Find the magnitude and direction (in degrees) of the vector. (Assume 0° s e < 360°. Round the direction to two decimal places.) v = (-8, 6) |v| =

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Q: In x dx .2

A: We need to solve the integral.

Q: x = r° +1, y=r² -t a) Find dy/dx Show all your work.

A: x =f(t)dxdt=f'(t)   y=g(t)dydt=g'(t)Then,dydx=dydtdxdt =g'(t)f'(t)

Q: t2 1- y? dy 6. dt dy ap 2ty? + 3t²y², y(1) = –1 5. r(0) = -2 y(0) = -2 7. dt dt

A: To find the solution of the given initial value problems.

Q: Find an equation for the plane that is tangent to the given surface at the given point. z= vy-x…

A: Here, the given surface is: z=y-x Now, ∂z∂x=12y-x(-1)=-12y-x∂z∂y=12y-x(1)=12y-x Now, at (0,4,2):…

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Q: For the function f(x)= find f"(x). Then find f"(0) and f"(4). 10+X f"(X) = Select the correct choice…

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Q: 27-x3 1. lim X-3 5x2-11x-12

A: We have to find the limit of one question as per guidelines Please repost other questions again

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your ansuwer to two decimal places when…

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Q: 4 x ) dx. 4 tan x

A: topic - definite integral using integration properties

Q: 5* Determine whether the sequence defined by a* %3D 8* +1 converges or diverges. If it converges,…

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Q: Answer 1 only. Upvote if it is typewritten.

A: We have to find the integral

Q: A manufacturer of hospital supplies has a uniform annual demand for 500,000 boxes of bandages. It…

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Q: Find a b if Ja = 8, |b| = 9, and the angle between and b is radians.

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Q: 2y +1 e'y 1+ y? dy dy = t*y dy 4. dt 2. 3. %3D dt dt t

A: See the answer below

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Q: A. Evaluate the following integrals. dx 1. 5+x2 dx V4-9x2 dx 3. x V16x2–25 dx 4. x2+4x+13 2.

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Q: 5. Find the length and width of a rectangle that has an area of 32 square feet and a minimum…

A: Given, area A=32 sq.ft Let, x be the length and y be the width. The formula for the area of a…

Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km/…

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Q: Solution Set -20 -10 20 -10 20 Say whether the region is bounded or unbounded. The region is…

A: The region that corresponds to the given inequality,10x+5y≥505x+10y≥505x+5y≥40x≥0, y≥0

Q: Using Table 15.2, if the air temperature is 41°F, and the relative humidity is 20%, the weight of…

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Q: In a study of children, a total of 1,560 children were examined. Of these, 1,018 had rickets. Of the…

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Q: x =r +1, y=r -1 c) Find an equation of the tangent to the curve at the point corresponding to t = 1.…

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Q: D Determine where F(x) = ax' -3x -ax is concave up and concave down.

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Q: For the function f(x) = -7 e X, find f"(x), f''(0), f'"(9), and f''(-9). f"(x) = (Type an exact…

A: The objective is to solve the above question.

Q: HewB Let - ! Frnd flA) Ans/ P)-(L-cosat) 4 Shなs

A: In this question we use Laplace transform property to solve this given function.       Here i…

Q: x =r' +1, y =r -t = t a) Find dy/dx

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Q: ng integrals. 25

A: We have to evaluate of the given indefinite integral

Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The given function is: h(p)=p-1p2+2 To find the derivative of the function using the quotient rule:…

Q: If V (t) is the amount of oil in a barrel being filled at time t, what physical quantity is…

A: Let's find.

Q: cos x dx

A: topic - integration by parts

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Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

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Q: (a) log2 r = 3 I+2 (b) 8. = 4* %3D (c) 5 = 7+1 %3D

A: Given query is to find the value of x.

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: Simplify the expression. sec @ — csc ө 2) sec 0 sin 0 – cos 0 csc 0

A: Simplify the expression

Q: 4. The population A (in thousands) of Atlantic City in 2014 was 39,521. In 2018, the population was…

A: We need to find population model and solve.

Q: Find f. f "(t) = 2e + 6 sin(t), f(0) = 0, f(x) = 0 %3D %3D f(t) %3D

A: We can solve the given problem as follows:

Q: 1. f(x) = x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The area of a circle increases at a rate of 6 cm2/s. a. How fast is the radius changing when the…

A: Given that the area of a circle increases at a rate of 6 cm2/s .

Q: Let f(x) 2x + 9x? – 108x 5. Calculate the derivative f'(x) = Calculate the second derivative f''(x)…

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Q: Evaluate the following limits. If needed, enter 'INF' for ∞ and '-INF' for -x (a) (4 – x)(8+ 3x) lim…

A: topic - limits

Q: Find the equation of the tangent line to the curve at the given point. y3 = 27x° at (1,3) The…

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Q: a. Determine whether the Mean Value Theorem applies to the function f(x) = sin - 1 'x on the…

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Q: Consider the transfer function: Y(s) s+2V3 H(s) X(s) s2+2s+8 What will be the stationary response…

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Q: x =r' +1, y=r -t d'y d’y b) Find dx?

A: Given: x=t3+1 and y=t2-1

Q: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: This question is based on application of derivative.

Q: Determine the value of x that satisfy the following equation; sinh-1x = In(3 – x²) – In(x + v3).

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Q: b. Consider the graph of function f below. 1,5) (7,9) (-1,-1) (4.2) (1,-1) Complete the following…

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