2. How much money is needed to establish a fund that pays a research scholarship of $10,000 each half year, if the fund can be invested at j2=10%, and if the first scholarship will be provided (a) a half-year from now? (b) immediately? (c) Four years from now?

Q: ve passes through the point (0, 9) and has the property that the slope of the curve at every point P…

A: Topic:- application of integration

Q: 12. What is the minimum value of the parabola ? 5 0 LO a) x = 3.9 b) y = 3 c) x = 2 d) There is no…

A: We have to find out the minimum value

Q: sec x In the figure to the right, the equation of the solid curve is y= 2 dashed curve is y=2 cos2x.…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 5-4-3 2-1 10 9 8 7 6 5 1 y 4 32 3+ 2+ 1 2 234 3 4 5 -6 1 2 3 4 5 X

A: Please see the below picture for detailed solution.

Q: Find the slope of the tangent line to the curve − 3x² – 1xy – 3y³ = at the point (-2, − 1). 11

A:

Q: Find y′ if y = tanh−1(sinh x2).

A:

Q: dy Solve the separable differential equation = dx - 7y, and find the particular solution satisfying…

A:

Q: -5 -4 -3 -2 -1 E у 6 5 4 3 2 I 1 H - -21 3 -4 -5 -6 1 2 3 4 5 X

A:

Q: U V U a) f(x) = sin x The trigonometric function pictured here is b) f(x) = csc x O c) f(x) = sec x…

A: we need to find which trigonometry function has the following graph

Q: 5) Evaluate the ff (3x - 2y)DA. R is the region enclosed by the circle x² + y² = 1.

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: What is the slope of the the tangent line to y=1/x^5+−1/x^3 at x=1?

A: Given y=1x5+-1x3 and x=1

Q: Evaluate the following integral using integration by parts. Sxe ³x d dx Use the integration by parts…

A: We have given to find integral  ∫xe3x dx Let,  I=∫x e3x dx Using integration by parts ∫u dv=uv-∫v du…

Q: 4 sin(x - 2) x→2 3 ln (3x – 5) Evaluate lim and write your answer in simplest form.

A: We can find the limit in the following steps.

Q: The graph of f(x) is shown (see figure). -7 (a) Find the following limits. L = lim f(x) = 2 Klim…

A: Concept: Limit of the function: Assume the function f(x). x should have values that are close to the…

Q: = { x + 15 X C(x) = if x < 100 if x ≥ 100

A: Topic:- function

Q: onvert the following to rectangular coordinates and spherical coordinates. Do not evalua tegral.…

A:

Q: Determine the exact solutions to cos: O ○ 0=160=² ○ 0-5,0- 7x 0= 6 6 O O 0 7x 6 5x 6 R 0= =,0= 6 11x…

A: We can answer the question in the following steps.

Q: Evaluate the integral: J22 SVA-2 01- [] π [] +C dydz 4-2² e² +²

A: double integration using polar form

Q: Evaluate I se sech¹0d0. 4

A: We have to find out integral

Q: -4 -3 -2 -1 у 1 -1 -2 1 2 3 X

A: We can find the answer in the following steps.

Q: Find the differential dy of the given function. (Use "dx" for dx.) 4 dy = y = 4√x + Submit Answer

A: To find differential dy for the given function.

Q: I need a step-by-step solution, please 2 bn=² ST T S™ sin x sin nx dx

A: To find out the integration given.

Q: X 10. [7x+3x+1 dx 2x ux 11. Jhxdx 12. f(x²-4)³ dx 2x

A:

Q: If what does the following integral equal? - 11 [¯¯1² [8f(x) + 2g(x) — h(x)]dæ = - 68 - 11 [= f(x)…

A:

Q: Find each limit, if it exists. 4- 8x 4x³-5 lim II

A:

Q: annat pe 4 panda 40 god = mode O xp (9 − xx + ₂x) J rester auf dienser og ressatur aut to conflittop…

A: ∫24x2+3x-6dx=∫24x2dx+3∫24xdx-6∫24dx

Q: The area of the région bounded by the curves f(x) = x² + 1 and g(x) = 2x + 1 is best described by:…

A:

Q: 6. Find the functions whose equations in factored form have a factor that is cubed. These functions…

A: see below the answer and explanation

Q: Find f(x) if y = f(x) satisfies dy dx 80yx⁹ and the y-intercept of the curve y = f(x) is 6. f(x) =

A:

Q: 1. S(√t -√√² + √√³) dt

A: solution ) ∫ ( t - t2 3 +t35 ) dt = ∫ ( t1/2 - t2/3 + t3/5 ) dt  we know that  ∫xn = xn+1/n+1  = (…

Q: The following table shows the rate of water flow (in L/min) through a dam. 1 5 9 13 17 21 25 t (min)…

A:

Q: Write the expression in power form ax for numbers a and b. 3 8 8x²

A:

Q: Find all local extreme values of f(x) = - The FIRST local extreme value, moving from left to right…

A: Topic:- application of derivatives

Q: Write the interval in set notation. [2, 6) {x | 2 < x ≤ 6} {x | 2 ≤ x < 6}   {x | 2 ≤ x ≤ 6} {x | 2…

A: Write the interval in set notation. [2, 6) {x | 2 &lt; x ≤ 6} {x | 2 ≤ x &lt; 6}   {x | 2 ≤ x ≤ 6}…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: 3 14 f(x) dx where a = 5 - ["² f(x) dx = [ f(x) dx 3 a and b =

A:

Q: 5.5 dy √y.evy 6. Š dx X+ e 7. fete d dx 8. fdx

A: Here we have to find the integral.

Q: Determine the type of function shown in the graph below. a) Polynomial function b) Rational function

A: As per the graphical knowledge we have following conclusions.

Q: When the moon is exactly half full, the earth, moon, and sun form a right angle (see the figure). At…

A:

Q: Use interval notation to determine where f(x)>6. 2. Use interval notation to determine where f(x)

A:

Q: (iii) Find the total area of the following shape PQRS. (You may need a calculator) 7cm 12pt…

A:

Q: Find the exact length of the curve. r(t) = (51, 3cos (1), 3sin (1)), -4≤1≤4 OA. 16√3 OB. 0 OC. 8/26…

A:

Q: A company that produces cell phones has a cost function of C-52²-1852 +17363, where is the cost in…

A:

Q: What is the integrating factor of the differential equation (5xy + 4y² + 1) dx + (x² + 2xy) dy = 0?…

A:

Q: 13. Find the intersection of [x, y, z]-[-8,-3,-5]+[1,2,-1] and [x, y, z]-[1.9.4]+s[2,1.7].

A: #13

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: answer is in next step. please give a like!!

Q: State the domain and range: -15. -10 -5 -10- LO 5 0 -5- 5

A:

Q: Find the arc length of the graph of the function f(x) = ln(cos(x)) ㅠ π [153, 5 Use the tables to…

A: Arc length of y=f(x) on a, b is  L=∫ab1+f'x2dx We have f(x)=lncosx given interval π9,π5

Q: = 4) Use the recursion formula Stan" xdx to calculate Stan³xdx tan" X n-1 n-1 -ftan”-2 xdx

A:

Q: Find the area of the region bounded by the graphs of the equations. y = 7x² + 3, x=0, x=2, y = 0

A: