Three edges of a right triangular prism are defined by the vectors à= [1, 3, 2], b=[2, 2, 4), and = [12, 0, -6]. %3D

Q: 2. y = log, 3x(x – 4) 3. y = x + 3 In x 4. y = x2 In x

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Q: g(b) Use the Substitution Formula, f(g(x)) •g'(x) dx = f(u) du where g(x) = u, to evaluate the follo...

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Q: 4. Evaluate each of the following. (1) E6+3. 2 &x (Recall that k = k2+k. You should have H, in your ...

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Q: Solve: x'y" - 2xy' + 2y =0 2_2)

A: Please refer to the image below 

Q: dy Use implicit differentiation to find dx 7xy + y = 9x+y

A: Given 7xy+y2=9x+y To find dydx:

Q: By direct differentiation, find f(x] where f(x)= lalact!)

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Q: QUESTION 3 Differentiate the following functions a) x7+2x5−3 x4+5 x3+10x−3 b) e(x+2)

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Q: Find the general solution. dy - 2y +4x3 dx

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Q: derivative of y with respect to x. y= In (6 In x) dy dx %3D

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Q: Let f(x) = (r' - 5z)" and g(z) = 20z + 10. Find g(f(x)). O 20(- 52)+ 10 o (20z + 10) ( - 5x)*) (x) O...

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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 

Q: Find the critical points of the following. 1. R(t)=1+80t3+5t4−2t5

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Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...

A: topic - functions and derivatives

Q: For f(x, y) = 2x3 + x²y2 - 5y3 + 10,

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Q: A company produces a special new type of TV. The company has fixed costs of $494,000, and it costs $...

A: NOTE: Refresh your page if you can't see any equations. . here fixed cost is $494000 and the variabl...

Q: Test the series below for convergence using the Ratio Test. n+5 Σ 4n +4 n=1' The limit of the ratio ...

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Q: Evaluate the following expression. arctan(-/3) Report your answer as a simplified fraction. Provide ...

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Q: x³ +2x .3 dx x2+1

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Q: On the grid below: a) Graph & label each and all transformations using different colour pens of g(x)...

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

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Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)  

Q: Solve: x'y" + 3xy' + y =0 2_2)

A: Please refer to the image below

Q: The path of a total solar eclipse is modeled by f(t) = 0.002311 - 0 506t + 40 266, where f(t) is the...

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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: a. Calculate the value of the slope of Y = - 2 X4 + x -3- 2X -2 + 5 at X = -2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: 8. find c in the int erval[-2,1] for f(x)=x' +x+3 use f'(c) = (b)-f(a) b-a 8.

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Q: 8x Use the alternative formula for the derivative to find the derivative of f(x) = x-9 ...

A: We have to find derivative by using alternative formula.

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: Test the series below for convergence using the Root Test. 3n 10n + 4 n=1

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Write out the form of the partial fraction decomposition of the function: (x^2)/x^2+x+6

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Q: Vx+4 -3 3. Evaluatelim x-5 Show your complete x-5 solution.

A: topic - limits

Q: The temperatures T (in °F) at which water boils at selected pressures p (in pounds per square inch) ...

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Q: Find le mistakes 7. The velocity of a particle moving along the x-axis is given by v(t) = 3e' – 4t. ...

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)...

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Q: x3+2` dx x2 x3

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Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had reache...

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Q: 2. Y = (5x³ + 2)6 ;y"

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Let f (2) = 2 22 +6 x + 5 . We will use the definition of derivative to find the deivative of f (æ)

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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: dy Find dx 2x sin (x + 9y) %D dy %3D dx

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Q: Write out the first four terms of the Maclaurin series of f if f(0) = 2, f'(0) = 4, f"(0) = 4, f"(0)...

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Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

A: NOTE: Refresh your page if you can't see any equations. . x=number of rooms y=price per room from th...

Q: Use the Theorem of Sequence Defined by a Function to determine the limit of the sequence or state th...

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Q: Find the the solution to the following system of equations using the Gauss-Jordan method: x - 2z = 0...

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is 

Q: The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name th...

A: The parametric equations are given as , x=2cos8t , y=2sin8t Name the type of curve that the pair of ...

Q: f(x) = -x + 1lx? – 28 %3D

A: We have the function                                   f(x)=-x4+11x2-28 then  Solution (a): Use the ...

Q: Sketch the graph of the following functions a) X/x+2 b) 1/(x−3)2

A: We can find the graphs as below

Q: (2xy-y^)dx=(x²+xy²)dy=0

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Q: 27.lf f(x) is any polynomial of degree 10 , then the 9th derivative of f(x) is zero. A. False O B. T...

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