If the limit of a function f at x-3 equals -4, then which of the following are true?

Q: Find an equation of the line tangent to the graph of G(x) = 7 e -5x at the point (0,7). The equation...

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Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - The contour...

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Q: Determine the derivative of f(x) = 3 x² In x with respect to x. f'(x) = |

A: We have to find f'(x)

Q: Are there any points on the hyperboloid r2 - y? – 22 = 1 where the tangent plane is parallel to the ...

A: Given hyperboloid ;    x2-y2-z2=1  and equation of plne which is parallel to tangent plane  x+y-z=0

Q: Find the equation of the line tangent to the graph of f(x)= (In x)2 at x= 3. y%3D (Type your answer ...

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Q: Use the formula to calculate the balance A of an investment (in dollars) when P = $2,000, r = 4%, an...

A: Given:   A = 2000    r = 4% = 4/100 = 0.04     t = 10

Q: Find the horizontal asymptote(s) of the function p(x) f (2) = Va(2) where p (г) — 6а2 — а — 2 and g ...

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Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the...

Q: S Vx2 – 8x + 25 dx

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Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: We have to find area on Monday.

Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

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Q: dy +Ydy=e'

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Q: If the domain of the function f(x) is {r E R| – 2 < x < 4}, the the domain of the function g(x) = f(...

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Q: A rectangular storage container with an open top is to have a volume of 10 m³ . The length of the ba...

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Q: Solve in detailed solution A. Í (4x³+x) v4x²+1dx B. (x+2) Vx+3dx

A: Let I=∫(4x3+x)4x2+1dxI=∫x(4x2+1)4x2+1dxI=∫x(4x2+1)(4x2+1)1/2dx I=∫x(4x2+1)32dx Put (4x2+1)=udifferen...

Q: Integral Calculus Solve in detailed solution. A. Í (4x°+x) v4x²+1dx B. Í(x+2) Vx+3dx

A: (A). The given integral is: I=∫4x3+x4x2+1 dx

Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v

Q: raph of a function is given. y hich x in the range shown is the function increasing? For which x is ...

A: Given query is to find the interval of value of x where function is increasing and decreasing.

Q: Find an equation of the tangent to the curve

A: Given that: x=tcost and y=tsint

Q: Compute the directional derivative in the direction of v at the given point. f(x. y) = xy - x, v=i-j...

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Q: 6x 4) Find the average value of the function y on the interval from x = 1 to x = 5. x2+1 Hint-- the ...

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Q: 3. For the given function below, find 2x* - 3x3 - 21x? — 2х+ 24 y : 2x* -7x3 —11х? +22х +24 E. Infin...

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Q: 6. Compute the volume of the solid that lies above the paraboloid z = r² + y? and below the half-con...

A: Given: z=x2+y2z=x2+y2

Q: Question Evaluate the following limit using L'Hospital's rule. lim (x+ 6) In ( (æ + 6)² ) z-6+ Provi...

A: if the limx→af(x)g(x) is of the form ∞∞ then by L'Hospital rule the limit is equivalent to limx→af(x...

Q: 04 +C 3lne d0 = 2e (A) True B False 2.

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Q: Problem 1: Find the area of the surface generated when the given curve is revolved about the y-axis....

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Q: Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use s...

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Q: t f(x) = 2x - 3 and g(x) = x + 5. %3D a. 2. g(x) = 2( x + 5) = 2x + %3D b. 5 g(x) = 5(_) = 5x +, %3D...

A: Given f(x) = 2x-3 and g(x) = x+5                a)     2.g(x)=2(x+5)                    = 2x+10 b)  ...

Q: Find the Domain and Range x-4 1. y

A: Given that: y=x-4x       NOTE: As per our answering guidelines, we can only answer 1 question or 3 s...

Q: Evaluate  ∫√(1-7x^2) dx

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Q: Let f (a, y) — 5x? — 8ӕу + 2у - fy 10х - 8y 4y -8х + 4y 10х -8х + 4у

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Q: Given the set of information, find a linear equation f(x) satisfying the conditions, if possible. (I...

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Q: 1. Using tables of values, determine the limits of the following. (i) lim (x° + 1) x→1 (i) lim(1 – a...

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Q: 3. Construct a table of values to investigate the following limits: 10 a. lim T→3 x – 2 10 b. lim T→...

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Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible va...

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Q: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [": 'V1...

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Q: Question 1 Find the limit. lim,-0(1 + 6x )' where r = 9/x. Write the exact answer. Upload your work ...

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Q: One the first day of class, a professor asks each student what country they are from orginally. What...

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Q: A company's total cost, in millions of dollars, is given by C(1) = 130 -60e where t is the time in y...

A: The company's total cost, C(t)=130-60e-t

Q: Find the unit tangent vector at the indicated point of the vector function r(t)=e^(18t) cos t i+e^(1...

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Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light, 2...

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Q: Question 14 Which of the following is an equation of the parabola with the following properties: ver...

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Q: Consider the following. f(x) = x* + 3 Find f'(x). f'(x) = Find the value of dy when x = -4 and dx = ...

A: f(x)= x4+3  Find 1) dy/dx  2) dy when x= -4 and dx= -0.01  3) ∆y when x= -4 and ∆x=-0.01 

Q: Write the function g(x) (in blue) in terms of the function f(x) (in red). 2 -3 -2 6. -1 5.

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

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Q: 1) appropriate (inverse) substitution, i.e. a correctly labeled right triangle: Reduce the following...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Evaluate the following functions using the given relations. f(1)= 4 ; f(2) =-1 ; f(3) =-3 Relation: ...

A: Since you have posted multiple question as per guidelines we can solve only one question at a time s...

Q: 4 – 2x dx. x3 + 2x2

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Q: 22. n/2 sec (t/2) dt 24. | (tan?x + tan*x) dx

A: using the properties of integral we find the given integral 

Q: solve the second order differential equation ; y''+4y'+5y=8xsinx

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