QUESTION 1 What is y" if y = x2 when x = 2? О а. -3/8 O b. 1/4 О с. 3/8 O d.-1/4

Q: Determine the real number ? such that vectors a = 3i + 2j and b = 6i + ?j are orthogonal.

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Q: y' = 2aye (5)² 2 y²+y²e(#)¨+2»²e÷) 2 +2x?e(7)

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Q: The cylindrical equation z = r2 represents which of the following? O a paraboloid O a semisphere O a...

A: The cylindrical equation z=r2

Q: (use Loug division) | 2x'.3x² +Yx+5 +2 2X-3X +Y x +5

A: Given query is to perform long division.

Q: 6. Let a be a real number. Consider the series Σ an = cos(nT); 2n +1 an, where n=0 Is it possible to...

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Q: Evaluate the following integral. 18x2 dx 2 x* - 41x + 400

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Q: which expression would be easier to simplify if you used the comunative property to change the order...

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Q: C -- -- 1. 7)=3tan(2x-45")-2 f(x) Реriod: Vertical Shift: Horizontal Shift Start: End.

A: Starting point and ending point is always infinity in tan function

Q: The graph y = cosx, given the domain has x-intercepts at 4

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Q: (a) S(-) dx 2+1 (b) [ 3xV3 dx

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Q: 1. Determine the following information regarding each function step by step and then sketch its grap...

A: find the attributes of a graph

Q: Evaluate: A 3 2(,s–3) (c +C 15 4lnr None

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Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will ...

A: Given that Area =150 m2Solution:Area =xy xy=150y=150xperimeter=2x+yp=2x+150xfor maximum perimeter dp...

Q: Find the area of the surface obtained by rotating the curve y = 3x2 from point (4, 48) to the point ...

A: Let's find. 

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Find the slope of the curve at the given point. 8y' + 5x° = 3y + 10x at (1,1) The slope of the curve...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n= 4, c = 7 %3! P4(x) ...

A: Given:       fx=lnx, n=4, c=7   A taylor series is given by               fx=∑k=0nfkck!x-ck here n=4...

Q: Honey is pouring out of a funnel at a rate of 3cm3/s. The funnel is in the shape of an inverted cone...

A: Given query is to find the rate of change of height when honey is at the level of 5 cm.

Q: Q.3\ The Maclaurin series for cos(2x) for every x is:

A: In this question we have to find the Maclaurin series for cos(2x).

Q: QUESTION 1 9dz 9dz The infinity in the can be eliminated by lim J2 (1- 32)4 t+ o'2 (1-3z)4 True Fals...

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Q: At what point(s) does the curve y=; 3x – 4 have a derivative of -1? O 1) (2.0) 2) (-1,-7) 3) (-1,-7)...

A: Given query is to find the value of x where seri is -1.

Q: 9. Find dy/dx by implicit differentiation of y? = In(x), at (e36,6).

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Q: What is the center and radius of the sphere whose equation is (x + 1)2 + y2 + (z + 4)2 = 5? (-1, 0, ...

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

Q: -2 - 5 if r 4 7 4- 3. -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8 -2 -3 -4 -5 -7 2.

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Q: 25. What is the y' of y = tan(6x - 5)? a. y' 6csc2 (6x - 5) b. y' = tan(6) с. у' %3 6sec? (6х - 5) d...

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Q: Find the differential dx for the function: y=V4+5x at x 0 and dx 0.04. 0 5 O 0.08 O 0.05 O 0.8

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Q: x² – y + 1 f (x, y) x² – y? + 1 -

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Q: use rules of differentiation, find the derivative

A: Given y=4log3x2

Q: V and V= 250 volts, R = 50 ohms. Determine the change in I resulting from an R 1. If - increase in 1...

A: Given: V=250 volts and R= 50 ohms, dVdt=1,  dRdt=0.5

Q: Find the derivative of the function. -7 а) у — (2t – 3)2

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Q: g(x) = x - 4 and h(x) = x2 + 3

A: Let two functions g(x) and h(x) are given, then their composition (hog)(x) is given by, (hog)(x)= h[...

Q: A shoreline observation post is located on a cliff such that the observer is 290 feet above sea leve...

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Q: The where c Is a constant, is equal toC 7. If y = 6e5, then y' = 30e*. The derivative of a product w...

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Q: 1 x =e" cos v, y=e* sinv uaz == vuv เมื่อ แ =1 และ "= 3 Find และ

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Q: sin e cos e sin (0 - 1) Choose the best answer:

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: 2. The velocity of an object is v(t) = 40 – t² ,0 <t< 6,where v(t) is measured in meters per second ...

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Q: ass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a ...

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Q: x8cos3x %3D Vx-1

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Q: QUESTION 7 A curve has an equation of y = x - 6x² + 9x + 2. What is the slope of the curve at its po...

A: topic - slope of the curve

Q: 1. Find the domain of the function: f (x) = log2 Show a sign table. %3D Intervals: Test Value: Sign ...

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Q: (b) Suppose $2,100 is borrowed and the interest is compounded continuously. If A(E) is the amount du...

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Q: give

A: We have to choose the correct options according to the given information

Q: b) E = 25,000 101.5M %3D

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Q: The domain of the graph y = cotx is all real numbers -15xS1 -13xS1 all reals except kT

A: Given query is to find domain of cotx .

Q: The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum. O a. 44.8 m...

A: The hypotenuse of a right triangle is 14m. Note:    Multiple questions are given, we are answer with...

Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x ...

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer...

Q: sec x (Ъ) у -

A: Let's find. 

Q: evaluate the differential equation: -5y +4y =z-2+

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Q: solve ∫ 1/((x+2)^2(2-x)^2) using partial fractions

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Q: Find an equation of the tangent line to the graph 16x4 + y4 = 32 at the point (1,2). %3D 1) 5 1 -+x-...

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