5. Find the value of k that would make the limit exist. lim f(x) 6. Find the intervals on which the function is continuous, f(x) x² + kx-10 x-2 2+4 = 22-12r+32

Q: A=70(1.06)t what is the rate

A: A=70(1.06)t what is the rate

Q: 12. Suppose cotx x = 7/7 Determine the exact value of tan(-x).

A: We have to calculate the exact value of tan (-x).

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: Given curves:- y=1x,y=0, x=1 and x=4

Q: Dis the resultant of which two vectors? Vector D 4 B D

A: Given,

Q: ↑ How many years will it take $3,000 to grow to $4,700 if it is invested at 5.75% compounded…

A:

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A:

Q: Problem 2: Find the third derivative of y y=62x² (√4x²)

A:

Q: Is w = 2² analytical function or not?

A: The given complex function is: w=2z

Q: please find the derivative of (x5 - 2)/sin (3x) + 5

A:

Q: 27. {an} = 2n (n+1

A:

Q: Evaluate the multiple integral X COS [ f(1/4) y dy de sin(5/4) 2 Enter the numerical value accurate…

A:

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate…

A: We have to evaluate  log7 a2b497.

Q: lim g (y) where, g (y) = = Jy²+5 3-3y lim g(y) y² +5 if y -2 ify <-2 if y≥-2 g(y) --1 = -1.9 √y²+5…

A: We can draw the graph of the function and interpret the limit  of the function.

Q: Q.1.A: Find the domain and range of each function (choose only two) G(t)= F(t)=

A: Given function : F(t)=43-t and G(t)=2t2+6

Q: 2. y' = 2y4+x4

A:

Q: 9:16 Let f(x, y) = 17 A) fx (x, y) B) fy (x, y) 8 18 = = 2 = C) Find f(-2, -3) Add Work…

A: To find the equation of the tangent plane.

Q: If f(x)= 1 √/2x+1 find f(x+h)-f(x) at h=0. h

A: The given function is: f(x)=12x+13

Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

A:

Q: the arbitrary constants and G from the given equation below. y e3x = Fsin2x + Gcos2x

A:

Q: Consider the following function. x². f(x) = - 16x + 63 X-7 (a) Explain why f has a removable…

A:

Q: in the function f(n)= nf(n-1)+2,

A: We have to find the value of f(12) according to given information.

Q: 1. Consider the plane 2x +2y - 3z = 18. (a) Find a point that is not on this plane. (b) Find an…

A:

Q: lim g (y) where, g (y): = -2 y² +5 3-3y lim g (y) y² +5 ify -2 y+-2 ify <-2 if y≥-2 g (y) = {1-3y…

A: We have to find the graph and to interpret and analyze the limit.

Q: Solve for the particular solution of the differential equation below when s=2 and 0=π/4 tanede +…

A:

Q: 1 cos(4(1.001)-4) 2((1.001)-1)

A:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line. Line…

A: Equation of tangent line parallel to given line on the function f have to find.

Q: f(x) is shown in black (the thicker line), g(x) is shown in red (the thinner line). 8+ 7 6 5 4 3 2 1…

A:

Q: Eliminate the constant: 3x 3x y=c₁₂e³+€₁₂€ ³ Oy"-4y+3y=0 Oy"-6y¹+9y=x Oy"+ 6y' +9y=0 Oy"-6y'+9y=0

A: Given: From the above, we see that the root of the characteristic equation will be 3, 3. So, the…

Q: Q4/An armed paratrooper weighing 320 lbs. jumped with initial velocity from an airplane at an…

A: Solution

Q: Question Find the antiderivative of r' (t) = {√t, cos (4πt)) that satisfies the initial condition r…

A:

Q: Identify a pattern in the given list of numbers. Then use this pattern to find the next number.…

A:

Q: Let f and g be differentiable functions such that f' (1) = 2 and g' (1) = 6. If h (x) = 5f (x) - 4g…

A: Given: f and g be differentiable functions such that f'1=2 and g'1=6 hx=5fx-4gx+3x2-2 To find the…

Q: n=0 1 4n

A: Solution of given question is written in below steps.

Q: 3. Evaluate f'(5) for y= √4x + 5

A:

Q: the shell method to set up and evaluate the integral that gives the volume of the solid generated by…

A:

Q: Consider the function f(x) over the interval (0, 2). Does the Extreme Value 4-22 Theorem guarantee…

A: We have given function  fx=14-x2 , over interval 0,2 Extreme Value Theorem : It states that if a…

Q: A ferris wheel is 20 meters in diameter and boarded from a platform that is 3 meters above the…

A:

Q: Evaluate the multiple integral 2x [ [² r dz dy dr Do not include spaces.

A:

Q: -5 -4 -3 -2 -1 -6- -5- 4 -3 2 1, O y = f(x) -y = g(x) 1 2 345 X

A:

Q: The graph of the function is given in the attachment . Please find the domain and range

A:

Q: Radioactive Radon After 3 days a sample of radon-222 has decayed to 58% of its original amount. What…

A:

Q: If a b 8, then what is ba equal to? 18 ● 8 = More information is required. -8

A:

Q: Let f(x)=5x+7 Let g(x)=ln(x)−3 Find the following: (1.) g(f(x))= (2.) f(g(x))= (3.) f(f(x))=

A:

Q: If f(x) = ax -3x+1 and f(2)=7, find

A: We can find the value of 'a' .

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A:

Q: 10. Graph the the parent f(x) = e. Then use the graph of f(x) and translation to graph g(x) = e-1.…

A:

Q: Evaluate Answer: [*cos'a dit.

A:

Q: 3n (0₁)} = {(-1)^³0 - 1} (−1)″ n 31. {an} =

A:

Q: dx = √ (+2²+5) ² 12 =

A:

Q: Determine the value of k such that y=4x²-3e²t is a solution to x(1−x)y''+ (2x²− 1) y'+k (2x − 1) y=0…

A: