Graph f (x) = (1/2)* and g (x) =(1/2) ~*+3. Plot three points and also the asymptote.

Q: Given f(x, y) = ln /æ²y³. What is the value of fy (1, 2)? If the answer is a fraction, write your an...

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Q: Given the power series, (x +7)" determine if the convergence of the series at x = -9 is conditional ...

A: Here      an = (x+7)n2n n2-13⊙ Then putting x= -9 in an, we get:     an = (-9+7)n2n n2-13          =...

Q: Which of the following is the general solution to the differential equation 4xy -x2-y" dx for x 0?

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Q: Do the functions y = cos5t and y, = sin5t constitute a fundamental set of solutions of the different...

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Q: Given f(x) = 2/x + 5 and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)).

A: Let's find. 

Q: 1. Find the value(s) of x that satisfy x? – 3.5x + 1.8 = 0.

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Q: (3 – x if x < 2 if x 22 - 4. f(x) = { is discontinuous on the interval (- 0, 2] %3D -3

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Q: Suppose that y is inversely proportional to the square of x, and that y=64 when x=5. What is y when ...

A: Since  y is inversely proportional to the square of xy ∝1x2y =k 1x2where k is constant

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: This is problem of sequence calculation. Based on the general formula and test available we will ans...

Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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Q: Evaluate the integral sinh? (2x)cosh (2x) cx .

A: Let's find. 

Q: Q1) find dy/dx 1) F(x) = sin’2x tan x² x – 3 ) 2) F(x) = sin( x +4

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Q: Question 9 12 Let Fx) be an antiderivative of fx), with F(12) = 12 and f (x) dx = 9. what is F(6) = ...

A: Given: fx=F'x  And F12=12 ; ∫612fxdx=9   From the fundamental theorem of calculus; If dFxdx=fx then,...

Q: Find the area of the triangle with vertices P(1,5, –6), Q(0, 0,0) and R(2,4, 1). NOTE: Enter the exa...

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Q: Rewrite the following integral using substitution: 6"s in 3xdx

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Q: A $25, 000 vehicle depreciates $1500 a year as it ages. Repair costs are $1500 per year. (a) Write f...

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Q: (r + 3}* , ly-1} _ 1 16 4 1.

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Q: I. Identify the coordinates of the end of the vertices of the major and minor axis and foci of the f...

A: Let us consider the standard form of the ellipse, (x-h)²/a² + (y-k)²/b²= 1 Then (h,k) is the center ...

Q: Book Design A book designer has decided that the pages of a book should have 1 in. margins at the to...

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Q: (플, ) (-1) Which point is the inflection point of the function f(x)? A)(-n,0) B) (0,0) C) (T, 0) DI-...

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Q: Let f(r) = a and for each real number n > 1, define the function In(x) = 1 – (i) Find the area A, bo...

A: Two function are givenfx=x2gnx=1-1-xn     where n≥1.

Q: Let f be a function defined by z = f(x, y) = 3xy? – 4y. Find the actual change in z when x changes f...

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Q: Q1) find I+ Cos X | 1) \im メー30 Sin x

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Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the fu...

A: Average value of the function(over an interval):g(x) =1b-a ∫ab g(x) dxg(x)=f'(x)g(x)=1b-a ∫ab f'(x) ...

Q: 4 cV16-x² 3. Evaluate the integral L-rz(4 –- x² – y²)dy dx by first converting it to | /16-x² polar ...

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Q: (2z + 3, z 3 is continuous at z- 3. Justify the conclusion. (4) f(3)= (i) lim f(z)= 63 (ii) lim f(z...

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Q: V. Discuss the continuity of the following functions. If discontinuous, identify the discontinuity. ...

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Q: 3. Find the relative maximum and minimum values and saddle point(s) of the function, S(x, y) = 2a + ...

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Q: Which of the following is the general solution to the differential equation (x³ + xy)dy - (y² – x²y ...

A: First we will make it exact then solve it

Q: If dy/dx= 5y+2 and y(0)= 3. What is the value of x when y=2?

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Q: II. Solve the following problems. Find the equation of an ellipse with center at (-2,2), a vertex at...

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Q: Given f(x) = 2/ (x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)

A: Given f(x) = 2/ (x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x))

Q: T(t) = r'(t) N= T'(4) %3D Find Ť (t) t Ñ Ct) for ct)=tî t+4Eŷ. Evaulate tLt) $ Ñ Ct) for t= 3,

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Q: Evaluate the Following Integrals 4 sec" (2) at tana (24)

A: Given problem :-

Q: Find the arc length of the ellipse x = 11 cos t, y = sin t, (0<t< 2 T) */2 V1+sin² t dt 7/2 V1+120 s...

A: Given problem:-

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

A: This question is based on indefinite integral using partial fraction.

Q: What is the general solution to the differential equation (e*y² cos(y) + x)dy + (e*y² sin(y) – y)dx ...

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Q: Given f(x, y) = x³ – 2xy + 3y². Which of the following is true? fa = -æ + 6y + 3æy²; fy = 3x² – 2y +...

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Q: A particle travels along a horizontal line according to the function s(t) = -3t° + t + 3t – 2 where ...

A: By differentiating the s(t) we get the velocity function

Q: Öptimal Chapter-Flight Fare If exactly 218 people sign up for a charter flight, Leisure World Travel...

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Q: e the following differential equations of -y' = 2y – x; 2-x'y'y'+ dy 2xyy' - y' + Jy* [4- dx +x*; dy...

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Q: List the values of x at which f has a local minimum. Select the correct choice below and fill in any...

A: Lowest points of all ,after that function start increasing is called local minima.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: This question is related to sequence and series, we will solve it using given information. 

Q: Determine whether the series is convergent orrdivergent. the exact test thhat you Use. 土2

A: ∑n=1∞ -1n1+2nn  

Q: Determine the components, magnitude and direction of the following vectors: 1.) vector with initial ...

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Q: Evaluate the following: 1. S"(1– x)e¬*dx

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. xe 401x dx ...

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Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest form. Gra...

A: To solve the given integral problem

Q: how do we identify the minimum and maximum value of the graph of a function at a given intetval?

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