g. What is the general equation of a circle whose center is at M(5,-3) and whose radius is 4 units. Sketch the graph. ||

Q: Complete the table by finding the balance A when P dollars is invested at rater for t years and…

A:

Q: 3). .Use the Comparison Test to determine whether the series converges. ∞     n = 1an where an =  2…

A: The given series is:∑n=1∞ an ;      where an=2n(n+4)

Q: 2. Suppose that f(1) = 2, f(4) = 7, f '(1) = 5, f '(4) = 3, and f" is continuous. Find the value of…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 11100 cubic centimeters per min at the…

A:

Q: 6. Use the unit circle to evaluate the following: (a) (c) (e) (g) sin(7) cos (4) sin (¹5) csc (-²)…

A:

Q: Suppose that in a memory experiment the rate of memorizing is given by M' (t) = -0.003t² +0.8t where…

A: Given: M't=-0.003t2+0·8t To find: Total number of word memorised in first 30 minutes.

Q: Write the sum using sigma notation: -1+2+5+ 8 + 11 +...+ 116= Σ Β, where B, n=1 A = B

A:

Q: Let f(x) = 1+x+x² + x³. Then the derivative is Thus, f is monotone on R because O A. f'>0 O B. f' <…

A:

Q: Compute the partial sums S₂, S4, and So. S₂ = 6 + 6 +

A:

Q: ntegral Calculus - Plane Area 1. Find the area in the first quadrant enclosed by y = (x2 + 4)/x2, x…

A: Topic = Area

Q: -he 3 particular Solution to the differential equatio method of of parameters. Your ar bolic…

A:

Q: Let F(x, y) = (x + y, x²), and let 7(t) be the parameterization of the line segment from (0, 4) to…

A:

Q: 1. Convert the following vectors to Cartesian form. a. 13 m on a bearing of 165° b. 120 km/h 20°…

A:

Q: Consider the following. 3(1 + 104x) = 8 (a) Find the exact solution of the exponential equation in…

A:

Q: The volume of a cylinder of height 10 inches and radius 7 inches is given by the formula V = 10mr².…

A:

Q: Write the composite function in the form  f(g(x)).  [Identify the inner function  u = g(x)  and…

A: To find the derivative

Q: Given that f(x) = 2x+cos(x) is one-to-one, use the formula to find (f ¹)'(1). (f ¹)'(1) = 1…

A: Given that :  f(x) =2x + cos(x)  is one to one    To find : (f-1)1 using the formula (f-1)'(x)…

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x a = b =

A:

Q: The radius of a sphere is decreasing at a rate of 2 meters per minute. When the radius is 12 meters,…

A:

Q: 32. √ ₁²+2x-3d²

A: Given integral I=∫xx2+2x-3 dx

Q: WE Σ n=1 4 3" +1

A: Given query is to find series converges or diverges.

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A:

Q: 36. x3 x³ - 11x - 26 x²2x-8 [²0 dx

A:

Q: A piece of cardboard measuring 14 inches by 12 inches is formed into a an open-top box by cuttin…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Solve the logarithmic equation for x, as in Example 7. (Enter your answers as a comma-separated…

A: Note: Since the student has posted multiple questions and does not mention any specific question, so…

Q: Graph the following function and find the area under the curve on the given interval. f(x) =…

A:

Q: Use l'Hopital's rule to find the limit. 7-7cos@ lim 0-0 sin 50 O 07/3 75 8 Previous

A:

Q: Solve the given Homogenous DE 1) y (ax-2y)dx -x (6x-y) dy=0 when x = 1, y=1

A:

Q: Problem 6. that the pattern of the first few terms continues. (a) { 1 1, Find a formula for the…

A: Given Sequence :- (a) 1,13,15,17,19,....... (b) 2,-43,89,-1627,3281,.....

Q: Solve the equation. (Enter your answers as a comma-separated list. Round your answers to three…

A: Given14e-4t = 0.9

Q: 13. If f(x) = 4x²-4 x-1 A. I only x≠1 " C. I and III only 4, x = 1 I. lim f(x) exists x-1 II. fis…

A: We can solve this as follows:

Q: lim x² Inx x⇒0+

A:

Q: fib)-fla b-a sandth. f'(c) in the conclusion of the Mean Value Theo

A: We have to choose the correct option from the given options according to the given information

Q: Convert the angle - 3pi/20 from radians to degrees

A:

Q: x+y+z = -3 : 2x - 2y-z = -7 -3x + y + 5z = 5

A: The given system of linear equations:x+y+z=-32x-2y-z=-7-3x+y+5z=5

Q: = x² + 2y¹ - 8xy. = Let f(x, y) List the critical points: The critical point at the origin is a…

A:

Q: If y = (3x+8)x, compute y'(1). y'(1) = X

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The Product rule:…

Q: An equation for a quartic function with zeros 4, 5, and 6 that passes through the point (7, 18) is…

A: An equation of a quartic function with zeros 4,5,6 and passes through (7,18) is

Q: (b) F(t)=(e²¹)i + (2e²¹ +5)j + (2e²¹ -20)k for 0≤1≤ In 2

A: As we know that: The expression for the length of vector-valued curve in the interval a≤t≤b is:…

Q: Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t…

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the funct 8 + sec(6t) dt…

A:

Q: Question 6 A spherical snowball is melting in such a way that its radius is decreasing at a rate of…

A:

Q: Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t…

A: Given data as: and  Length of time interval∆t=10 sec.

Q: Solve the following first order homogeneous differential equation. Show the outline of the solution…

A: To solve the given homogeneous differential equation

Q: Suppose f''(x) = 42x + 16e-4x, ƒ'(0) - 14, and f(0) = - 9. Then f(x) =

A: See this solution in below.

Q: Let s(t) = = v(t) a(t): = - 9t² +t- 2 be a position function. Find the velocity and acceleration…

A: To determine the velocity and acceleration functions.

Q: A marlin swims at a constant rate. The table shows the proportional relationship between the time in…

A: Find the constant

Q: lim √² 2-√²+1

A: For (m),        limx→∞ x2-2-x2+1=limx→∞ -3x2-2+x2+1=-3·limx→∞ 1x2-2+x2+1=-3·limx→∞ 1limx→∞…

Q: Estimate the area under the graph of f(x) = 2x² + 12x + 22 over the interval [0, 2] using eight…

A:

Q: Express the angle -150° in rad 1. 2. - 6. 5 1|32|2N|LA 6 3. 4. None of these 5. 11 6 k 11 7T kgk k…

A: We have to change in radian form from the given degree