Solve triangle ABC. (Round the length to three decimal places and the angles to one decimal place.) c= LA= LB = 。 0 A 16 120° 24 B

Q: The height of an object t seconds after it is dropped from a height of 280 meters is s(t) = -4.9t² +…

A: Average velocity = total distancetotal time Mean Value Theorem The mean value theorem states that…

Q: Estimate 10 [²0 f(x) dx using five subintervals with the following.

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Q: 3. ( Solve the IVP explicitly: f df da =re -2x f(0) = -1

A: To solve the IVP explicitly. fdfdx=xe-2x, f0=-1

Q: 12. sint√/1 + cost dt

A: let  H=∫sint1+costdt

Q: Find the mass of a lamina bounded by y = 5√x, x = 4, and y = 0 with the density function o(x, y) = x…

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Q: Find the equation for the tangent plane to the surface -3x-8y-9z--13 at the point (1,-1,2). O-3x+8y-…

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Q: Rewrite the integrand in terms of u so that the X integral IT da takes the form f(u) = 3x² +10…

A: Given indefinite integral ∫x3x2 + 10dx

Q: + x² − 5e³, find ƒ'(x). If ƒ(x) = 4eª + x² 4eª

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Q: Suppose that f(x, y) = e/ at which {(x, y) | 0 <≤ y ≤ 1,0 ≤ z ≤y³}. D Then the double integral of…

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Q: Convert the value (10111011010001011101)2 to Base 10 using the equation method

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Q: Given that f(x) = x³h(x) h(-1) = 4 h'(-1) = 7 Calculate f'(-1).

A: Given : f(x)=x8h(x)             h(-1)=4       h'(-1)=7   To Find : f'(-1)

Q: Find the area of the region between the curves y = Area between curves = x² and y² = x.

A: It is given that,  y=x2   and  y2=x Therefore,                    x2=x ⇒x4-x=0⇒x(x3-1)=0 ∴  x=0,1…

Q: d√√₁ (47 (4x + 2y)dA where R is the parallelogram with vertices (0,0), (5,-5), (-2,1), and (3,-4).…

A: Use the given transformation x=5u-2v and y=-5u+v to find the given prallallograme integration value.…

Q: Set up an integral for the area of the surface generated by revolving the given curve about the…

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Q: determine the volume of the shape obtained by rotating the region bound by y=√x and y=x^2 around the…

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Q: d √(x8+2x³+7) dx = 6 dx

A: We know that the integral of x^ndx=x^(n+1)/(n+1)+C  And derivative of x^n=nx^(n-1)

Q: Solve the following equation: x 242x = 0 X =

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Q: A box of volume 216 m³ with a square bottom and no top is made of two different materials. The cost…

A: Let  The length of the bottom side = x  height = y    volume = 216  x·x·y=216     y=216x2

Q: Using derivatives find the absolute maximum and minimum of the following function over 1 ≤t≤ 25.…

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Q: Find the area bounded by the parabolas y=6x-x2 and y=x2-2x I ONLY NEED THE GRAPH. LABEL IT PROPERLY…

A: GIVEN THAT              y=6x-x2              y=x2 -2x

Q: Construct a polynomial function with the following properties: fifth degree, 5 is a zero of…

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Q: Find the directional derivative of the function f(x, y) = ln (x + y³) at the point (-3,2) in the…

A: The given function is:f(x, y)=lnx2+y2Given point is:  P=(-3, 2)Direction vector is:  v→=-2, -3

Q: Find the volume of the solid bounded by the xy-plane and the surfaces x² + y²=256 and z=x²+y².

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Q: Find S 2 x(x+3)² dx

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Q: 4 −3x³ +2x² +x+1 X S 3 x² + 2x dx

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Q: A can of red bull without a top is made to contain 355cm3 of energy drink. Find the dimensions that…

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Q: dªy dx = 12x+2 :y(2) = 28, y(2) = 5

A: We need to solve the following differential equation: d2ydx2=12x+2 ; y'(2)=28, y(2)=5 This can be…

Q: √√3 X 3x² + 10 -dx

A: Integral using u-substitution

Q: Evaluate √a²-x² -√√a²-x² { 2xy dx dy

A: The given integral ∫0a∫-a2-x2a2-x22xy dx dy.

Q: 2 ·sin'´x · tanx · cos'x · fank 2 re sinxe Answer a CSC X b secx cotx tan X a D Weit *

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = 0.007t² +0.5t, where…

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Q: Write the equation in standard form for the ellipse with center (0,11), vertex (-12,11), and…

A: We have to find standard form of the equation of the ellipse with the given characteristics: center…

Q: 1. What is the area of the shaded region shown? y 16 NOT TO SCALE y=16-x4 y=12-3x²

A: Given curves are: y=16-x4 and y=12-3x2 We have to find area between the curves.

Q: k+1 For f(x) = = 2x of k if the average value of f(x) over the interval [1, e] equals to 1 is:…

A: Given, the function is fx=k+12xcontinuous on [1,e], and the average value is 1.

Q: The integral that represents the length of the curve y = tan(4x), where following: ≤x≤, is the π/3…

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Q: Suppose that f(x, y) = y√³+1 at which {(x, y) |0 ≤ y ≤ x ≤ 1}. D Then the double integral of f(x, y)…

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Q: Rewrite the integrand in terms of u so that the integral f(u) = x √ (32²² -da takes the form…

A: To rewrite the integrand in terms of u so that the integral ∫x3x2+64 dx takes the form ∫fu du.

Q: Use Lenz's law to answer the following questions concerning the direction of induced currents.…

A: The three figures are

Q: ride lasts for 16 minutes for a A child is riding a Ferris wheel with a total of 4 revolutions. The…

A: Given that a child is riding a Ferris wheel with a diameter of 13 meters and ride lasts for 16…

Q: The marginal cost of manufacturing a yards of a certain fabric is C'(x) = 3-0.01x + 0.000006x2 (in…

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Q: Using a Table of Integrals with the appropriate substitution, find e³ +7e² + 8e da 100 Answer: Tete…

A: We can solve the above integral by using Substitution method.

Q: Evaluate the integral. 12 F(X). f(x) dx where f(x) if -2 ≤ x ≤ 0 (6x² if 0 < x < 2 = {2-x²

A: Given: f(x)= 2 for [-2,0] and f(x)=6-x2 for (0,2]  We have to find the value of integration of f(x)…

Q: Compute - [In(4x² − 3)] d dx Note to type in a fraction it should look like (a)/(b)

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Q: Estimate e0.1 using a Maclaurin polynomial of degree 3. The value of e0.1 is approximately

A: Given that e0.1. We have to estimate this value using the Maclaurin polynomial of degree 3.

Q: Given (a) (b) [³F(x) dx evaluate each definite integral. f(x) dx = 8 and f(x) dx = [ r3 6 nd [*1(x)…

A: To evaluate the following integrals.

Q: 23. S a+bx² /3ax + bx³ dx

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Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) = 12 |x| over the interval…

A: fx=12-x As we know  ⇒x=-xit x&lt;0xif x≥0

Q: The area of a circle, A=², changes as its radius changes. If the radius changes with respect to…

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Q: Find the dimensions of the box with the maximum volume

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Q: The Mean Value Theorem states that if f is continuous on the closed interval [a, b] and…

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