Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x²/3+²/3 = 4, (-3√/3, 1) (astroid) X

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A: A rectangular turtle pen is 5 feet long by 3 feet wide. The pen is enlarged by increasing the length…

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A: Central angle theorem:

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A: To find a positive angle less than  that is coterminal with the given angle.

Q: 2.15* Make up a table with columns headed by values of kx running from x = − λ/2 to x = +λ in…

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Q: Solve cos2 = √3-cos, where 0<x<2. The sum of the solutions on the domain is 2TT π w 3π 2

A: To solve .To find the sum of the solutions on the domain.

Q: Perform the calculation. 53°8+46°50' - 26°14' 53°8′ +46°50′ - 26°14'=' (Simplify your answer.) **

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Q: 5. If 90° < θ < 180° and sin θ = 7, find cos 20. = 0 - O Ο Ο 8 49 41 49 49

A: Given that the angle theta is in second quadrant and

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A: We have given,Grade resistance F and vehicle weight W,where F = W * sin θ(a) F = 350 lb    W = 6000…

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Q: 2. If 0° < € < 90° and sin0 = 5, find cos 25' O O O O 7√2 10 10 10 10 7√10 10

A: Given that

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Q: Use given conditions find values of all 6 trigonometric functions. sec(x)=-9/2, tan(x)< 0 sin(x)…

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Q: 4. The angle at B 12'-0" A 16' - 0" B D 16'-0" 16'-0" C

A: The length we used for finding the angle at B AD DC BD As we know that

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Q: Use a calculator to evaluate the expression. sin 92° cos 178° + cos 92°sin 178° sin 92° cos 178° +…

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Q: Find the y-intercept on the graph. What does the y-intercept mean in the context of this problem?

A: The value of y in this problem is given by the vertical distance between a position on the Mount…

Q: Solve each triangle ABC, in which C = 90°. a= 42cm and b=54cm

A: C = 90°. a= 42cm and b=54cm

Q: use trigonometric substitution to write algebraic expression as a trigonometric function of x where…

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Q: A hollow metal sphere has a wall thickness of 2cm. If you increase both the diameter and thickness…

A: Let the initial radius of the sphere be, r cm.The initial thickness of the sphere = 2cmTherefore,…

Q: Find the angle between the following vectors. Round your answers to two decimal places in degrees. a…

A: a=&lt;5,-4&gt;b=2i-5jFind the angle bbebetbetwbetween the two vectors.

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Q: Dividing the polynomial P(x) by x - 6 yields a quotient Q(x) and a remainder of 5. If Q (-6)=5, find…

A: As we know Dividend=Divisor X Quotient +Remainder

Q: f sin³x cos²x dx

A: As peer our guidelines, I can only solve one question and rest of the question will be reposted

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Q: Simplify: sin(0) cos²(0) · tan(0) · cot (0) · sec(0) · csc(0) =

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Q: Find the unknown side lengths labeled with a variable in the given pair of similar triangles. B a= 9…

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Q: Sketch an angle in standard position such that has the least possible positive measure, and the…

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Q: if (a,4) is a point on the graph of x^2+3x, what is a?

A: The point  is on the graph .The aim is to find the value of .

Q: MAT 151 Sect 3.6 1. Let P = (x,y) be a point on the graph of y=x²-7. Complete parts (a) through (e)…

A: Let  be a point on the graph of .(a) To express the distance d from P to the origin as a function…

Q: 14. Which of the following equations represents the area of a sector? O A = nπr², where n is the…

A: In this problem, the aim is to find that which option is true for the area of the sector for an…

Q: find the exact value of each expression. do not use a calculator. 13) sin(13pi/12)cos(pi/12) 15)…

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Q: Draw 150° in standard position. Then find a if the point (a, 1) is on the terminal side of 150°

A: The figure

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A: we  need to sketch the angle -5pi/6 .

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Q: perform the indicated operations, where u = 3i - 2j and v = -2i + 3j 35) ||u - 2v||

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Q: Use rectangles to estimate the area under the parabola y - 4x² from 0 to 1 (the parabolic region S…

A: we have to find the value of A, L4 and R4.

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Q: Find the remaining trigonometric functions of ? if csc(?) = 13/5 and cos(?) < 0.

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A: Given:First vertex: ( 1 , 0 ) The circle is centered at the origin (0, 0) with a radius of 1.

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Q: write Slope: D.B

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Q: Without using a calculator, sin² (27°) + cos² (27°) · find the value of sin (55°) cos(35°)*

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A: The given radius is, The given angle is

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A: we have given function

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A: For small angles, some trigonometric functions can be approximated by the angle itself when the…