An analysis of the daily output of a factory assembly line shows that about 50t+t²- 1 tunits are produced after t hours of work, 0≤t≤8. What is the rate of production (in units per hour) when t = 4? 48 34 At t= 4, the rate of production is units per hour.

Q: x + 7x5 +15x4 +32 x³ + 23x² + 25x - 3 (x² + x + 2)² (x² +1) ² 2 dx

A: SOLUTION-

Q: Evaluate • 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octam

A: Given problem:- Evaluate ∫∫∫G 6z2 dv where G bounded by x+2y+4z=8 In the first octant

Q: 8. If the slope of the line (k + 1)x + ky − 3 = 0 is -2, find k.

A:

Q: = If f(x) = f'(x) = ƒ'(5) = 4 tan x, then - sin(x)-4 sec² (x) Cos x

A:

Q: f sec5 2 tdt

A: On solving this we will get

Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

A:

Q: Use the formal definition to find the derivative of g(x)=√6x at x = 3. Find g'(x) for the given…

A:

Q: S 3x+1 -dx x²-x-6 2

A: We know, ∫ dx/x = ln|x|

Q: 19 18. sin x cos x dx 1-3cos 2x dt 1+ e-t

A: The given integrals are;  19) sinxcosx/(1-3cos2x)  18)1/(1+e-t).

Q: 12. Find the area of the triangle bounded by the lines y=x+3, y=2x-1 and y=-3x+4

A: Solution: Given lines, y= x +3.....i y= 2x-1.....ii y= -3x+4.....iii By using intersection points of…

Q: Evaluation. 1. J (sinu + u) du 2. (1-cosv) dv Integrate each of the following. Show complete…

A:

Q: Find the regions where sinx sx.1

A: Topic:- trigonometry

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others parts…

Q: ? Question Calculate * (z3y + 1) y2 dy dr.

A:

Q: 5. √√Z+ 2 1 3z dz

A: ∫ zn dz = zn+1n+1+C

Q: For the function f(x) = 3x² + 2x + 1, evaluate and simplify: f(x+h)-f(x) h Find the value of the…

A:

Q: Find each measurement indicated. Round your answers to the nearest tenth. Use Law of Sine:…

A:

Q: Evaluation. Find the antiderivative of the following exponential expression. Show complete solution.…

A:

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

A:

Q: Define the following sets: A=(1,3,7,9,10) 6-(2.5.7.8.9.10) C = (0,1.3.10) D=(2,4,6,8,10) E=xxis a…

A: Natural numbers do not include negative numbers.

Q: If f(x) = x³ +1.5x² - 90x + 16, find analytically all values of a for which f'(x) = 0. (Enter your…

A: This question can be solved using the concept of differentiation.

Q: 2. Evaluate the following by changing the order of integration: [[eddy. 4e dr dy. 2y

A:

Q: 18.f √25-4x² X -dx

A:

Q: (a) Evaluate the following integrals: y=+2 x=+1 (i) [ (x+y²x² + y)dxdy y=1 x=0 4-2n 0=x/2r=2 (ii) -0…

A:

Q: 28 Suppose cos(x) = and csc(x) < 0. Give all answers as exact values (no decimals 35 a. The terminal…

A: Use Trigonometric identities

Q: solve the following equation using Laplace transformation y' + y = sin(t) y(0) = 1

A: Given :y'+y=sin(t)y(0)=1

Q: 3. Erin, Catherine, and Shannon are dividing a large bag of candy. They randomly split the bag into…

A:

Q: Q.3) 3+4x+20 dx = a) Q.4) f sin5x sin4x dx = tan-(+) 4 a) = (cosx - cos9x 9 cos9x c) (cosx +°%$*) +…

A: ∫1x2+4x+20dx∫sin5xsin4xdx

Q: Given f(x): 5x² 6x +13, find f'(x) using the limit definition of the derivative. f'(x)=

A: Given problem:- Given f(x)= = 5x²-6x+13, find f'(x) using the limit definition of the derivative.

Q: Find the volume of the parallelepiped whose edges a A =î - 13ĵ+ 4k, B = 31+ 2j-7k and Ċ = î -

A:

Q: 2. Evaluate the double integrals by iteration. whre B is the region 0≤x≤ 1, ² ≤ y ≤I JA dA

A:

Q: What is the value of Σ n=1 (A) 15 8 (B) O A B C D E (-3)^²+1 5" 9 8 - ? (C) colc (D) / (E) 15

A:

Q: Solve the system (2+i) z1+iz2 = 1-i 12321-322 = -1-7i

A: Given: Now,            2+iz1+iz2=1-ii23z1-3z2=-1-7iSubstitute…

Q: ove that the limit as (x,y) →(0,0) of f(x,y)=(x²-y2)/(x²+y²) does not

A: Topic:- calculus

Q: Differential Equation d²y dx² 1) d³ y dy dx3 dx 2) (D³ + 3D² 4D - 12) y 3) 2D4 +11D³ + 18D² + 4D 8 =…

A:

Q: 3) The correct solution of the center of mass bounded by x=y² and x= 2y = y² if the density is 6 = y…

A:

Q: Calculate the value of the following limits algebraically, (if they 2x-1 a) lim x+1 X² 2x²-9x-5 b)…

A: Topic:- application of calculus

Q: T Express the surface area of the surface obtained by rotating the graph of y = 4 sin (x) for 0 ≤ x…

A: Recall: Surface area SA=∫ab2πy1+dydx2dx We have, y=4sin(x), a=0, b=π6

Q: II ex elx е ех его

A: Given

Q: A 200-g sample of a radioctive substance is placed in a chamber to be tested. After 3 h, 140 g of…

A:

Q: #+2 Q.23) cos²3x dx = 24 a)- #+24 KT -24

A:

Q: 9. If the slope of the line determined by the points (x,5) and (1,8) is -3, find x.

A: Given that the slope of the line determined by the points (×,5) and (1,8) is -3. We have to find the…

Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

A: To find the value of f(1) in the given integral.

Q: Find the values of xER for which the function given below is both defined and continuous. f(x) =…

A:

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

A:

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 64 + e* dx

A:

Q: Q2/ Use the method of bisection to find the roots of the equation x3x² - 4x + 1 = 0 Correct to 3…

A:

Q: 6. Determine the relative extrema and the intervals on which f is increasing/decreasing. Show your…

A: Let's solve.

Q: C. Evaluate the following: i(z³+1³) 1. lim 24-1 2²+1

A: