3lnx² -dx

Q: 1. Suppose that r(t) = (3 cos(3t) · t, 3 sin(3t), 5t). a. Determine the velocity, the acceleration a...

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Q: Evaluate the integral. 5x2 Va? – x2 dx

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Q: Find the tangential and normal components of the acceleration vector. r(t) = 5(3t − t3) i + 15t2 j ...

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Q: Solve equation by the quadratic formula. List solutions, separated by commas. 2w? – 3w + 14 = 6 W =

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Q: Let f(x) and g(x) be defined by f(x)= [x]and g(x)=0 ,XEZ |x² , otherwise Discuss the continuity and ...

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Q: g(x)= f (x)-(f(x))" +(f (x))* for all xeR. Prove that f (x) and g(x) increase or decrease together.

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Q: 4x +1 - 3 To evaluate lim X- 2 -, this has to be transformed. Which of the statements below is corre...

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Q: Calculate dy dx. Simplify your answer. HINT [See Examples 1 and 2.] y =  3x − 9 2x + 8

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Q: 1. What is the sign of the abscissa and ordinate of points in each of the quadrants of a two- dimens...

A: To find the signs of abscissa and ordinate and relate withe signs of trigonometric function in a coo...

Q: Write an equation (any form) for the quadratic graphed below: -5 -4 -3 -2 -1 2 3 4 -2 -3 =4

A: equation of the parabola y=a(x-h)²+k

Q: 1+ 2e* 3es + 4 Use the Quotient Rule to determine the derivative of the function w(s) = Answer w'(s)...

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Q: Find the derivative of f(x) and solve for x sinx a. f(x) X = 6. b. f(x) e* sinx X = 0 COSX c. f(x) X...

A: Given: (1) f(x) = sin x / x  at x = π/6  (2).  f(x) = ex sinx at  x= 0 (3).  f(x) =  cos x / ex   at...

Q: Ex// A rancher has 100 m of fencing available to build a rectangular corral. He wants to achieve the...

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Q: 3- x| Consider Iim f(x) - Im 3+x What is the piecewise defined function of fox? x-3 3+x x>3 Fx) = 3-...

A: Given that, limx→1f(x) = limx→13-x3+x We have to write the function as piecewise defined function.

Q: Find f(x + Ax) by substituting x + Ax in place of x in f(x) = 9x² - 5x. f(x + Ax) = 9( x+ Ax D² - 5(...

A: To find the f(x+∆x) 

Q: Which of the following integrals is equal to =2+In 2? .2 x – 4 r2 4 d.r x2 dr O Option 1 O Option 4 ...

A: According to the Bartleby guideline only the first question is suppose to be answered by the expert....

Q: From the graph, which of the statements will complete the second missing piece-wise define sub-funct...

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Q: Find dy/dx by implicit differentiation. (cos TX + sin ny)³ = 26 dy/dx =

A: Differentiate above equation with respect to x

Q: Evaluate the integral. a dx 2 a > 0 (a² + x²)3/2' V2 92

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Q: equation of the tangent line to the graph of the function at ++3\2 ; (5, 4) %3D a Help? Read It

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Q: Find the acceleration of a particle having position function r(t) 6 sin ti+ 9t j+ 2 cos t k

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Q: x+1 y' y4+1

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Q: Find a formula for the given linear function, h(x). The graph of h intersects the graph of y = x2 at...

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Q: 7. Given the points (-2,-6) and (-4, 2). | Find the length of the segment determined by the points. ...

A: Since you have posted multiple questions in this question i can do first question ( with all subpart...

Q: in a certain country people on a total of about 348 million fish cats and dogs as pets. the number f...

A: Let the number of fish owned:  x Let the number of cats owned:  y Let the number of dogs owned:  z

Q: Question 18 How do we transform lim (x-- x*) in evaluating it. This yields an answer of. (A by direc...

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Q: Classify the following partial differential equations. A heat transfer with the function of: a²F(x,t...

A: Consider the second order linear PDE in two variables. auxx+buxt+cutt+dux+eut+fu=g  The discriminant...

Q: t f ex) =J3x find the difference Quatient of f-

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Q: Use the quotient rule to find the derivative of the given function. Then find the derivative by firs...

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Q: 11. Please explain how to get the domain, y-intercepts, zeros of the function, the x-intercepts, ave...

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Q: The following improper integrals converge except for one. Which one is it? dx O Option 1 O Option 2 ...

A: To find which one of the following improper integral does not converge. Option 1 ∫1∞ dxx2xOption 2 ∫...

Q: Which of the following definite integrals is equal to 0? * 2 (x³ + 1) dx (2.x° + x) dx -2 Option 4 O...

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Q: 2r-1 ifr2

A: From the given piece-wise function, when x approaches -1 from the right then the function shows the ...

Q: 8. Which of the following equations do NOT represent functions of x? Explain. •a {(-2,5), (1,3),(3,7...

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Q: 7. w = xe + y in z, Find dw

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Q: x2 - 4x - 12 x +2 Find f'(x), f"(x), and f (x) for the function f(x) =

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Q: how would I put all real numbers as an answer for H

A:   Domain is the input that a function can take. So  If you put any value of x in h(x) then you will ...

Q: A parabolic trough is a solar energy collector. It consists of a long mirror with a cross section in...

A: Let the quadratic function of the form y=a(x-k)2+b If the vertex of the parabola is at origin, then ...

Q: At what points c does the conclusion of the Mean Value Theorem hold for f(x) = x° on the interval [-...

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Q: 11. Use the limit definition to find the derivative of f(x) = x² -2 x. 12. Find an equation of the t...

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Q: Find the derivative of the following: 2x-5 y = 3x–1 O y' = 13 (3z-1) 13 (3z–1) 13 (3x+1) 13 O y' = (...

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Q: Now find the value of f(x + Ax) – f(x). f(x + Ax) – f(x) (9x2 + 18xAx + 9Ax2 – 5x – 54 - 9x2 + 18xAx...

A: We have to calculate the given expression

Q: Determine the position vector, r(1), at time 1 for a particle moving in 3-space and having accelerat...

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Q: sin x dy Solve : dx = COS x + cos X x

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Q: The equation of the Plane in the form of Ax+By+Cz+D=0 that passes through points (3,1,-2), (-1,2,4) ...

A: Topic :- 3-D  Geometry

Q: Find dy :

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Q: Let x = cos t, y = sin°t, 0<t< 2m. Find the length of the curve. Your answer

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Q: Which of the following shaded regions has an area equal to In 2? * 4 y = 1/r y = 1/r) 1 3/2 2 O opti...

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Q: Differentiate the function G(x) 6x-7 + 5x-9. Answer G'(x)

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Q: .One leg of a right triangle increases from 5 to 5.2 while the other leg decreases from 12 to 11.5. ...

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