The table below gives data from a linear function. Find a formula for the function. Year, t Value of computer, V 1 2 f(t) (in dollars) | 4000 | 3800 3600 V (t) :

Q: Find the linearization L(x) of the function at a. f(x) = –9x?, a = -9 L(x) =||

A: Given:- The function is, f(x)=-9x2 To find: - The linearization L(x) of the given function at a=-9

Q: Evaluate the improper integral. 9. 3x²e* dx (Express numbers in exact form. Use symbolic notation an...

A:     ∫-∞9 3x2ex=3·∫-∞9 x2exdx=3x2ex-∫ 2xexdx-∞9=3x2ex-2exx-ex-∞9=195e9

Q: ) Sketch the region enclosed by the given curves and find its area. y = -x² +4x, y=x² – 2x

A:

Q: + cosx r- 2xy)y' = yly + sinx] ;when x = 0, y = 1 %3D %3D

A:

Q: y = sin(Ax + B)

A: Given: y=sin(Ax+B)

Q: 1. Find the length of the curve r(t) = (sin 2t, cos 2t) from t 0 to t= 2n. CoS %3D

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: 4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e %3D

A: I am attaching image so that you understand each and every step.

Q: 2x2 +2x-4 lim X→1 X-1

A:

Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: Find the derivative of the function. y = a6 + cos6 x y'(x) =

A: Given

Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by f at a. f(x) = cos x, a == Po(x) =]...

A:

Q: Let f(x) = tan '(sin(2a)) f'(r)

A: Given :f(x)=tan-1(sin(2x))

Q: f cos 0 = where <0 < 2n and tan 3= where r < B < , set up the triangles that represent each trig %3D...

A:

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

A:

Q: A robot arm joint moves in an elliptical path (horizontal major axis 8.0 cm, minor axis dy 4.0 cm, c...

A:

Q: Calculate SN given by Simpson's Rule for the value of N = 6. dx x4 + 8 (Round your answer to five de...

A:

Q: (please show work) A baseball team plays in he stadium that holds 68000 spectators. With the ticket...

A:

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) - sinh(15x) dx = +C

A:

Q: If s(t)represents the position of a function, in metres, at time t, in second what does the expressi...

A: s(t) represents the position then  limh→0s(3+h)-s(3)h represents the velocity at time t=3 seconds Co...

Q: If f(x) tan (5x), find f (x). Use exact values. f'(x) =

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos²x – 1) dx = 0 2. xy' =2xex - ...

A:

Q: for a sum of $8000 to double in 12 years and 9 months, what must be the rate of interest compounded ...

A: The solution is given in the next step.

Q: Internet Audience At the end of a certain year, the four companies with the largest number of home I...

A:

Q: (a) f(x) = Vx cos æ² 2x (b) f(x) = x2 + 4

A: Given  problem :-       To find:- Differentiation of given functions

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

A: The given series is: ∑n=0∞ nxnn+10

Q: Express the repeating decimal as a fraction. 0.451141414141... 0.451141414141...

A:

Q: Suppose that in winter the daytime temperature in a certain office building is to be maintained at 7...

A:

Q: h3-4h 3. lim h-2 h3-2h2

A:

Q: 1 dx (use trigonometric substitution) x/1+x6

A:

Q: Write the equation of a sine function that has the given characteristics. The graph of y = Vx, shift...

A: The graph of y=√x shifted 4 units to the right

Q: Find the second derivative of y2+2xy=x+y

A: The given function,    y2+2xy=x+y

Q: |(n+1)!] n!

A:

Q: A. Ellipse B. Parabola C. Hyperbola

A: Given that: f(x, y)=9x2+4y2

Q: Consider the following. y = 2x5 + 5x* – 10 (a) Find the critical values of the function. (Enter your...

A: The given function is: y=2x5+5x4-10

Q: lim (3+ 2)

A:

Q: Akash displacement from whom is is measured in MI by the function it is equals to

A: Akash displacement from whom is is measured in MI by the function it is equals to   

Q: Jsechudu = 2tan" +C = tan (sinhu) +C

A:

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (- 5)...

A:

Q: A particle is moring along ASit reaches to the point 2,6), the y-cordinate S decrea Sing ata rate of...

A:

Q: The measure of the supplement of a 71° angle is (Simplify your answer. Type an integer or a decimal....

A: Supplementary angles sum =180° ⇒180° - 71°=109°  

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: • Why do we need the Chain Rule in implicit differentiation? Show with an example and describe how t...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Topic = Integration

Q: x' +2y² Show that does not exist. lim (x.y)-0,0) 2x

A: Along y = x:     limx, y→0, 0x2+2y22x=limx→0x2+2x22x=limx→03x22x=limx→03x2=0

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A:

Q: Consider the surface given z = f(x, y) = e*#v. Then, af 1. af 2. dy 3. The equation of the tangent p...

A:        

Q: 1. Prove that the two sets of conditions are equivalent. Here, T is a linear transformation and u, v...

A:

Q: [sin (21x) dx

A: ∫sin4(21x)dx Note- sin2x=1-cos(2x)2 and cos2x=1+cos(2x)2

Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

A: The given function,    f(x)=7sinπx ; 0&lt;x&lt;2π

Q: You are designing a poster which has a border around the printed portion. The border is 2 inches wid...

A: