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Q: 3. 2t t dt ST-t

A: To integrate the given vector function. ∫te2t, t1-t,11-t2dt...(1)

Q: Evaluate the following integral. 1/4 | tan?x dx 1/4 tan x dx = (Type an exact answer in terms of T.)

A: Explained below 

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A: Vector, a quantity that has both direction and magnitude.

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A: NOTE: Refresh your page if you can't see any equations. . to find the equation of velocity take der...

Q: 2. Graph the following functions for one period. And show (or specify) the intercepts and asymptotes...

A: Curve sketching and x-intercept and Asymptote.

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Q: 25. Evaluate the following definite integrals. c) LIVII – x dx

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Q: the cross section of a trough is a parabolic segment 8 ft wide and 4 ft deep. if the trough is fille...

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Q: Create a question covering the following topics; 1. Inequality( quadratic) 2. Equation ( cubic usi...

A: Inequality is a mathematical expression that compares the algebraic terms by using less than or grea...

Q: (y – sin? x) dx + sin x dy = 0 2

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: First we draw a graph then find volume.  Interesting point are 0 and 1 then using limit 0 to 1 . 

Q: Let u = (6, 3), v = (2, -9). Find 4u - 6 v.

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Q: Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always three...

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Q: A discrete random variable X has the following probability distribution: 3 4. 1 2 P(X) y 9 1. Find y...

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Q: Use the Chain Rule to find dw for w = dt xe7,x = t2,y =1- t,z = 1+ 2t.

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: 3. The chemists say that between 0 C and 30 C, the volume V (in cubic cm) of 1 kg of water at temper...

A: The temperature at which water has minimum volume is T = 3.967°C

Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. fx.y) = - 2 + 7xy - 6...

A: We have to find the maxima and minima of the function.

Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Here, elementary work is: dw=(2.5y+10)dy

Q: nd the derivative of the function. (6 – x)5/4' x4/5 y = In

A: We will find the derivative. 

Q: A house sells for $81528 at the end of 2010 and for $161637 at the end of 2017.   If the market val...

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Q: (6) Find the volume of the solid obtained by revolving the region between y = y = e¬¤ for 0 <x < ÷ a...

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Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =...

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Q: In getting the derivative of a rational function, just get the derivative of

A: Topic:- derivatives   

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the x...

A: To determine the intervals on which the graph of y=fx is concave up or concave down, and to find the...

Q: Question 3 The exponential distribution is a probability distribution that describes the time needed...

A: Given: p(x)=Ce-x11x≥00x&lt;0To find the value of constant  C:

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Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 5% of the drug...

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Q: 28. Sketch the graph of 2x + 4y + 3z 12.

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Q: 19. Differentiate the following functions. e) f(z) = z? cos 2z + z sin (z?) f) y = In ( sec 2x + tan...

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Q: 14x - 39 * The partial fraction decomposition of can be written in the form of 12x2 - 13x - 14 f(i) ...

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Q: How to calculate this? What is the future value of $1966 that you have today, in 14 years, assuming...

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Q: 2. Let R = {(1, b) ERX R: there is an integer k such that a – b = 2kn}. Prove that R is an equivalen...

A: us the definition of reflexive , symmetric and transitive property of relation to prove it is equiva...

Q: In February, Apple stock rose from $120.69 to $164.85, while Tesla stock increased from $675.50 a sh...

A: Given:- In February, Apple stock rose from $120.69 to $164.85 Tesla stock increased from $675.50 to ...

Q: 4. Find the arc length of ř (t)= <ť, 9t,4E"/, m/N

A: We know that, The expression for the arc length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt...

Q: The form of the partial fraction decomposition of a rational function is given below. 16 – (x² + 10x...

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Q: 6. Given the space curve r(t) = (t, 2et, e2t), find the tangential and normal components of accelera...

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Q: Sketch the region enclosed by the given curves. y = 13 – x2, y = x² – 5 y y 5 -6 -4 - 2 4 6 -6 -4 -2...

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Q: Find the first and second derivatives of the function. g(t) = t°(6t + 5)* g'(t) g"(t) =

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Q: Find the derivative of the following function. у -6 h(y) = 4Vy - 7 The derivative of h(y)= y-6 is 4 ...

A: Find the derivative of h(y).  Differentiate h with respect to y. 

Q: 10 10 Evaluate 5x dx using the trapezoidal rule and Simpson's rule. Determine The value of 5x dx is ...

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Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3 ...

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Q: You have a wire of length 2 m, which you can bend either into a square or a circle. You also have th...

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Q: S Vx + 3(x + 1)dx

A: