9. Determine the value(s) of k so that the function f (x) = 5x“ + 8x - k has : a) 1 zero b) 2 zeros c) no zeros

Q: Obtain the derivatives (as specified) of the following functions: EDIFICE 191 a) cos(xy)=2y, find y'…

A: To find the derivative of given function.

Q: If f(x, y) = 7xe5y + + 7y lnx, then is given by: 35e5y + 5/x 49e5y + 7/x 25e5y + 7/x 5లోbw + 7/a

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Q: y = 4 + cze3x

A: We can eliminate the arbitrary constants in the following steps.

Q: The value of investments in the stock market change daily.  Suppose you buy a stock for $4,437.  It…

A: percentage

Q: k2020k Consider the series > ak = k!. k-1 k=1 a) What is ak+1? ak-1 aktl? b) What is ak ak-1/a ak+1…

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Q: y(x) =x' (2x – r²)

A: solution

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Q: Find the general solution of the differential equation y" + (wo)°y = cos(wt), w² + (wo)". NOTE: Use…

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Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

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Q: S(-uP +2u7 + uP)du No appropriate Match Question 6 o Sl-P-2u - )du Match the integral expression on…

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Q: 11 а а? A = |1 b b² c2 %3 (b — а)(с — а)(с - b) |1

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Q: Water is running out of a conical funnel at the rate of 1 in3/sec. If the radius of the base of the…

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Q: What is 56÷4

A: 56 divided by 4=14

Q: (b) Find the dimensions of a box with a square base with surface area 56 and the maximal volume.…

A: Given  problem:- Find the dimensions of a box with a square base with surface area 56 and the…

Q: 1. (x*+6y*)dx – 4xydy=0

A: The given DIFFERENTIAL EQUATIONS is x2+6y2dx-4xydy=0 ...................... (1) This is homogeneous…

Q: Evaluate: Jx?cos(2x)dx A None of the above 2x2sin(2x) – 2xcos(2x) + sin(2x) B + C 2x²sin(2x) +…

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Q: Find the equation of the tangent line to the curve y = 6 sec a – 12 cos a at the point (, 6).…

A: To find the equation of tangent for the given function.

Q: If, when the temperature of the air is 290 Kelvin, a certain substance cools from 370 Kelvin to 330…

A: Given problem:- If, when the temperature of the air is 290 Kelvin, a certain substance cools from…

Q: dx The integral of the given function f is xVx2-9 a. Arcsin + C 3 b. - Arctan + C 3 c. Arcsec+ C 3.…

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Q: Determine the equation of the line that is tangent to y = elan"(2x) at x = 8

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Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

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Q: Consider the helical segment of the following figure defined by the parametric equations x =…

A: We have to find value of line integral.

Q: 10. y = cos In 7x6

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Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9999…

A: Let's find.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: Given problem:- Find sets of parametric equations and symmetric equations of the line that passes…

Q: en magnitude and the same direction as u. tion -8, 6, 4)

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Q: 5. For the Parametric curve x = a(t – sint), y = a(1 – cost) where 'a' is a constant. Find y d?y at…

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Q: Let C be the triangle with vertices at (0,0), (1,0), and (1,1) oriented counterclockwise. The vector…

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Q: Give what is asked. Find dy/dx. Show your solution.

A: Simplify the equation and differentiate it.

Q: V9-4x2 The integral of the given function dx is x2 -19-4x2 а. 2x ArcsinA + C -V9-4x b. 2x - 2Arcsin…

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Q: y(x) =x' (2x – r²)

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Q: 2. Differentiate a sine and cosine function that involves product and chain rule. Find the equation…

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Q: Find the implicit differentiation by using Total Derivatives a function, x³ cos(2y) – 3x4 + 2e³y

A: Given problem:- Find the implicit differentiation by using Total Derivatives a function,   x3…

Q: Use the alternative form of the dot product to find u · v. ||u|| = 35, ||v|| = 45, and the angle…

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Q: II Evaluate the following by simple substitution: (x+5x²+4xY X-1 2. S sin24xcos4xdx

A: 1.∫x3+5x2+4xx-1dx Let x-1=t ⇒dtdx=1⇒dx=dt So, x=t+1 Now x3+5x2+4xx-1=(t+1)3+5(t+1)2+4(t+1)t…

Q: k- 32k 6k+4 Consider the series ak k-1 a) What is ak+1? ak-1= ak+1? b) What is ak ak-1/a ak+1 c)…

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Q: Find the area enclosed by the curves y=sin(x), y=cos⁡(x), and the two vertical lines x=0 and x=π/2

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Q: Find the vector v with the given magnitude and the same direction as Magnitude Direction u = (0, 5,…

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Q: 11.What value of x is the function f(x) = Vx2 - 3 continuous? Α. x =0 B. x = 1 C. x = -3 D. х 3D -2

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Q: show

A: We will find the value of c.

Q: Find the angle 0 between the vectors in radians and in degrees. i + sin 3. in)j, v = cos()i + sin()…

A: Given problem:-

Q: 1. f(x)= 5x+3 2. f(x)=-4x+2

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Q: 8olve the tollowing paots By Pong division method @(2x+10x+12)÷ (x+3) D(4x²-7x²-11x+5) = (4x+) b. O…

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Q: 1. y = 8x5 - 2021, 5th derivative 2. y = x5 - 3x4 + 6x³ - 9x² + 12x - 15, 4th derivative 3. y = 2x2…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: y(x) =x' (2x – r²)

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Q: Let F(x) = f(x) + g(x)e\ + h(x)e²× + C be the antiderivative of G(x) = (x+ e*)“. Determine the value…

A: Given problem:- Let F(x) = f(x) + g(x)ex + h(x)e2x + C be the antiderivative of G(x) = (x + ex )2…

Q: (a) Find the dimensions of a box with a square base with volume 27 and the minimal surface area.…

A: This is an optimisation problem, we use derivatives to find critical points and use second…

Q: Match the integral expression on the left to its suitable transformation on the right, after using…

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Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k %3D (a) Find the projection ofu onto v. (b)…

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Q: If x-0.78 and y 0.83, then value of Cin the antiderivative of F(X)= xsin-(x) is V1- x2

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