Define function rules f(x) = 2 Vx-1 by using the limit rule f'Cx) lim f(xth) - FCx) %3D

Q: Find the equation of family of lines whose sum of intercepts is equal to 5.  Show solution and grap...

A:

Q: Explain why each of the following integrals is improper. (a) dx (x - 9)3 O since y=- - has a vertica...

A:

Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check you...

A:

Q: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

A: Given:- (ex +y) dx +(2+x+yey ) dy=0 To find:- General solution for given differential equation

Q: . Determine whether the given sequence converges, and, if it does, find the limit. i. an = sin ii. a...

A:

Q: For function, find the point in the graph at which the tangent line has slope 9 Y= -0.025x^2+6x What...

A: The given function is:Y=-0.025x2+6xThe slope is 9

Q: 3. 2. 13) tan -1 3. V3 15) sin- 17) tan-1 1. 19) sin--

A:

Q: 5* dx 1+5*

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: Eliminate the arbitrary constants b2 x2 - a2y? = a²b? %3D |

A:

Q: Use sigma notation to write the sum of the given equation

A:

Q: Find the general solution of * yV - 2y" + 10y" = 0

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please r...

Q: 2. 2. 1. 14) sin- 16) sin-. 18) cos -1 20) cos 2.

A:

Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember...

A: We have to find integral

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: a videoke machine can be rented for php 1000 for three days,but for fourth day onwards,an additional...

A:

Q: Using the graph of g(x) below, answer the following questions. 1.0 E4 a) Where is g(x) > 0 ? (Enter ...

A:

Q: (c dx Since y=x?e-6x2 has a vertical asymptote at x=0, the integral is improper. Since y=x?e-6x2 has...

A:

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A: Solution : Given that if we add 1 in denominator and numerator of a fraction we will got the new fr...

Q: Find the differential equations of the families of all circles

A:

Q: 1 x-1, 2 x 0 Is f(x) continuous at x = -4? O a. Yes, the limit from the left-hand and right-hand sid...

A: Check the countinuity of the function at x=-4 .

Q: Find dw/dr and dw/dΘ for w=2z/y-3x if x=3Θ+2r, y=3r^2 + Θ, and z =4r-Θ, where Θ = 2 and r = 5.

A:  w=2zy-3xx=3θ+2r,y=3r2+θ, z =4r-θTo find ∂w∂r and ∂w∂θ for θ=2 and r=5

Q: Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 8 by calcu...

A: Hence, the third approximation is x2 = 2.16

Q: Find the exact value of each exp V3 sin 2 Si

A:

Q: 3 x° +x* dx x² 4 3

A: The given integral is solved below in detail.

Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+ 2...

A:

Q: d?y dy + 5 14y dx2 dx Determine the Characteristic Equation for the given Differential Equation.

A: For solving such differential equation we put y=erx, where r is any constant.Since , d(eax)dx= a eax...

Q: Determine whether the integral is convergent or divergent. 5 dy 1 4y convergent divergent If it is c...

A: We have to find the convergent test

Q: know what the derivative of e^(g(x)) is and what the derivative of In(g(x)) is. I.e. the chain rule ...

A: From chain rule  If g(x) is a differentiable function, then the derivative of eg(x) is g'(x)*eg(x) ....

Q: Write down the first five terms of the following recursively defined sequence. ɑi = 2; an+1 = -2an +...

A: Topic:- sequence and series

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A: Solution Given that If we add 1 in both numerator and denominator then we get a fraction 4/5. And i...

Q: Find the lim and lim of cos(2x³). 0--x

A: The solution are next step

Q: The limit of a constant is equal to the constant itself regardless of any value of x nearer to a num...

A:

Q: what relationship should be present between two vectors for the law of cosines and sines to be used ...

A: a) for cosine law, the two vectors should have an angle between them. We should know any three eleme...

Q: 4а — 2b — Зс + d — 3 2а - 2b — 5с %3D — 10 || 4а + b + 2c +d — 17 За + с + d — 12

A:

Q: Use algebra to simplify the expression before evaluating the limit. In particular, factor the highes...

A:

Q: f(t)=16t^2-64t, then f’(t)=

A:

Q: sec?xdx Evaluate the given function ſ 1-4tanx

A: put 1 - 4 tan x = t , differentiating with respect to x      d/dx(1 - 4 tan x) = dt/dx      d/dx(1) ...

Q: If a function f(x) is not defined at x = a, then the limit of f(x) as x approaches a never exists. S...

A: Since you have asked multiple question, we will solve the first 3 question question for you as per o...

Q: Let F(x, y) = 1+ 4 – y². a. Evaluate F(3,1). b. Find the domain of F. c. Find the range of F.

A: Given:

Q: de 2 C:and 0.1784 arctan + C; and 0.1784 arctan aretan k- + C; and 0.1784 arctan

A:

Q: Determine the solution to the initial value differential equation y'+ 3 y = 4 x y(0) = 3 y (x)=

A: First order differential equation : Consider the first order differential equations                 ...

Q: Find the horizontal asymptote(s) of the function _P(z) f (x) where p (x) = 11,² – a – 2 and q (x) = ...

A: Given:      fx=pxqx  where px=11x2-x-2              qx=10x4-3x then fx=11x2-x-210x4-3x    Line y=L i...

Q: Hello, Please answer the following attached Calculus question correctly and show all your work compl...

A:

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx 

Q: 3. (10 — 6у + е 3а) da — -32 2dy = 0

A: The given differential equation is: 10-6y+e-3xdx-2 dy=0

Q: y = Arc tan Vx

A:

Q: 12 | g(t) dt = 30 4. 9(7) V3 9(12) = 4 12 g'(x) Evaluate: dr = 16 + (g(x))²

A:

Q: Write an equation of the tangent line to the curve f (x) = 3//a + 8x at the point (4, f (4). Upload ...

A: We have to calculate slope of the tangent

Q: 2x -1 Evaluate the given function S dx 2X+3 a.+In[3 + e2*] +C b.- In[3 + e2*] + C 3 3 --+In[3 + e2*]...

A:

Q: Consider a circle with equation x² + y² = 20 and the point P with coordinates (-1, 2). Is P inside, ...

A: We have to solve the circle inside, outside, or on circle