M S√2x = 1dx

Q: Find the angle between the vectors (6, 30√3) and (30√√3, 12). (Express numbers in exact form. Use…

A: let a→=6,303 and  b→=303,12

Q: Find the Laplace transform of the following: (b)sin 2t + Ans: (b) 2 3 cos 3t 2 2 13+4+3² +9 2

A: I am attaching image so that you understand each and every step.

Q: Evaluate f cos³ x(sin x) dx O (sin x) [-sin² x] + C O (sin x)[-sin x] + C O(sin x)2/5 + sin x + C…

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Q: To create an object to display at the Art Museum of Boston, Colleen creates a solid of revolution by…

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Q: Derive the following functions 2-3x 5 50. y=- 6 3+x 52. y=: 54. y=- Sx²

A: 50. y=2-3x5

Q: Is there a value of n that will make the following function continuous at x = 0? Give reasons for…

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Q: The graphs of 2 = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

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Q: (b) Express sin(cos x) in terms of x only.

A:

Q: 5. [3] Determine the value of k when x³ + kx² + 2x -3 is divided by (x-1) and the remainder is 2.

A: Solve division method

Q: What is the probability that an officer was promoted or a woman?

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Q: 0 = 0 zu - dx² ᎾzᏢ

A:

Q: Find the normal and osculating planes of the given function at the point r (t) = (4t 1, t² +t,…

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Q: (2xy-3x²) dx + (x² + 2y) dy = 0 2

A: Given differential equation:- 2xy-3x2dx+x2+2ydy=0

Q: f you know that lim f(x) exists at an interior point of a domain interval of f, can you find its…

A: Limit of a function.

Q: x Carry out the following calculations following the rules for significant figures. a) 380.47…

A: see below the answer and calculation

Q: Evaluate the following integrals a) S √1+x-√1-² dx (Hint: Maybe you need to rationalize the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: tal derivatives of the following function dz: z = 4x² - 3xy + 2y², where x = (CW P.193, Exercise…

A:

Q: Select the following equations that are true. 01² +2² +3² +4² +...+100² = 5050² 1 1 0 1 1 + 101 1 0…

A: Given 1.  12+22+32+42+⋯+1002=50502 2.  111011101+123456-4-5-6=234467-3-5-5 3.…

Q: Evaluate the indefinite integral: dx S x In 7x +C

A: Let ln7x = t

Q: 618 x 99 6182

A: using simple multiplication

Q: Find the average rate of change of the function over the given interval. R(0) = √30 + 1; [1,5]

A:

Q: Question 7 In the Four-Step Rule, which among the steps is the most important, upon which the…

A: A differential equation is an equation that involves a function and it's derivatives.

Q: HISU UNICAR HUN OMAGGIOI TU LARVEST, 3. Elphaba the squirrel, the notorious criminal, is planning a…

A:

Q: The weekly demand for Xbox Math-Hero video games is given by p= x³ 180x + 1250 where x is the number…

A:

Q: 1. y=√√3x²-5x+

A: Given: y=3x2-5x+1

Q: x² - 3x Find lim x→3 x2 - 9 2

A: to find out the limit.

Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: Substitution and calculation is the key for such problems.

Q: Find the following derivatives. Express your answer in terms of the independent var 3x-3z 2y +3z Ws…

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Q: Solutions

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Q: 3x2 + Sv 을 가

A: Given Expression:- 3x-12+4x12+x32

Q: f(x) is graphed below. Find each value. 10+ 9 8 7- 10-9-8-7-6-5-4 f(x) = lim 2115 lim f(x) = lim…

A:

Q: For the constant numbers a and b, use the substitution a = a cos² u + b sin² u, for 0 <u<, to show…

A: Given data:- x=acos2u+bsin2u ∫dxx-ab-x=2arctanx-ab-x+c

Q: Given the function f(x) = 2x¹ - x³ - 4x² + 7x-5 find f""(3)

A: Given function is fx=2x4-13x3-4x2+7x-5 We have to find f'''3

Q: Write the linear equation for f(x), given f(1)=0 and the slope m=-2/3 A. f(x) = x 3 B. f(x) = −…

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Q: K Graph the function. Then answer these questions. a) What are the domain and range of f? b) At what…

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Q: 2. Suppose that 2= f(x,x) with x = ln (26-t²) y= 2 s²+²+t. Use multivariable chain rule to compute…

A: Let fx, y=4xy2+4y+exySuppose that z=fx, y with x=ln2s-t2 and y=2s2t2+t. To use multivariable chain…

Q: 9. A company's cost function is C (x) a) Find the average cost function AC(x). 5x + 100 dollars,…

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Q: 1. Evaluate lim h→0 if f(a+h)-f(a) h ƒ(a) = a² − 4a +6 O4a-2 O2(a+2) O None of the Choices O2(2a-1)…

A: Given function:- fa=a2-4a+6

Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B)SOLUTION C) ANSWER D) WITH EXPLANATION I…

A:

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by…

A: Given that the distance s (in feet) covered by a car t seconds after startingis given by the…

Q: D Question 8 In the Four-Step Rule, why is the cancellation of the Ax terms allowed even if Ax→ 0 is…

A: Solution

Q: TT Evaluate the integral: (2costi+ sint j + 2tk)dt

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Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: Let Persent number of bacteria =x Rate of grown number of bacteria=dxdt

Q: Determining the Maximum and Minimum Values of Quadratic Functions A rocket is launched in the air.…

A: This question can be solved using the concept of maxima and minima

Q: Evaluate the integral dx ✔ -x+8x-12 0 dx 2 -x+8x-12 &

A:

Q: Find a and b so that the function is both continuous and differentiable. f(x) = 7x³5x²+4, x < -2, x…

A: To find a, b

Q: 12. If $5000 is deposited in a bank paying r% interest (r = interest rate), the amount 3 years later…

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Q: C(x) = 6x³ 30x² + 80x + 1600 where x denotes the number of thousands of televisions produced in a…

A: Given query is to find average cost and marginal average cost.

Q: 0.016t The population of a town is increasing at a rate given by P'(t) = 34 e where P is the…

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Q: Find the derivative of y with respect to t. y=cos¯¹ (√2t) dt (Simplify your answer. Type an exact…

A: