use the limit defiriitioN ofthe derivative to find the slope of the tang ent line to it the curve fo -2xa at x-a

Q: is thrown straight up into the air from a height of 6 feet abpve the ground at a speed of 96 feet pe...

A: To find out the equation of velocity, equation of position, etc.

Q: 31/21 (sinx + |Sinx|)dx o Evaluate the integral fr/,“÷(s (sinx + |Sinx|)dx

A:

Q: Find the solution of the following initial-value problem d²y, dy + 4y = e, y(0) = 1, dr (0) = 2 %3D ...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliar...

Q: Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the ElectroS...

A: Given:- Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the ...

Q: The graph of a rational function f is shown below. 10] 4 -4 -2 2. 6. -2 a. What is the horizontal as...

A: Given: The rational function f is given below:

Q: 15 51 :- -/- -1- :- ーによ -1- イーキーーュ ナー ートー- ー ーー III II III IL 1,0 15 15 -1 ーャー- -15 r2 + 13x + 42 f(...

A: The given question can be solved as shown in step2.

Q: Show that the function f(x, y) x8 + y1 does not have a limit at (0,0) by examining the following lim...

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Q: Determine the behavior of the functions defined below. Note that it is common to write "f(x) → o" to...

A: We have to calculate limits

Q: x + 1 51. Vx4 – x

A:

Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' = 3[-1(...

Q: Find the limit  1) lim x--->2   ( x^2-x-6 ) / ( 4-x^2 ) 2) lim x--->0  sqrt(9+2x)-3 / 5x 3) limx-...

A:

Q: 4. Draw the graph corresponding to the following adjacency matrix: O 2 1 0] 2 0 1 2 A = 1 1 1 1 0 2 ...

A:

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f b...

A: We know that, the graphical transformation: 1). The transformation fx→afx can be obtained by stretch...

Q: The graph shows the positions = f(t) of a cart hours after 5:00 P.M. relative to its starting point ...

A: given graph

Q: (5tan2 elan 20 sec2 Bdß 1.

A:

Q: serfup but do notevaluate an integral that represedts the volume of the solid oft rer olution obtain...

A:

Q: Q2\3-Functions f and g are defined by f(x) = 1/x + 3x and %3D * .g(x) = -1/x + 6x - 4 find (f + g)(x...

A: According to our guidelines, only one question can be answered at a time, So I am answering only the...

Q: Determine the behavior of the functions defined below. If a limit does not exist or the function is ...

A:

Q: 9.) f(x) = (2x + 1)* %3D

A: The given function is: f(x)=(2x+1)4

Q: The line of intersection of II : 4x – 3y + z – 2 = 0 and - Пу : 2а + 5у — 32 + 4 — 0 is z – 2 %3D -1...

A:

Q: 3tan a sec? x dx (4+3tan=)* 2

A:

Q: lim f(x) = a. b. lim f(x) = c. lim f(x) = x3+ d. lim f(x) =

A: Follow the procedure given below.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: We need to determine whether given integral is divergent or convergent. ∫2∞5(x+6)19dx

Q: Using the Trapezoidal Rule with = 4 subintervals approximate the area under the sine curve f (x) = s...

A: Topic:- application of integration

Q: 1 Find the value of x for which the series +++ .… converges and express the sum as a function of x.

A:

Q: The graphs of two functions f and g are shown below. 4 3 -5 -4 -3 f(æ) Suppose the function h is def...

A: Graph is given

Q: Given that: lim f(x) = 5 lim f(z) = 8 lim g(x) = 10 lim %3D 25 9(x) = 0

A: Given, limx→5f(x)=5      limx→-5f(x)=8limx→5g(x)=10    limx→-5g(x)=0    

Q: Given f(x)=3x+8, evaluate (f(x))^2

A:

Q: State the value of each of the quantites below. A) limx---> -4^-   F(x)= B) limx---> -4   F(x)= C...

A:

Q: Write an equation for the function graphed below 5+ 4+ -7 -6 -5 4 -3 -2 -1 -1+ 4 5 6 7 -2+ -3 + -4 -...

A: we use end behaviours and intersection points to predict the function for the given graph. a screens...

Q: 1) Sketch the graph and test the symmetry of the following : r = 10 r =-14sin 0 p? = 9sin 20

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Q: For the function g(x) = - (x+4)2 +9, find each of the following by referring to the graph. (A) Inter...

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Q: The height  (in feet) at time (in seconds) of a ball thrown straight downward from the top of a -foo...

A: h(t) =-16t2-30t+600diff w.r.t  "t"dhdt=-16(2t)-30+0dhdt=-32t-30 ⇒ v(t) =-32t-30 ; t1=1,t2=3  

Q: Estimate of f′(3)

A: NOTE: Refresh your page if you can't see any equations. . to find the value of f'(3), we need to jus...

Q: Evaluate the limits. If any of them tend towards -00 or +∞, enter "oo" (two lower case "o" letters) ...

A: We can find the limit as below

Q: (2) An open metal pan is to be made by cutting out squares of the same size from the corners of a re...

A: the volume of a rectangular box  domain  the check function is continuous of not

Q: a. Where do they intersect? b. Recall, to find the area of this region we are splicing this up into ...

A: Follow the procedure given below.

Q: JO Find the largest eigenvalue and the corresponding (4 2 1 3 eigenvector of the matrix by power met...

A:

Q: If a cup of coffee has temperature 95°C in a room where the temperaturé is 20°C, then, according to ...

A: Given:- If a cup of coffee has temperature 95°C in a room where the temperature is 20 °C , then, acc...

Q: 3. Find a positive root of cosx - xex = 0 upto four decimal places, using Newton-Raphson mehtod. %3D

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

Q: Determine the following. Refer to the graph.  a. limx-> -1 f(x) = __ b. limx-> 0 f(x) = __ c. lim...

A: Topic = Limits

Q: Find the derivative of coth (gx) 3 tue fuchion y =

A:

Q: Let F(x, y, z) = (2x, y, –2z) be the velocity field of a fluid. (a) Calculate the surface integral |...

A:

Q: convert -240* to radians a -5n/4 b -5n/6 c -4n/3 d -7n/6

A: To convert -240° into radians.

Q: -Q2\5 The domain and range of the following function f (x) = is : (-00, -1] U (1,+ o0) (-00, -1) U (...

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Q: 1.) f(x) = (2x + 1)(3x – 2)

A:

Q: Find a suitable integrating factor u(x) or y) and show that the following differential equation is e...

A: The given differential equation is: x2-xy+x3sin x dx+x3y+x2 dy=0 ;       yπ=1

Q: Given f(r) = find the average rate of change of f(r) on the interval [8, 8 + h]. I + 10 Your answer ...

A:

Q: Problem 1 Let A and B be two finite sets, with |A| = m and |B = n. How many distinct functions (mapp...

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Q: Let f be twice differentiable with f(0) = 6, ƒ(1) = 5, and f'(1) = 3. Evaluate the integral So x f"(...

A: