Find the exact length of the curve. y2 = 64(x + 1)3,   0 ≤ x ≤ 1,  y > 0

Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

Q: .3

A: Given: v={ √2,3√2}

Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

A:

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A: No, i am not agree. If function is differentiable then it continuous , but not vice versa. For…

Q: 37. v = (60, 11}

A: Unit vector n→ in the direction of a vector v→ is given by, n→=v→v→, where v→ is the length of the…

Q: Gasoline is pouring into a vertical cylindrical tank of radius 5 feet. When the depth of the…

A: Volume of cylinder(V)=πr2hSubstitute r=5V=π52hV=25πhDifferentiate w.r.t 't'

Q: Let й -, й- where A and Bare some constants. Given that ü+ 50 = find the value of the product A.B.…

A: A. B=48

Q: 3. An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a…

A:

Q: 6. During the worst 4-hr period of a hurricane the wind velocity in miles per hour is given by v =…

A: The average value of the function is given by;0≤t≤4v(t)=1b-a ∫abv(t) dt     =14 ∫04(5t-t2+100) dt

Q: Select all of the following graphs which represent y as a function of z, 24 REEF

A: Graphs are given, we have to find a graph that represents y as a function of x.

Q: Find a unit vector in the direction of the given vector

A: Given:        v=-9,-12 Unit vector formula is the vector divided by its magnitude.  The formula for…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) : (t…

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

Q: evaluate the following integrals:

A:

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

A:

Q: 4. The function A(t) = 2000(1.)' represents the growth of algae in a pound after time t (in hours).…

A:

Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

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Q: Find dy/dx: 1. y= "(*++ dx 3 y = ," (x* + )

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Q: The MAIN use of Newton's Method is to: OFind the roots/zeros of a function O Find the derivative of…

A:

Q: Consider the following rectangular box. F a) Give a pair of equal vectors. b) Give a pair of…

A:

Q: -3x+1) -3х 2-3* dx

A: According to our company policy we are supposed to answer only first question and rest can be…

Q: Find the derivative of the function. f(x) = ex2 + 2 %3D f'(x)

A:

Q: Is partial fraction decomposition always possible? If YES, Explain If NO, Explain

A: We have to explain given statement.

Q: 9-7 (d) xydzdydr

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

A: Given problem:- A cardboard box manufacturer wishes to make open boxes from rectangular pieces of…

Q: Without eliminating the parameter t, find a Cartesian equation for the lin curve C, defined by the…

A:

Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

A:

Q: suppose f(x)= x^3+ax+b where a<0 and has stationary points at (-2,3) find a and b and find position…

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Q: Find the focus of the parabola y = x 2 - 12x. (6, -35) (6.75, -36) (6, -35.75)

A:

Q: Sketch the graph the integrands and use areas to evaluate the integrals. | Ix| dx -2

A: Follow the procedure given below.

Q: Evaluate y' of the given functions y = /3x + 4)(x + 3)

A: We can find the derivative as below.

Q: Find the limit. lim (t i – 3 j + t² k) t→8 Exact number, no tolerance. lim (1 i– 3 j+? k) i+ i j+ i…

A:

Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

A:

Q: Evaluate y' of the given functions: (х-4) y = x2

A: Here is the solution:

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A:

Q: Given that the vectors X1 = () e- -2t ,X1 = (C)e-6t are solutions of a system x' = AX, do they form…

A:

Q: sech j(r) = e

A: We know that derivatives of sechx is  d(sechx)/dx = -sechx.tanhx   Here i attached the solution of…

Q: 1 Calculate the difference quotient for f(x) = at a = 4. V2x + 5 (Express numbers in exact form. Use…

A:

Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: 4.two die are tossed, the probability that the sum of two faces will be 4 11 d) 3 a) 72 b) 12

A: Probability

Q: The temperature in degrees Celsius (C) in Toronto starting on March 1** can be represented by the…

A:

Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

A: Probability

Q: Find the derivative of the function: f(x) = [sin(4x + x)] [cos(x4 + 4)] f(x) = e3x²+*(cscx + secx)2…

A:

Q: Q3.4:Choose the appropriate answer: 1-If P(A)=0.7 ,P(B)=0.2, P(AnB) = 0.5,then P(A U B) = c)2 a)0.6…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: The non-homogenous solution of the following equation by using variation of parameter method y" + y…

A: Given

Q: Let f(x) = 1, for all x E (0,1). Is f continuous on (0, 1)? Is f uniformly continuous on (0, 1)?…

A:

Q: . [ID # ending in 4 or 7] a?v if v csch y = e*². dv Determine ( + ду. ax дх ду

A: Here, the given function is: v csch y=ex2⇒v=ex2csch y⇒v=ex2sinh y

Q: The evaluation of S S 3y³e*ydxdy is e - 1 O

A: Given: ∫01∫0y2 3y3exydxdy

Q: r(t) = cos(nt)i – In(t)j+ vt – 16k; to = 17 | -

A: Given :

Q: consider a function f (x) vihose derivative f"(x) is continuous as shown belowr. Graph of f'(x), NOT…

A:

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) 2' of…

A: As per guidelines we can answer only three subparts questions at a time, if you need more answers…