Find the present value of $6000 payable at the end of 4 years, if money may be invested at 9% with interest compounded continuously. The present value of $6000 is $ (Round to the nearest cent as needed.) C

Q: X ln 3 In³ x In² x − 4 2 dx

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it (to at…

A: we say an integral is convergent if it has a finite value.

Q: x6n +5 n=0 (6n+5)! Find the interval of convergence of the power series convergence at the endpoints…

A:

Q: Say that (a) [ f(x) dx = a³. Evaluate the following integrals. f f(x) dx = -72 6π/4 (b) [07/*…

A:

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x² + y² + x²y + 8, {(x, y)…

A: The given function is

Q: Engineers are designing a box-shaped aquarium with a square bottom and a open top. The aquarium must…

A: Engineers are designing a box-shaped aquarium with a square bottom and a open top.The aquarium must…

Q: Determine whether the following limits exist, evaluate them if they do:

A: To evaluate the following limit.Note: Since you have posted multiple questions and they are not…

Q: 17. Find y = dy · if y = (In x)". (Hint: Use logarithmic differentiation.) dx

A: We do only frst part of multiple questions.(17) Given,

Q: Find f'(t) if f(t) = 9t3³ +t+2. f'(t) =

A: Power rule of derivative:

Q: In section 5.8, we saw that f1 du = tan ¹(u) + C. Use algebra, a u-substitution, then this formula…

A: we need to find out the integration.

Q: The position of a particle is give by s=f(t)=6t^3+4t+9 Find the velocity and the acceleration

A:

Q: Let f(x)=2x+9-19e^x. Find the equation of the tangent line to the graph of f(x) at the point (0,-10)

A: f(x)=2x+9−19ex at the point (0,−10)Using the power Ruleddxxn=nxn−1

Q: y-values 9* 8 7 6- 5 4 6 3 2 1 If f(x) = = f'(3) = 1 g(x) h(x)' g(x) 2 3 x-values then 4 5 y-values…

A: Given that

Q: The exponential model A = 407.4e0.032t describes the population, A, of a country in millions, t…

A: The objective of the question is to find the population of the country in the year 2003 using the…

Q: I d the equation of the tangent line to f(x) = 4e* cos² (x) at x = 4 e symbolic notation and…

A:

Q: Oppgave 3 Bestem om rekken konvergerer absolutt, betinget eller divergerer: Σ(-1)”; n n² + 2n n=1

A: To determine whether the series converges absolutely, conditionally or diverges.

Q: Let f(x) = -4x5√x + f'(x) = -22x 72 9 - 35 22x 5 x³√x 9 X

A: solution given below

Q: Find the relative extrema of the functions (f) given by f(x) = 2x³ = x². f(x) = (x - 2)2/3 + 1.

A:

Q: 2. A company manufactures a series of 20-in. LCD televisions. The quantity of these sets demanded…

A:

Q: Consider the rectangular corral with two shownthe fencing for the boundary of the costs $10 per and…

A:

Q: n+1 Σ()" n=0 (x + 2)"

A: We have to determine the interval of convergence for the power series

Q: For this exercise, refer to the cost and revenue functions to the right. The cost of producing x…

A: Consider the given figure below:

Q: Let f(x,y,z)=x²√²+z² Compute f(5,-3,2) and f(4,8,-6). f(5,-3,2)= (Type an exact answer, using…

A:

Q: Let f(x) = x². There are two lines with positive slope that are tangent to the parabola and that…

A:

Q: Jessica and Matthew are running toward the point P along the straight paths that make a fixed angle…

A: Law of cosine: If a,b and c  are three sides of a triangle and  be the angle between the sides a and…

Q: Write the complex number w = 2 - 2i in polar form, mark the number in the complex plane and…

A: The given complex number is The polar form of complex number

Q: Problem #3: Find the maximum of f(x, y) 14 In(15x10,10) y > 0. +4 subject to x² + y² = 4, x > 0,

A:

Q: The exponential model A = 353.8e0.01 describes the population, A, of a country in millions, t years…

A: The population of the country will be 415 million in 2019 (Rounded to nearest year) See the…

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t³…

A:

Q: Find the equation of the plane which passes through O and is parallel y+z= x+ (3x + y) = 6

A: Given:plane To find:Equation of plane that passes through O and is parallel to the given plane.If…

Q: Use the graph to evaluate the limit. lim f(x) x-0 12- 10- 8 Q Q G OA. 0 OB. does not exist OC. -1…

A:

Q: In Exploration 4.3.4, Question 10 requires factoring 2л out of (2x+π/6) determine the horizontal…

A:

Q: Find a geometric power series for the function Select one: है n=0 6" + 1 a. O b. OC. Z Ž x" n=0 6²+1…

A: The given function is . The geometric power series of the above function is required.

Q: Consider the concentration, C, in mg per liter (L), of a drug in the blood as a function of x, the…

A: Given that the concentration, C, in mg per liter (L), of a drug in the blood as a function of x, the…

Q: Let f(x) = x+0. Complete the equation below for the line L tangent to the graph of fat x = -6. x-1…

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: 1) show that the equation x² - 4x + y² +12y=9² representS a circle, and find its center (a, b) and…

A: The given equation .The objective is (a) to show that the equation represents a circle and find its…

Q: DLC www.sumwestDLO 13. The graph of y=f(x) is given below: a) describe in words, the transformation…

A:

Q: c/ what portion of the circumference of the circle is the arc length depicted? this circle has…

A: Given:radius of circle = 5 in.arc length = 20 in.To find:portion of the circumference of the circle…

Q: Find the volumes of the solids z=1-r z=-sqrt(1-r^2)

A: The objective of the question is to find the volumes of the solids defined by the equations z = 1 -…

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A:

Q: Find the average velocity of the function over the given interval. y = 3x³ +3x²+6. [-3,2] OA. 21 О…

A: Given function

Q: Find the intercepts and range of the function f(x) = 4x2. 4. Instructions: Type the x-intercept with…

A:

Q: Consider the following sequence where f(1)=23​. 23,32,41,50,59,…​a) What is the common difference,…

A: The given sequence

Q: Use the graph of f to evaluate the following: 6 5 4 3 2 7 f(x) 1 2 3 X 5 6 The average rate of…

A:

Q: If the total revenue function for a computer is R(x) = 1600x26x²x³, find the level of sales, x, that…

A: given total revenue function

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for the below…

A: Since there is a difference between (A) , (B) parts time period so solved for the time with the…

Q: If r(t) = 0, show that r(t) = rr(t) · r'(t). (Hint: |r(t)|² = r(t) · r(t).)

A:

Q: Find the equation of the line tangent to the graph of f(x) = (In x)4 at x = 2. y = (Type your answer…

A:

Q: Find r(t) if r'(t) = t³ i + et j + 3te³t k and r(0) = i + j + k. r(t) = Need Help? Read It

A: