9. For what value of k, k> 0, does (4kx-5k) dx = k² O 1 O 2 3 O 4

Q: COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

A:

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) - 4g(x)] = -34. 2-b x-b x-b

A:

Q: 1. Let f{x«y} = v/r? + y? oa a) Find Ꭷf of Để ông Ꭷf of of Ꭷf Ꭷx2 0x0y` Ꭷyòx' dy2 b) Find 2. Find an…

A: We are allow to solve one question at a time . If you need rest of answers please upload it…

Q: QA-evaluate the flux of the filed F-xi+yj+zk through the upper part of the cylinder x² + z² = 1 that…

A: Given

Q: A balloon is released fromthe ground 100 meters from an observer.The balloon rises directly upward…

A:

Q: Question 11 If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant,…

A: Topic:- application of integration

Q: dx Evaluate: s (x+1) log(x+1) A --In 10 log² (x+1)+C 2 B In10 In[log(x+1)] + C с = -log² (x + 1) + C…

A:

Q: --—-^[e'-In(2t+1)]dt, find g''(x) . dx -2 If g (x) = (A) (В Ce*- D 4 (2x + 1)² e* - In (2x + 1) 2…

A: We have to solve integral

Q: Given A B D [ f(x) dx = 0 and -1 7 55 11 5 1 √ ² f(x) dx = 11 evaluate 0 √²3f(x) dx - dx-₁2f(x) dx.…

A: Solved below.

Q: x + 2 Determine the case of the following proper rational function after simplification: (x² – 4)(x³…

A: Ans: C

Q: 4. f(x) = √3x5 - 2x + 7x²= 18x-25

A:

Q: Evaluate the definite integral by substitution: 21 1 dx 3/(1+3r)² (1) ² 3/1 + 13xdx 10 (3) [TV. (3)…

A:

Q: 2 Let f(x)=√√3x-2 on the interval y-axis and find the volume of the resulting solid. 43x A -unit3…

A: Let's find volume of solid given curve.

Q: Question 26 Determine the integral: x²cosxdx A x²sinx-2xcosx +2sinx + C B x²sinx + 2xcosx-2sinx + C…

A:

Q: R is the region bounded by the functions f(x) = 1 - 3 cos (x) and g(x) = 4 sin (x). Find the area of…

A: Ans : A=12 unit2

Q: Evaluate the triple integral: (x+y+z)dydxdz A) 18 B) 24

A: ∫03∫02∫01(x+y+z)dydxdz=∫01(x+y+z)dy=xy+y22+zyUpon substituting=x+0.5+z-0=x+0.5+z

Q: Water stored in an inverted right circular cone leaks out at a constant rate of 2 ft3 per day. The…

A:

Q: (1) / 25 5 + 7x dx √x T/3 1+(cos0)² de (cos 0)² √3/³ 1 + (3) √x-4\dx

A:

Q: Solve the integral: A B C D 6√√x +C 3√x² + C 6 33³√/ x² +C √√√x 37 ကြ 3√x dx

A:

Q: Determine the area of the region bounded by 3x - 5y + 4 = 0 and y-axis from y = 2 to y = 5.

A:

Q: |x-3. Find flexo :)? f(x) = \ / . \

A:

Q: 11 Given ~ [²₁_f(x) dx = 0 and [ ² f(x) dx = 1 1 1 4 11 A 6 B C 0 55 0 evaluate • [²³f(x) dx - ²₁²…

A:

Q: √ √9-x S*/2 (B 9 ft/cos Ⓒ 18 "/2 D 95*1/2 sin Evaluating A 18 9-x² dx using trigonometric…

A:

Q: (1) y=x, y=2-\x/ (2) y=1/x², y = 8x, y = x/8

A:

Q: Fin the AREA enclosed by the given curve: r=acos(3θ)

A:

Q: 10–f()=e" .sinh |2t. e-³¹ sin 2t -31 12- f(t) = t 14-f(t)=t² cos Zt. 16-f(t)=t² sin wt. = {0…

A:

Q: A company has two packaging machines in a unit, each with a different daily capacity. The capacity…

A: A company has two packaging machines in a unit, each with a different daily capacity. The capacity…

Q: Solve

A: We have to calculate the given indefinite integral

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A: fix cost $200 20 item cost $400 here per item cost = 400/20 = $20 cost function  C(x) = 200 + 20x…

Q: Determine the area bounded by the functions f(x) = (x+1)³ and g(x)=x+1, 3 (A) Žunit² 1 -unit² -unit²…

A: We need to find area.

Q: Where is f(a) not continuous? JAROMEN M 0 :-2 SE 4 O 0 02 O nowhere O-2 and 2 O-2 0 2

A: here in graph we see that function is not contineous at 2 and -2 value there is not contineous graph…

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship…

A:

Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 7x and dx…

A:

Q: Question Find the average value of f(x) = -3 cot (x) csc (x) + 1 over the interval [3 Submit an…

A:

Q: Evaluate the improper integral 3 A 4 B O diverges N|9 름 12²233/30 dx

A:

Q: The position of a particle on the x-axis is given by r(t) = t²-4t+3. At what time is the particle's…

A:

Q: Determine the area bounded by f(x)=x²-x and x-axis. 2 A unit² ® —— unit ² 1 -unit² Ⓒ 1 -unit²

A:

Q: Let f(x)=√3x-2 on the interval volume of the resulting solid. W|N - Revolve the region between the…

A:

Q: 2 Let f(x)=√√3x-2 on the interval 1. Revolve the region between the curve, y=1 and y-axis about the…

A: To solve this problem we use cylindrical shell.. method.

Q: We can apply General Power Formula of Integration on which of the following integrals? Aeschuco…

A: To find the solution for integral

Q: 腰 √√/XX S₁ Solve the integral: A 3√√√x² + C √√x² (B) + C 6 Ⓒ6√√x +C dx

A: ∫x3x2dxRewrite:=∫1x56dx

Q: Evaluate the line integral, where C is the given curve. Lexy² ds, C is the right half of the circle…

A: Solution: I=∫cxy4ds

Q: After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the…

A: answer is in next step

Q: dx Evaluate: (x+1) log(x+1) 1 A In10 log² (x+1)+C 2 B -log² (x + 1) + C 2 In 10 In[log(x+1)] + C…

A: We have to integrate of given function

Q: 15+0. The improper integral e* dx is

A:

Q: Question R is the region bounded by the functions f(x) = 2e - 2 and g(x)=x²-5. Find the area of the…

A: We have to find out area

Q: What is the slope of the line passing through the points M (m,O) and N (n.0) with m #n? O 1 Oo m-n…

A: slope=? M(m,0) and N(n,0) M(x1,y1) and N(x2,y2)

Q: Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = = x² - x + 1 on…

A:

Q: - EXAMPLE 3 Find the particular solution of 3xy' y = lnx + 1, satisfying y(1) = -2. x > 0,

A: It is a first order differential equation.

Q: 3. (D2 + 2D + 1)y = 0; when x = 0, y = 1, Dy = - 1.

A: