Notices Answer four questions only. Degrees are distributed equally to all questions : 00 Evaluate ,...

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Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: Solution of given question is written in below steps.

Q: 1 x²e dx = 1 2. %3D 2T 10- I

A: First we use symmetry of even function then we let x2 /2=u then using laplace transform. 

Q: graph the following equation and explin why they are not graphs of a function x y2 =x2

A: We have to check weather the given Equation is function or not.

Q: For the piecewise-defined function f whose graph is shown, find the following. (If an answer does no...

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Q: S Vxi + 2x² + x dx

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Q: Find an exponential function of the form P(t) = Pon' that models the situation, and then find the eq...

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Q: x*+ 4x t3 x? -x - 2 [x+ラ] ー1メ<1 1-X lim g (x) メ-7 0 lim g(x) x -71

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y = sin x(sin x + sin x cos x- y)

A: According to question,Given differential equation,1 + cos x y' = sin x sin x + sin x cos x - y

Q: Subtract in the indicated base. 1002, 3224 10024 3224

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Q: Graph of f 11. The graph of the function f is shown in the figure above. Which of the following coul...

A: Given that: Graph of f(x)

Q: c) limx'e*

A: We apply L-hospital's Rule to find limit.

Q: Perform the indicated operation: (5+2i)-(3-6i)

A: Given (5+2i)-(3-6i)

Q: 1.11 The solutions of the differential equation dy a - x dx B+ yx + dx² give most of the important d...

A: Solution of  given question is written in below steps.

Q: Convert the Transfer Function into Differential Equation. (s – 1)'s C(s) (s2 + 1)2s2 R(s) Convert th...

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Q: p(x) where p(x) is a quadratic polynomial and q(x) is a linear function. What are the possibilities ...

A: Let's find. 

Q: 11) A function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point...

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Q: + 2y 90 sec dy d0 20

A: Follow the procedure given below. 

Q: <, y) = )-« lustrate with a sketch. y 4 3 3 2 2 2 1 -4 -3 -2 1 1 2 4 -4 -3 -2 4 -4 -3 -2 /1 -1 -2 -3...

A: Topic:- calculus

Q: Evaluate dV, where E lies between the spheres x2 + y? + z2 = 4 and x? + y? + z² E x² + y? + z? = 36 ...

A: x​=ρcosθsinϕ y=ρsinθsinϕ z=ρcosϕ ρ2 = x2+y2+z2 ​

Q: Below is a value of cosh x. Use the definitions for hyperbolic functions and the identity coshx- sin...

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Q: dy + ( 1+x)y = e * sin2x dx

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

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Q: Find the abscissa of the centroid of the region between the parabola y = 9-x^2 and the line y = 1-4x...

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Q: 5. Ydx - xdy + x(2 – y)dy = y? e dy

A:

Q: nverse Function: One-to-one   Running burns about 13 calories per minute. a) How long would you h...

A: Given that: Running burns about 13 calories per minute.