raduation from college, Warren Roberge was able to defer payment on his $22,000 student loan for 6 months. Since the interest will no longer be paid on his behalf, it will be added to the principal until payments begin. If the interest is 3.5 , what will the principal amount be when he must begin repaying his loan? ncipal amount will be $. round until the final answer. Then round to the nearest cent as needed.)

Q: Applying the ratio test to the series ∞ 1 k you would compute ak+1 lim = lim k→∞ ak k→∞ Hence the…

A: After applying ratio test we have to tell about convergence of series.

Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

A:

Q: Differentiate the function. 10u + 100 G(u)=1n₁ 10u - 100

A: We can differentiate the function as below.

Q: Find the exact value of the trigonometric function of using the given format: 5T Let 8 = then is in…

A: I am attaching image so that you understand each and every step.

Q: 6. 15 4 3 5 1 23 24 -3 -6-5-43-2 2 3 4 5 6 -6 Write the domain of the function using interval…

A: Given query is to find the domain of the function.

Q: Find the Maclaurin series and corresponding interval of convergence of the following function. 1…

A:

Q: If U, V,w are three vectors such that each is inclined at an angle of with the other two, and that…

A:

Q: 3) 4) f(x, y) = (xy-1)² 2 f(x, y) = √√x² + y²

A:

Q: d [rı(t)- r₂(t)] = [ dt d [ri(t) x r₂(t)] = dt

A:

Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1+tan ²x) cotx =…

A: The given identity,     1+tan2xcotx=secx cscx

Q: x +4 x² + 2x + 5 dr

A:

Q: Question 10 Complete the description of the piecewise function graphed below. Enter the domains as…

A: To find for which intervals does the given values of f(x) are obtained.

Q: Find the​ consumers' surplus at a price level of p=​$150 for the​ price-demand equation below.…

A: Recall:  Consumer surplus=∫0x(D(x)-p)dx Given, p=​$150 p=​D(x)=300−0.05x

Q: H-w.4 Find the volumes for the following solids whose Weights are defined by Z(x,y) and bases are…

A:

Q: Find the value of the constant C for which the integral 5 1² (√x²³²+ 16- X ³+ 4) ax (v dx converges.…

A: We have to find C .

Q: Use the One-to-One Property to solve the equation for x. - 2x 7 = 4 X =

A: we have to slove the above question and find the value of x

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

A: We have to estimate the error in computing the length of the hypotenuse.

Q: Find lim h(x), if it exists. f(x) = 4x² + 2x + 6 (a) h(x) lim h(x) = (b) h(x) = lim h(x) = (c) h(x):…

A: We have to find the following conditions according to the given information

Q: 8. Use the method of Lagrange multipliers to find the maximum value of the function f(x, y) = xy…

A:

Q: 21 23 (24) EMPR Solve the differential equation by using method of un determined. coefferent;…

A:

Q: a) Start by copying the graph of the inverse tangent curve onto your paper. Then label each plotted…

A:

Q: Given the function f(x) = 3x - 7, evaluate and simplify the expressions below. See special…

A: The function is given by fx = 3x-7 To evaluate: The values of fa, fa+h and fa+h-fah

Q: se the Law of Sines to verify that there is no such triangle that satisfies the given conditions: =…

A:

Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = √2ti + e-√2tj + 2tk,…

A:

Q: Previous Problem Problem List Next Problem Solve the following equation in the interval [0, 2 π].…

A:

Q: Suppose a tank leaks toxic chemicals. The area affected is a circle centered on the tank. When the…

A: A=πr2r0=70 mA0 =4900π  m2r1=220 mA1 =48,400π  m2rate of change in area:=A1-A0t1-t0=48400π-4900π50-0…

Q: Sol:- ➤ For yo y"-2y'+y=e* Homogeneous (e' = 0) op

A: For complementary solution solve homogeneous differential equation.

Q: When an object is removed from a furnace and placed in an environment with a constant temperature of…

A: The given problem is solved below in detail.

Q: [CLO-21 f(x) and g(x) are functions that are continuous on the interval -3 ≤x≤2 and satisfy 1…

A:

Q: e falling parach

A: answer is in next step

Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y) = 2x² − 3y-4…

A:

Q: The graph of y = f(x) has ƒ(5) = − 5, ƒ'(5) = 1, - - and f''(5) = - 1. Which of the following might…

A: Given query is to find the graph of the function.

Q: In the model for exponential growth or decay, the amount, or size, at t = 0 is represented by C・・・…

A: The exponential growth or decay functions are given by;A= A0 ektk<0, decay modelk>0, growth…

Q: Select the answers that best complete the given statement. The product rule for logarithms states…

A: Fill the blanks with the help of log rule

Q: a) lim f(x) 2-0- c) lim f(x) e) lim f(x) 4 3 2 1- 0 + -1- Š 4 b) lim f(x) 2-0+ d) f(0) f) lim f(x)

A: a) limx→0-f(x)=-∞b)  limx→0+f(x)=2c) limx→0f(x)=Does not existd) f(0)=2

Q: 5. What is the derivative of the given function below? * x² + y² = xy dy dy dx dx Option, dy dx = =…

A:

Q: Find the average value of the function F(x,y) = x³ex++ the region 05x≤2 and 0≤ y ≤ x². over

A: Given problem:- Find the average value of the function F(x, y) = x3 exy +(y/x)2 +(y/x)  the region 0…

Q: nd f such that f'(x) = 2x² + 9x-9 and f(0) = 8. x) =

A:

Q: Sketch a graph of f(x) if r-2 if -2 4

A: Given,  f(x)=2x+6if x≤-20if -2<x≤41.5x-6if x>4

Q: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: Evaluate the integral. JS 2x + y dA D where D is the region bounded by y=x, y=0, x=2.

A:

Q: lim 3 24-8 LIMIT VALUE: H 11-2r

A:

Q: The base of a three-dimensional figure is bound by the line y = √x + 2 on the interval [-1, 1].…

A: We have to find the volume of bounded region in the interval [-1,1].

Q: 1) f(x,y)=y-x, (2.1)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate lim X→∞ ९+2 1 - x³ ( if necessary, using L'Hôpital's rule)

A: limx→∞ex21-x3Apply L-Hospital rulelimx→∞2xex2-3x2limx→∞2ex2-3x

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X18 8118 3x² - 1 f(x) = Enter an…

A: The given function is f(x) = 3x2-1-x+3 We have to find the limit   ,    limx→∞f(x)    and…

Q: 1. y = 3x? – 2x4 - 3x3 + − − 2x + 1; y(4) - 8

A:

Q: H-w.4 Find the volumes for the following solids whose heights are defined by E(x,y) and bases are…

A:

Q: The domain (over the real numbers) of the function f(x)=√42-19 is in the form of either (-∞, A] or…

A: Here we have to find the domain of the given function.

Q: 6. Determine the x-value of the absolute minimum of f(x) = -2x4 + 4x³ - 1 on the closed interval…

A: Given:       fx=-2x4+4x3-1     f'x=ddx-2x4+4x3-1    f'x=-8x3+12x2