lim,->a f (9 (x)) = f (lim,->a g (x)) O True if g is continuous O True if f is continuous

Q: Suppose that a company introduces a new computer game in a city using television advertisements. Sur...

A: Topic = Algebra

Q: lim (x² + 1) = L x→2

A: Topic:- calculus

Q: The points on the surface x2−2y2−3z2 = 33 at which the tangent plane is parallel to the 8x+4y+6z=5 p...

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Q: Suppose that the position of a particle is given by s(t)=3t^3+6t+9 (a) Find the velocity at time t....

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Q: Use a graphing utility to graph the equation. Move the cursor along the curve to approximate the unk...

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Q: A. Ellipse B. Parabola C. Hyperbola

A: Given that: f(x, y)=9x2+4y2

Q: Consider the following. y y = fix) 4 (a) By reading values from the given graph of f, use five recta...

A:

Q: Consider the following sequence: {a,} = {n – n² } 2 +0 %3D Use an+1 - an to show that the given sequ...

A: Given that: {an}={n-n2}1∞

Q: Southern Traditions sold the home decor division of their company 8 years ago and immediately invest...

A: Topic =Algebra

Q: A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank)....

A: Set up the definite integral.

Q: find the area of the region bounded by the graphs of. y=1-x^2 y=1-x dont forget to sketch.

A:

Q: sechudu - 2tan".c -tan (sinhu) - C

A: Use the exponential form of sechu and easily prove the integral.I have used many inverse trigonometr...

Q: Let f(x, y)= Jxy +x+xcos y. (a) Find fxy.

A: Given:  Let fx, y=xy+x+x cos y To Find:  To determine fxy.    

Q: Lin is looking at cyclic quadrilateral ABCD. he says, "I'm not convinced that opposite angles of cyc...

A: Topic:- geometry

Q: A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank)....

A:

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer i...

A:

Q: What is the instantaneous rate of change for α=arctan(2-r/r) at r=0

A:

Q: 19. What are all values of x for which [ P dt is equal to 0 ? (A) -2 only (B) 0 only (C) 2 only (D) ...

A: We have to find the value of x. 

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: (D3 – D2 + D – 1)y 4 sin x

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Q: arctan dx

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Q: find the volume of the solid obtained by roating the region bounded by the given curves about the y-...

A:

Q: Weather balloons are filled with hydrogen and released at various sites to measure and transmit data...

A: Given query is to find the the linear function and time taken to completel full the balloon.

Q: Differential Equation : Linear Differential Equation of Order c) #1 only (U can answer others thanks

A: Topic:- differential equations

Q: 4 - 3 + – Find the limit of f(x) = as x approaches o and as x approaches - ∞o. 9. 9 - X

A: Find the limit of the function .

Q: Evaluate using long division first to write f(x) as the sum of a polynomial and a proper rational fu...

A: Given query is to find the the integral of the expression.

Q: An+1 +00 to determine if the sequence { ne" }" is strictly increasing or strictly decreasing. An Use...

A: We will determine that given sequence is increasing or decreasing.Below find the solution in the ima...

Q: Solve the following inequalities by the verification method and indicate the solution set on the rea...

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Q: 91. Proof Prove that (cos 0)i + (sin 0)j is a unit vector for any value of 0.

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Q: Find the limit L. Then use the e-6 definition to prove that the limit is L. lim X--4 12 Submit Answe...

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Q: When x is less than or equal to 2, what equation is shown in the graph? a. f(x) = | x - 1 | b. f(x)...

A: Given question:- When x is less than or equal to 2, what equation is shown in the graph.

Q: y = 3x - 1 + Ce-3x Find the orthagonal trajectories to the given curve.

A:

Q: Calculate the derivative of the function. f(x) = (2x2 – 9)-1

A:

Q: 1) Does the series described by (-1)"; converge?

A:

Q: sec² 0 de tan² 0 – 1

A: Integrate the integral.

Q: Don’t skip any steps please Polonium-210 has a half-life of 140 days. It decays exponentially, where...

A: Half life is 140 days, initially amount 100mg

Q: [ u#(u – 1)"-1 đu (1+x!/n dx = n

A:

Q: y = sin(Ax + B)

A: We will find the Differential equation as following. 

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A:

Q: Find an equation for the paraboloid z = 2 – – (x² + y²) in cylindrical coordinates. (Type theta for ...

A: Given: - The equation is, z=2-(x2+y2) To find: -The equation for the paraboloid in the cylindrical c...

Q: The monthly sales of Sunny Electronics' new sound system are given by g(t) = 2,000t - 50t2 units per...

A: Given query is to find rate of change of sales , price and revenue.

Q: Find the derivative of the function. g(t) = r² - %3D g'(t)

A:

Q: Consider the series. 00 9n Σ 3/5 n=1 (n2 + 1) 9x Let f(x) = Find f' (x). 3/5 (x² + 1) (Express numbe...

A:

Q: (a) Determine all distinct values of vZA given that A = -1+ iv3.

A: Follow the procedure given below.

Q: y= 3x³etan ( – 4x)

A: Topic:-  derivatives 

Q: its xn-yn instead of xn+yn

A:

Q: For the graph of e^-cosx what would the coordinates be (x1,y1)., The point where y’(x)=y(x)?

A: QUESTION- For the graph of e^-cosx what would the coordinates be (x1,y1)., The point where y’(x)=y(x...

Q: 12) Find the exact length of the curve [4,16] on 3

A: We can find the exact length of the curve as below,  

Q: The solution of a certain differential equation is of the form y(t) = aet + bet, where a and b are c...

A:

Q: Find all solutions of the equation in interval [0,2pi). 6sin^2(x) = 6+3cos(x)

A: