Evaluate: lim ex O a, undefined or oc Ob.0 Oc 1 O d.-1

Q: dy of x3 +v³ = 4 of X + dx Find O x? y² ,2

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Q: 3x2 + 9x + 6 Given the function f(x) = identify the x2 +x - 2 following. a) y-intercept: (0,_) b) x-...

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Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2 ...

A: area under the curve, solve integral

Q: (a) -2f(x) dx 1 6. (b) f(x) +h(x)] dx (c) [2f(x)- 3h(x)] dx 7 (d) f(x) dx 69 (e) f(x) dx (f) f[h(x)-...

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Q: 1 4 0, 9. %3D

A: Topic:- sequence and series

Q: QUESTION 1 Find Zx if z = In-

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Q: a). Determine whether Rolle's Theorem applies to f(x) = , on [-2,2]. %3D b). If so, find the point(s...

A: Topic:- calculus

Q: Use your analytical skills to evaluate the limits. 2x2 + 3x – 9 lim x3. x2 +x - 6 - 2x2 + 3x 9 lim x...

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Q: Find the equation of the normal line to the curve y = x3+ at (1, 4). O a. y = 4 O b.y = -4 OC.x = -1...

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Q: 1 You are required to calculate the gradients of f(w,x) = 2+sin?(w,x1)+cos(W2x2) with respect to w, ...

A: f(w,x) =12+sin2(w1x1)+cos(w2x2)∂f∂w1 =-1(2+sin2(w1x1)+cos(w2x2))2ddw1(sin2(w1x1))∂f∂w1 =-2 x1sin(w1x...

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

A: Let's find. 

Q: Find the transition points. y = 10x - 90x4 (Use symbolic notation and fractions where needed. Give y...

A: Given equation is y=10x6−90x4

Q: Match each of the following expressions with an equivalent expression. (You can use each option once...

A: Basic identities of trigonometry are used.

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: a. 12.37 cm2/sec O b. 12.57 cm2/sec O c. 12.47 cm2/sec O d. 12.67 cm2/sec

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Q: Give an example of a vector-valued function 7 (t) such that its unit tangent vector T(t) is defined ...

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Q: QUESTION 6 | 16-ydy can be eliminated by applying lim t+ -0 6-ydy The infinity in the O True O False

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 00 Σ f(x) =...

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Q: Find the distance between the complex numbers in the complex plane. 5i, 6-4i

A: Distance formula in the complex number : d = (c-a)2+d-b2 where a+ib and c+id be given complex number...

Q: Differentiate the followin f(x) = (2x2 - 3x)* 4

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

Q: K(do/dt)+Ri=E. solve the linear equation Where K, R, E, i, is constant

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Q: Find the equation of the tangent line to the curve y = x(2 - x)² at (1, 1). O a.x - y = 0 O b.x - y ...

A: The curve y=x2-x2 at (1,1)

Q: Evaluate: A 4e“+C +C +C E) None

A: Given problem:-

Q: 1 dx x2 + 3 3. dx x6 + 3 4. cos² (x) dx x² + 3 5. A. The integral is convergent B. The integral is d...

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Q: Find the function y = y(x) (for æ > 0) which satisfies the separable differential equation %3D dy da...

A: Given : dydx=3+17xxy2   , y(1)=6

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 5+ 4...

A: From the given graph we can see that there are three points at which the given function is zero i.e ...

Q: Find y y=(t + 1}² - /E when t=1. Oa 1.75 Ob35 Oc45 Od.2.25

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Q: Set up (Do not Solvel) the volume of the sold whose base is bounded by the graphs of yx+1 and y x?. ...

A: Given y=x-1y=x2-1The cross section are perpendicular to the x -axis are equalatral triangles a=x-1-x...

Q: Find the distance between the complex numbers in the complex plane. 1+4i,-1+2i

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Q: Using differentials, if y= x determine the approximate change in y when x changes rfrom 8 to 8.01. a...

A: A detailed solution is given below

Q: x² – y + 1 f (x, y) x² – y? + 1 -

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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: Consider the function f (x, y) with level curves as shown below. At the point P are two vectors T an...

A: Solved below

Q: If 0 is a first quadrant angle where P(u, v) = (-1, -2), tan 2 5 + V5 5 - V5 5 - V5 5 + V5 5 - V5 5 ...

A: here tanθ/2 =+ 1-cosθ1+cosθ so here x= -1 and y= -2  so from right angle  uv = 5 so cosθ = -1/5 ta...

Q: Suppose an object in circular orbit stops in a 9. position where cos(0) : The terminal point is 13 l...

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Q: The equation a² + y? + 4z2 = 25 in R° describes

A: We have to describes the given equation in R^3

Q: Find the radius of convergence and the interval of convergence. 00 Σ k(k + 1) k=1

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Q: กำหนดให้ f(x, y) = xy cos.x x² +3y²

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Q: Find the absolute extrema of f(x, y) = x² – xy +y 4x + 4y within the domain a + y? < 16 Please show ...

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Q: 5- -5 5 -5- Determine the values of a, b, c, and d so the function (x – a) (x + 1) (x + b) - f (x) =...

A: Let's find. 

Q: 1. Determine the following information regarding each function step by step and then sketch f (x) = ...

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Q: 00 (x – 5)" For what value of x does the series converge? n n=0 (4,6)

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Q: 2x² + 3 dx J x(x – 1)2 x(х —

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Q: 8. Find the following given f(x) = 4x – 6, g(x) = 2 x. a) (f + g) (x) b) (f- g) (x) c) (fg)(x) d) (f...

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Q: 7. Find a and b such that f is differentiable everywhere. f(x) = {+b, S ax³, lx² + b, x 4

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Q: For f(x) = Vx ln x, find a). domain and f', b). the intervals on which f is increasing or decreasing...

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Q: Find the quotient. 8(cos(40degrees)+isin(40degrees))/16(cos

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Q: dy 5. Use logarithmic differentiation to find dx of y = x²Vx – 7,x>7.

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Q: Consider the function f(x, y) with level curves as shown below. At the point P are two vectors ū and...

A: Explained below 

Q: Σ (-1)", n = 0 40

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