Given x = sin 0, y = cos 0₂ л ≤ ≤ 2л a) eliminate the parameter to find the rectangular equation of the curve. b) Sketch the curve and indicate with an arrow the direction in which the curve is traces as the parameter increases.

Q: Use the antiderivatives of trigonometric functions to evaluate the following. 3. f3 sec² x dx 4. f10…

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Q: 29. f(x) = −x² + 4x − 3; a = −1, b = 2

A: f(x)=-x2+4x-3x=-1  and x=2

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A: The equation of line y=-6x+2

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Q: Q9 Integrate the following: (a) √5x(x²-3x + 1)dx (b) f(12e4x -+2) dx

A: Important formula to answer the questions÷ ∫xndx=xn+1n+1+c ∫1xdx=lnx+c ∫eaxdx=eaxa+c

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A: The given function is fx=3-3x2,  -5≤x≤1.

Q: evaluate the intergral terms area 4 s -7 (10-5x) dx by interpreting it in

A: ∫-7410-5xdx

Q: B. Evaluate: dx (x² -36) 1/2 * > 6 S

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Q: Find all the values of x such that the given series would converge. Answer: Note: Give your answer…

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Q: ALL WORK Determine if the sequence is arithmetic. If it is, find the common difference, the 52nd…

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Q: Which of the following is/are true about f(x, y) = x³ – 6xy + 8y³? f has two critical points one of…

A: We need to find and categorise the critical points of the function: f(x,y)=x3-6xy+8y3

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. 8 [ (8…

A: Solve the integral by the defination

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Q: Question #11 √₁² (3x²+2x)dx Evaluate the following integral

A: Integration.

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Q: Consider the function f(x) = x 2 − 1. Find the equation of the tangent to the graph of f(x) at x =…

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Q: Find the indicated limit. lim (2t² - 7t + 1) t→4

A: NOTE: Refresh your page if you can't see any equations. .

Q: The function P(x, y) = 6xy-4x²-3y² +100 is to be Question #18 maximized using the constraint x+3y=19

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Q: 2. Use first principles to find the derivative of each. f(x) = √√2x − 1 a) b) y = x₁

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Q: 7. Be sure to show and explain all steps. (f(x))(g(x)) Determine lim x→c (g(x))-Sh(x) lim f(x) = 10…

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Q: Use the Chain Rule & Power Rule to complete the first line ONLY of the derivative for g(x) = (5x³ —…

A: The function is given by gx = 5x3-x44 To determine: The expression of the first derivative.

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Q: Question #30 - If f(x) = 3x²+2x-5, then find the slope of the secant line between x = 1 and x =2. a)…

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Q: 纯 N = " k

A: Normal vector formula = (T'(t))/(|T'(t)|)

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A: Given, equation has a relative minimum of 1/2 when graphed.

Q: The absolute minimum value of f(x, y) = 4xy² = x²y² — xy³ on the triangular region in the xy-plane…

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Q: The figure shows an open box with a square base. The box is to have a volume of 10 cubic feet.…

A: Given volume of box is 10 cubic feet. Volume of box = Length * Width * Height 10 = x * x * y 10 =…

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Q: Question #9 to the function The Population of Palatine is growing exponentially according…

A: Pt=37e0.015tHere t is the number of years since 1950 ,Pt is measured in 1000's of people

Q: Use the Quotient Rule OR Product Rule to find the derivative of p(x) exponents. = 1 (2x-5)³. Write…

A: We know that the quotient rules of the derivative is d/dx(u/v) ={v*(du/dx)-u*(dv/dx)}/v^2

Q: 1. The diameter of a circle has endpoints located at 2, 13) and (2,19 Show all steps to determine…

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Q: Find the cross product a x b. a = 5j 6k, b = −i + 2j + k Verify that it is orthogonal to both a and…

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: 1 If sin(x) , and a is in quadrant IV, determine the exact value of each of the following. Use 5…

A: Sine positive 1st and 2nd quadrant And cos positive 1st and 4th quadrant And tan positive 1st and…

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A: given y=tan(4x+3) we know d dx(tanx)=sec2x

Q: question 9 on 6.1 hw

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Q: The function f(x) = 2x³ − 42x² + 240x-2 has two critical numbers. The smaller one is x = and the…

A: given function is f(x)=2x3-42x2+240x-2

Q: x²

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Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, y = x, X>0 Find its area. y 8 6 4…

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Q: 7. Find the radius and interval of convergence of the power series: n=0 (3n)!x" (n!)³

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Q: Minimizing Costs A pencil cup with a capacity of 36 in.3 is to be constructed in the shape of a…

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Q: π Find the equation of the tangent line to x(t) = 6 sec t, y(t) = 6 tant at t = in slope-intercept…

A: To find the equation of the tangent line to xt=6 sect, yt=6 tant at t=π4 in slope-intercept form.

Q: Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the…

A: -4, 16, -64, 256,....