According to the alternate form of the definition of the derivative, to compute f′(0), we need to compute the left-hand limit let f(x)= {-5x^2+5x for x<0 5x^2-2 for x ≥ 0 lim as x approaches to 0 minus

Q: 1 의( (eat – ebt)} = %3D la-b (s-a)(s-b)

A: Here we have to prove that,  L1a-beat-ebt=1s-as-b

Q: 1 16k2 + 8k – 3 k=1 ||

A:

Q: 1. Without a table of values and without graphing f(x), give the values of the following limits and ...

A:

Q: 4. (6x + y')dx + y (2x-3y) dy = 0 ans. 3x + xy - y = c

A:

Q: For each function, do the signs of the first and second derivatives of the function appear to be pos...

A:

Q: Find the inverse of g(x) = 7x+9. g(x) = (Simplify your answer.)

A:

Q: Given the combined differential operators for a given differential equation (D + 4)(D – 3) (D - 4) D...

A:

Q: 2. Tell the continuity of the function () = {_2x +5. 4x - 2, x> 2 a.) Illustrate the graph b.) Evalu...

A: A straight line is continuous at each real point. A function f(x) is continuous at x=a iff limx→a-f(...

Q: The curre y=J36 - z' , -4£ x s4 will be rotated about the ルーaXis. find the area that results af the ...

A:

Q: Given f(x) = 4/x – 5, find f'(æ) using the limit definition of the derivative. f'(x)=

A:

Q: 7x-8 6x + 8 Let f(x) = and g(x) = %3D %3D 7

A:

Q: A metal sheet is situated in the xy plane so that the temperature T = T(x, y), in degrees Celsius, a...

A:

Q: A binomial probability experiment is conducted with the given parameters. Compute the probability of...

A: We have to find p(28) Given n=30 , p=0.95 and x=28

Q: Solve using horizantal S,ļide EX g. Evaluabt.fx.d. wha..ia.the..rsgem.in.the first quadrant.bounded....

A:

Q: _15. lim X-4 2x-8 is x+4 a. 0 b. -6 c. 2 d, does not exist

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: If x tan x 3, what is the value of -x tan (-x)? %3D

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Given Series ∑k=1∞-27k

Q: Let f(x) = 2/3x3 + x2 − 12x + 17. Find the values of x for which the following are satisfied. (Enter...

A:

Q: Find the area of the region bounded by 5x, y = 125x, r = -5, x 5 %3D %3D Give your answer to the nea...

A: This question is based on application of integration.

Q: find f'(t) and f"(t).

A:

Q: Given the general solution to a differential equation and its initial conditions y (x) = C, e-3* + C...

A:

Q: 14. Find the linearization, L(x,y,z) of the function f(x, y, z) = x³Vy? + z? at the pointP, (2,3,4)....

A: We have to find L(x,y,z) and by use of that we have to find the value of 1.9833.012+3.972

Q: solve using limits f(x) = x^2 + 2x - 3,   at f(x) = -4

A: The given function is f(x)=x2+2x-3 at x = -4  

Q: x2 + 1 dx (x – 6)(x – 5)2 |

A: To solve the integration of the integrand (x2+1)/(x-6)(x-5)2 , we use partial fraction form. 

Q: 12. cosx(1+ tanx)² = secx + 2sinx %3D

A: Prove : cosx ( 1 + tanx)^2 = secx + 2 sinx

Q: Given the general solution to a differential equation and its initial conditions y(t) = C,14 + C,-2 ...

A:

Q: Suppose a small company sells speakers. The company determines that the supply function for speakers...

A: Answer -  To maintain supply and demand their will be equilibrium in this, So   supply function = de...

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

A: Given:    x = 8     dx/dt = 1.3  Ladder length = 10

Q: -. .- --- .... ...

A:

Q: В E A 37 32 22 14 -- В 3 10 38 8 27 -- 37 10 11 30 -- D 32 38 11 17 39 -- E 22 8 6 17 44 -- F 14 27 ...

A: This question can be solved using the rules of Kruskal's algorithm: STEP 1: First arrange all the ed...

Q: Write the first five terms of the sequence, give the exact answer: +oo n n + 19 n=1 Determine whethe...

A: We have to find first 5 term of sequence and we have to check weather it is convergent and divergent...

Q: 4. y = sin(cos 3x) – sin x cos 3x |

A:

Q: Consider the table showing past and projected federal revenue, spending, and GDP. All figures are in...

A:

Q: [xsechtx'dx

A: Topic:- integration 

Q: D. z= X = Cos t, y = sin t; t = T/2 y? + 1'

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

Q: Prove BCスツ+)B[スかリック =B(X1y)

A:

Q: Consider the function on the interval (0, 2x). f(z) = 5 + cos(x) (a) Find the open intervals on whic...

A: Here, the given function is: f(x)=π2+cos (x)⇒f'(x)=-sin x

Q: 39. For each condition, find unit vectors å and b or explain why no such vectors exist. (a) |a+헤-0 (...

A:

Q: How did he get the value inside the circle? (C 579 Sin ($/4)

A: Gamma(z) •Gamma(1-z) =π/sinπz Replacing z by 1/4

Q: Given the differential equation y" - 4y' + 13y = 8 e2* cos(3x) Determine the General Particular Solu...

A: Given differential equation, y''-4y'+13y=8e2xcos(3x)  

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

A:

Q: Marvin won a $200 gift certificate from a local car wash. Every time he gets a car wash, it costs hi...

A: Given:   Won = 200     Cost = 8.95

Q: Determine whether the following equation defines y as a function of x. x +y = 121 Does the equation ...

A: The objective is to determine whether the given equation defines y as a function of x.

Q: The owner of a ranch has 3,900 yards of fencing material with which to enclose a rectangular piece o...

A: We have to find dimensions and largest area. Given the owner of a ranch has 3,900 yards of fencing m...

Q: Evaluate the iterated integral f Só 6x²y° dxdy

A: Given:    ∫03∫02 6x2y3 dxdy  

Q: Solve the following differential equation using appropriate method. 5. (2xy- 3x?) dx + ( x² + y) dy ...

A:

Q: Q2-5 what is the simplified expression for ). You may chose following; one answer from the (-1)"-12....

A:

Q: 2. Find the general solution of each of the following homogeneous equations- If an initial value is ...

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask ...

Q: Determine whether the sequence converges or diverges. If it converges, find its limit {((-1)^n)/2n}

A:

Q: 3k +1 a) Let ak = 2k Find ak k=1 (– 1)" b) Let b, n2 + 1 2 Find bn n=0

A: