Answer the following. Round your answers to the nearest hundredth. (a) Convert -213.7° to radian measure. radians (b) Convert -40° to radian measure. radians X G

Q: Find the partial derivative indicated. Assume the variables are restricted to a domain on which the…

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Q: Use what you have learned in Calculus II to find the area of the triangle made up of the points…

A: Let's find area of hexagon.

Q: INSTRUCTIONS: State L(x) (the linearization) at a f(x) = sin(x) 6

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Q: Convert the following triple integral from rectangular to cylindrical coordinates. Do not evaluate…

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Q: Integrating factor of dy -5 y=e³t t dt is µ(t)= 1 Select one: O True O False

A: Divide rhe equation by t and then go ahead

Q: f(x): 5(x²+5) cot(x) 4- cos(x) csc(x)

A: Topic:- application of derivatives

Q: If r(x) x-intercept(s) = x+4 x²-4 ,find the following: a. b. y-intercept c. Vertical asymptote(s),…

A: given function is  rx=x+4x2-4

Q: Find the point on the curve y = √x  that is closest to the point (2, 0).

A: Topic = Functions

Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: Let's find areas of the shaded rectangles under the graph.

Q: The economy of a small island nation is based on two sectors, coal and steel. Production of a…

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Q: An expression for which the derivative is v² +6v is v³ + 3v² That is, v³+3v² is an antiderivative of…

A: We have to solve

Q: 21. y =(x-3)√x

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Q: (x) x + 1/2 Ax² + Bx + C (x² + D)²

A: Topic:- application of derivatives

Q: Evaluate the integral. 16-x² 16-²-22 1 16-2³-√16-23-² (x² + y² +22)1/2 dy dz dx =

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Q: Find the domain of the following rational function X+B 7-64 500 Select the correct choice below and,…

A: Domain of a function y=f(x) is the set of all possible values of x for which f is defined.

Q: d the equation of the surface in Cartesian coordinates, given the equation in cylindrical…

A: Given query is to find the equation in Cartesian coordinates.

Q: Find an equation for the line that is tangent to the curve y=2x3-2x at the point (-1,0).

A: Given query is to find equation of the tangent.

Q: Given that L cos(2t) √πt cos(2t) find the Laplace transform of t c{√= } = = e-2/s t cos(2t).

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Q: A piece of cardboard measuring 10 inches by 12 inches is formed into an open-top box by cutting…

A: Volume

Q: 1. Let f(x, y) = sin(x² - y). Compute fx(0, π) and fy (0) and describe in words what these values…

A: Topic = Derivative

Q: 6. f cos³x√sin xdx)

A: sin2x+cos2x=1∫xndx=xn+1n+1

Q: compute In(1/e^4)

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Q: Evaluate the following integral in spherical coordinates. (x² + y² + 2²) 5¹² dv; D is the unit ball…

A: So for cartesian coordinate to spherical coordinate the conversion formula isx=r sinϕcosφ,…

Q: Use a finite sum to estimate the average value of f on the given interval by partitioning the…

A: Given, Use a finite sum to estimate the average value of f on the given interval by partitioning the…

Q: Determine whether the statement is true or false. (ln x)4 = 4 ln x for all x in (0, ∞). True False

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Q: 1. The graph below shows the function f(x) = 3(2)*. a. Where is f(x) increasing? Explain. b.…

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Q: Question content area top Part 1 By determining f′(x)=limh→0 f(x+h)−f(x)/h​, find f′(3) for the…

A: Use the limit definition of derivative for finding the derivative at given point.

Q: 7) f(tan(2x) + cot(2x))² dx = a) tan(2x) - cot(2x) + C_ b)tan (2x) - cot(2x) + C c) tan(2x) +…

A: tan2u=sec2u-1 cot2u=csc2u-1 ∫sec2mxdx=tanmxm ∫csc2mxdx=-cotmxm

Q: Find f'(16) if f(x) = 7x² + 3x +3 √I

A: To find the derivative of given function

Q: -1 Find the domain and the range of g(x) = sin-¹(3x + 1). Domain: Range: << ≤ y ≤ <

A: NOTE: Refresh your page if you can't see any equations. . as we know, the range of the sine inverse…

Q: The position of a particle moving along a coordinate line is s=root 28+4t​, with s in meters and t…

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Q: Suppose a sample of a certain substance decayed to 63.4% of its original amount after 300 days.…

A: Let's find half life of the substance.

Q: The answer given in my answer sheet is 108 square centimeter.

A:

Q: Let ​f(u)= \root(3)(u) and ​g(x)=u=5+9x2. Find (f◦g)′(1).

A:

Q: Consider the differential equation -ly"" + 2y" + 1y' - 4y = 0 with y(0) = 0, y'(0) = 1, y" (0) = -4.…

A: Please see the below picture for detailed solution.

Q: 7. Evaluate Definite Integral 4 X/4 -4 3 dx

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Q: It is estimated that a months from now, the number (in thousands) of out-of-state cars on a ferry…

A: dxndx=nxn-1

Q: 2. Eliminate the arbitrary constant(s) in the following equations: b. tany= C₁ cotx + C₂

A:

Q: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material…

A: Given A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The…

Q: A hexagon is a six sided regular polygon, or a 6-gon. Repeat the process above for inscribing a…

A: We have to find the area of hexagon.

Q: Find an equation of the tangent line to the curve at each given point. x = 2 - 3 cos 0, y = 3 + 2…

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Q: Consider a triangle with A=39 degree, B= 46 degree, a= 95. find for b

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Q: write the exponential function y=50(1.025)^t in the form of y=a(e)^kt, once you have rewritten the…

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Q: Find an equation for the line that is tangent to the curve y=x3 −9x at the point (3,0).

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Q: Find the equation of the surface in spherical coordinates, given the equation in Cartesian…

A: The spherical to cartesian coordinate relation is given by: x=ρsin φcos θy=ρsin φsin θz=ρcos φ

Q: Find dy/dx. y=x0.75

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Q: Work Problems ( t+2 (1) {^~^~`----` 2) Let r(t) = ( √5 – t, ¹+², t sin t). > A) Find the domain of…

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Q: Find the maximum and minimum values of the function f(x, y, z) = yz + xy subject to the constraints…

A: Given:f(x, y, z)=yz+xysubject to constraints:g(x,y,z)=y2+z2-81=0h(x,y,z)=xy-2=0

Q: The half-life of cesium-137 is 30 years. Suppose we have a 30 mg sample. (a) Find the mass (in mg)…

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Q: The differential equation dy dx is a Bernoulli's equation. x² Select one: O True O False + (2 - x…

A: