et sin x | lim x → 0 18 cos x 18 (Use calculator and write your final answer in the given box)

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: we should find the height of the rectangle such that the window will admit the most light.

Q: D. (2x + 3) y =y+ y° (2x + 3) 2

A:

Q: 23. Find the point c that satisfies the mean value theorem for integrals on the interval [1,4] for f...

A: The given function is: f(X)=2x2-7x, [1,4]

Q: 13. Find the solution set of |6x – 13x – 5|| 2x b) 14x – 1| 2 12x + 3| + 1 c) |2x? – 3x – 4|< 5

A: In this question we will use formula |A|= x.  A= -x  Or A= x        

Q: Question 3: Suppose that H = xy + V3x2 + 4y?, and at t = 0 (initiation) we have r = 1, y = 1, H = 6,...

A: Let's find. 

Q: sec e cos e O cos?9 cos²0 01 O sec?0 ||

A:

Q: B. Odr + (2r +1- Or) d0 = 0

A: θdr+(2r+1-θr)dθ=0drdθ=θr-2r-1θdrdθ=r-2rθ-1θdrdθ=r(1-2θ)-1θdrdθ-r(1-2θ)=-1θdrdθ+(2θ-1)r=-1θ It is a l...

Q: Question Select your answer. A certain radioactive element decays according to the ()' 39.60 formula...

A: Given  :initial No=5000 gramsR(t)=No12t25limt→175R(t)

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

A:

Q: 1. (2x³y² + 4x?y + 2xy² + xy+ + 2y)dx + 2(y³ + x?y + x)dy = 0 %3D

A: note : as per our company guidelines we are supposed to answer only one question. Kindly post other ...

Q: Given: sing e is a third quadrant angle, and tand -ả, dis a second-quadrant angle; find tan(+b) -1/3...

A: Trigonometry

Q: The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be ...

A: Let's find. 

Q: following

A:

Q: Evaluat..f.x.dA. wha.is.the..sgiem.in.the.fiigt. R quandrant..bounded..xy=16. X..8....y.z.. y.e.x...

A:

Q: 19. Differentiate the following functions. a) y = (3t2 + 2)(3t² – 2t + 1) 12-4t+4 t2-5t+6 b) s=

A:

Q: Integral of | 4sinxcos cos |dx 1. J sin 9x cos4x dx J cos 2x cos (-x)dx 2. 3.

A:

Q: Find the following limits i 1. 8x lim x>+* 5x – 7

A:

Q: 2 cos(3x) – 3 x2 – 2 sin(9x) – x2 – 9x - lim - (Use calculator and write your final answer in the gi...

A:

Q: A trough is 12 feet long and 3 feet across the top. Its ends are isosceles triangles with altitudes ...

A:

Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

A:

Q: Assume that f(x) = x. Evaluate a. lim f(r). f. lim (f(r)) – f(x)). b. lim エ→4 () g. lim (f(r)* +(f(r...

A:

Q: 4. Vic and Joey argue about the limit of the function f(x)=1/x as x approaches 0. Joey's opinion is ...

A: Claim of Vic is correct, because as per the definition of limit  By evaluating the left hand limit w...

Q: Pivot once as indicated in the given simplex x, tableau. Read the solution from the result. X2 51 3 ...

A: Given : The simpex tableauTo find: The solution from the resultx1=  , x2=   , x3=   , s1=   , s2=   ...

Q: 3. TVI+ 1 dx (use trigonometric substitution

A:

Q: A house sells for $81528 at the end of 2010 and for $161637 at the end of 2017.   If the market val...

A:

Q: Use a finite sum to estimate the average value of f(x)=x° on [0,2] by partitioning the interval into...

A: Let's find. 

Q: 3 lim f(r) エーC lim g(r) 12, and lim h(r) = -3. エーHe エー Compute the following limits: a. lim(-4 f(r))...

A:

Q: Find the first and second derivatives of the function. f(x) = (x2 + 6)5 f'(x) %3D f"(x)

A:

Q: 2. Write an expression for the nth term of the sequence а) 2, 8, 14, 20 ... 1 1 1 b) 1, 4 ' 9 16

A:

Q: Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + at

A: Given:To Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + atSince  we know that, number of independen...

Q: Exercise: Do as indicated if x 4. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞, 0)? 3 – ...

A:

Q: 25. Evaluate the following definite integrals. c) LIVII – x dx

A:

Q: Sketch the region enclosed by the given curves. y = tan(9x), y = 2 sin(9x), - π/27<x< π/27 y y 3 3- ...

A: Here, to sketch the region bounded by the curves y=tan (9x) &amp; y=2sin(9x), -π27≤x≤π27

Q: (2æ + 3) = y+ y (2x + 3)i

A:

Q: Glven the functions below, find dy/dx using CHAIN RULE. 2 y = 4t +1 ; ; x t = 3w + 4 5w - 2 Using th...

A:

Q: Consider the given function and the given interval. f(x) = (x - 7)2, [6, 9] (a) Find the average val...

A:

Q: 3 tan x cos x cot x = _______

A:

Q: 3. Given r(t) et sin t i + e' cos tj + v2e'k, a) find the arc length function for the curve measured...

A:

Q: Find all second order partial derivatives for the following functions: a) z = xe-2y +x In(y) + y ln(...

A: Partial derivative  In partial differentiation take only one variable and treat other as constant .

Q: 7. Given the space curve er(t) = (4 sin t ,4 cos t , 10t), Find T, N, B, and t (torsion)

A:

Q: A circular swimming pool has a diameter of 16 ft, the sides are 5 ft high, and the depth of the wate...

A:

Q: A discrete random variable X has the following probability distribution: 3 4. 1 2 P(X) y 9 1. Find y...

A:

Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

A:

Q: 7) Find dy/dx. Given: (2x + y)' - %3D 8.) Find dy Given: xy =1 xp %3D

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: O Find the linearization Lcx) for fex) 3x -8x+7 when a=

A: We will find the linearization L(x) for the given f(x)=3x2-8x+7 when a=-2 in the following step.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A:

Q: Find the derivative of the function y = 1ln(cos 2x)+4tan? (3x) Write the value of y (0) in the box b...

A:

Q: In February, Apple stock rose from $120.69 to $164.85, while Tesla stock increased from $675.50 a sh...

A: Given:- In February, Apple stock rose from $120.69 to $164.85 Tesla stock increased from $675.50 to ...

Q: Write the first five terms of the sequence: 13 ln n n n=1 Determine whether the sequence converges, ...

A: Given