Find the value of the constant k that makes the function continuous. 2x-2x-12 if x#3 g(x) = x- 3 kx - 8 if x= 3 k =

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Q: 49. Let x = 0.99999 . . . . (a) Do you think that x< 1 or x= 1? (b) Sum a geometric series to find t...

A: Let's find. 

Q: Determine convergence or divergence

A: Given that: ∑n=2∞1n(n-1)

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Q: Convert 7383 to a numeral in base 4. 7383 = D %3D 14

A: Topic:- algebra

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Q: Directions: Use the reference angle and appropriate sign to find the exact value of each expression....

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: Evaluate the definite integral: (4x – 4) dz

A: Evaluate the definite integral

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Q: For the following differential equations, determine a. order b. degree c. linearity(yes or no) d...

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Q: Tucker is interested in the number of stray cats near campus and has tracked 100 stray cats that wer...

A: The number of stray cats living near campus each subsequent year is recorded in the table below:

Q: IDENTIFY THE CORRECT U

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Q: 1 Let f(x) and g(x) %3D %3D x - 1 x - 1 Give the domain of fo g(x). Use interval notation and give v...

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(4) = 11, f(11) = 3, f'(11) = 8, f'(4) =...

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Q: Evaluate the integral. 5n /2 2, 1 - cos t dt 3π/2

A:     ∫3π25π21-cos2tdt=∫3π25π2sin2tdt=∫3π25π2sintdt=∫3π22π-sintdt+∫2π5π2sintdt=1+1=2

Q: find the maximum or minimum value of the function  g(x)= 100x^2-1100x

A: The second derivative test  Let f(x)  be the given function and c be the critical point of f. If f"...

Q: Drawing Example 1: Use the definition to find the derivative of the function f(x) = x? - 2x Solution...

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Q: 5) B 57 43° A 12 Y 7) 64° 7 C Solve each triangle. Round

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Q: The graph of y = f(x) (solid) and y = g(x) (dashed) is shown 6+ 4 -6 -5 -4 -3 -2 -2- -4- -5- -6+ Fin...

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Q: Show how to use the Intermediate Value Theorem to show that the equation z – V4z = 7 has a solution ...

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Q: Evaluate the following integral: 23: tanh 7tx dx

A: Given that: ∫tanh(7πx)dx

Q: Let F(x) = f(xº) and G(x) = (f(x))® . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(a") = 5 Th...

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Q: WCLN PCMath 12 - Rev. 2019 o 10 Lesson 2- Solving Trigonometric Equations for Exact Values r olaluot...

A: Given:- (tan(θ) +1) (√2sin(θ) +1) (2cos(θ) -1) =0 To find:- Solve the given problem interval [0, 2π]...

Q: Find the limit: 1+y² In lim (x,y)→(1,0) l22+xy/

A: Topic:- limits 

Q: Error Analysis. Below is the solution (possibly, with errors) for the derivative of the given functi...

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Q: (a) Estimate the area under the curve across the given domain with the "Trapezoidal Rule" using thre...

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Q: Q#3: a) Evaluate the following integralS sec®x dx by using the reduction formula of cosine. b) Expre...

A: Question no. 3a,Given,           ∫sec8xdx

Q: x t 4x +3 x- x -2 f(x): 1 [x +3] 17X71- x 2 1 lim f(x) f(x) lim x-> 2

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Q: Given the following polar equations, find the eccentricity and identify the type of conic; write an ...

A: According to company guidelines, since you have posted two questions, so I'll solve the first questi...

Q: Find the area of R - region bounded by the curve y = 1/x2 and the lines y = x and y = x/8 O 1

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Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal no...

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Q: A cell site is a site where electronic communications equipment is placed in a cellular network for ...

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Q: Evaluate S dx by letting u = x – 1. The given integral can be transformed to S h(u)du. If we evaluat...

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Q: 10. 0 – 3x6 2.

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Q: 5. Let 1 -1 -2 0 1 1 A 1 6= 2 1 1 -2 4 -1 k (a) Find RREF of augumented matrix A : b. [4:6]. (b) Fin...

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Q: Evaluate the integral 3 sin(t)dt

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Q: Jon's bathtub is rectangular and its base is 12 ft. How fast is the water level rising if Jon is fil...

A: Find your answer below 

Q: A cup of hot coffee is placed in a cold room.  The temperature (in degrees Fahrenheit) of the coffee...

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Q: 3. The graph shows a hill walker's trek. She stopped for a rest at 12:00 and for lunch at 13:00. 11:...

A: Given, the distance-time graph of a hill walker's trek. We know that, the slope of a distance-time ...

Q: Evaluate the integral. 3. 2 sec °x dx * T/ 4 - π/4

A: Given that a integration and we solve this integration by using general property of integration. We ...

Q: If f(x) = e*g(x), where g(0) = 1 and g'(0) = 4, find f '(0). %3D %3D

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Q: Solve the separable equation using the integral factor  Sinx dx + ydy = 0, when x=0, y=1

A: Topic:- application of integration

Q: Find dy/dx for the equation xy − y − 1 = 0 by implicit differentiation.

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Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

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Q: 24 - dx /3- 4x (х + 1) 3.

A: Given that:                        

Q: Find the general explicit solution to the differential equation xyy′ = x2 + 1

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Q: Given that f(x) = x² g(x) = x + 15, find 11x and | (a) ƒ + g = (b) ƒ – g= (c) fg = (d)

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Q: a quadratic function f is given  f(x)=-4x^2-12x+1  a) express fin standard form  f(x)= b) find t...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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