Solve the problem. 9) Bethany needs to borrow S8000. She can borrow money at 6.9% simple interest for 3 yr or she can borrow at 6.5% with interest compounded continuously for 3 yr. Which option results in less total interest? 9)

Q: Select the graph of the quadratic function f(x)=x²+2x+2. Identify the axis of symmetry.

A:

Q: Instantaneous Velocity The velocity of moving object at a point during its motion can be determined ...

A: The given velocity function is: f(x)=-x2+6x-2 where x is the time in seconds.  

Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: hypothetical

A: We will find the rate of change of sides of the cube. 

Q: Evaluate the integral. (Hint: rewrite cot, do u-sub) R/8 4 cot (40) de n/16 In 2 2 In 8 2 O In 2 In ...

A: Given definite integral can be solve using substitution method . 

Q: The requved values tor a qud b tor Ple funston to be contimues at x=

A: Use simple continuity theorem.

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A: answer of given question is in step 2

Q: Determine whether the function has an inverse function. If it does, find the inverse function. f(x) ...

A:

Q: Consider the coordinate vectors (w)s -3, [als [B]s %3D %3D 4. 3 (a) 8)}. w = (?, ?, ?) W 3= (b) Find...

A:

Q: Determine Dariuior souHon 2y"+ Sy't 3y •0 : y(O) = 3 , y'C6) •z

A:

Q: Consider the following alternating series. 2(-1)*-1 -5+6k 5 + 2k k=1 a) An alternating series can be...

A: To find  bk from the given series and then find limit of bk as k tends to infinity.

Q: Select from the following which is the polynomial function that has the given zeros. 0, - 7, -3 O f(...

A:

Q: A particle moves on a coordinate line with acceleration dt? = 60 f - 18 subject to the ds = 8 and s ...

A:

Q: B. Solve the following problems: 1. Find the equation of the tangent line to the the curve y = 3x² –...

A:

Q: Find dy/dx implicitly and find the largest interval of the form -a <y <a or 0 < y <a such that y is ...

A:

Q: 2. Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) : ...

A:

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +...

A:

Q: Exercise 15. Let f(z) cos z (z2-1)2 The residue off(z) at zo = 1 is a) – sin 1 b) sin1cos 1 c) -(sin...

A:

Q: 2. (1-y) y' = x2

A: The given DE is: (1-y)y'=x2...(1)

Q: S cot5xdx S sin³ (2x)cos²(2x)dx 3

A:

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +...

A:

Q: uestion 12 Suppose that k is a real constant such that all the tangents to the curve y = In(x? + 1) ...

A:

Q: 3. Compute the integral /// y dV, where U is the part of the ball of radius 3, centered at (0,0,0), ...

A:

Q: Consider the following alternating series. k9 と(-1)+1 k12 + 4 k=1 a) An alternating series can be wr...

A: The given series is (-1)k+1 k9/(k12+4). 

Q: Given that v = and w =. Find

A:

Q: Use substitution to find the indefinite integral. ((8+3 In x² xp- Describe the most appropriate subs...

A:

Q: ind all values of x for which the series converges. (Enter your answer using interval notation.) 8. ...

A:

Q: The point A has coordinates (-3, 5). If A is moved 3 units upward 6 units to the left, what are the ...

A:

Q: Consider the following alternating series. (-1)*-1 3k +2 k=1 a) An alternating series can be written...

A:

Q: 22+88

A:

Q: Determine whether the series converges. 2k – 1 k=1

A:

Q: Solve the differential equation. Sy2 dy dx Oy = - 8ln x + c O y = 24ln x + C O y== Sln x +C -1 O y= ...

A:

Q: Consider the following repeating decimal. 0.8 (a) Write the repeating decimal as a geometric series....

A:

Q: Calculate the directional derivative of g(x, y, z) = z? – xy + 2y² in the direction v = (1,–4,6) at ...

A:

Q: An oceanographer took readings of the water temperatures C (in degrees Celsius) at several depths d ...

A:

Q: Sketch the graph of of the functian given below. f (#,y)= 9 -x ²-y²

A:

Q: CABA CITY Bonus Problem: 15. Find the slope of the tangent line to the ellipse 4x2 +3y² = 16 at the ...

A:

Q: 34. (5 16x³) dx

A:

Q: Get Part CUlor solu ti om ay 2メy dt 2y?); *=0, y=4

A: The given differential equation is dydx=2xy(3x2-2y2); x=0, y=-1

Q: Cansider the functions and its 1st devnative 4 h(g) = 5q* – 2q% → h'(q) = 10q² – 4q? 2 r(r) = 5n(2) ...

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

A: g'(t)=0⇒t×ddt(14-t)+14-tddt(t)=0⇒t×1214-t×(-1)+14-t=0⇒-t+2(14-t)=0⇒-t+28-2t=0⇒-3t+28=0

Q: ди Calculate the partial derivative using implicit differentiation of + y = 6 at (x, y, w) = (1,2, 1...

A:

Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,...

A:

Q: g(*) = ln (-3x+11) %3D calculate (X), A) 2(-3r +11)-3 B) -3(-3r + 11)-1 C) -54(-3r + 11)-3 D) -9(-3r...

A:

Q: Evaluate the integral. (Hint: rewrite cot, do u-sub) 1/8 4 cot (40) de 1/16 O In 2 In 2 In 8 2 O. In...

A:

Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 10 -2 -...

A:

Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.40 mm/min. How fast is t...

A:

Q: 4. Lim log1/2 x x-2 sin 2x 5. Lim

A:

Q: Let fun chan defined by g(2) = V Z+8' –-8, ts devivalie z+h+8- Vz+ 8 is equal to the expressian. A) ...

A: