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[DOC File]VOLUMES with Different Cross-sections
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Given the side of an equilateral triangle, Area = Given the diameter of a semicircle, Area = Given the hypotenuse of an isosceles right triangle, Area = Keys: 1. START WITH A GOOD PICTURE! 2. Draw the base of 1 cross section, and determine how long it is (usually f(x)), and how it’s related to the shape you’re building (e.g., it’s a side ...
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[DOC File]CALCULUS - Ed Kornberg
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The sides of an equilateral triangle are increasing at a rate of 5 8 centimeters per second. At what rate is the area of the triangle increasing when the sides are 4 centimeters? A) 3 square centimeters per second B) 5 3 4 square centimeters per second C) 2 3 square centimeters per second D) 5 3 square centimeters per second ____
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[DOCX File]fleurmarsella.weebly.com
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The diagram shows an equilateral triangle. The area of the equilateral triangle is 36 cm2. Find the value of x. Give your answer correct to 3 significant figures. x = ..... (Total 3 marks) _____ 16. Prove algebraically that the product of two odd numbers is . always . an odd number. (Total 3 marks) ...
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[DOC File]Norwood Norfolk School
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**** This packet is intended to be used as supplemental review and practice of problems that reflect the topics . which will be covered on the final exam.
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[DOC File]EXTRA CREDIT: +5 points
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How does this triangle compare to the original? 4. Measure the opposite leg. 5. Set up a proportion and solve. Ex: King Gudenuf moved on to attack the castle of the vile Baron Malodorous. Malodorous has a 15 foot wide moat around his castle. Gudenuf asks Trig how long a ladder must be to reach from the far side of the moat to the top of the ...
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[DOCX File]WordPress.com
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For this solid, each cross section perpendicular to the x-axis is an equilateral triangle. What is the volume of the solid? 43. The graph of , the derivative of the function f, is shown above. If , which statement(s) must be false? I. II. III. 44. The height h, in meters, of an object at time t is given by .
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[DOC File]HONORS ALGEBRA 2
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the area of an equilateral triangle in terms of the length of a side s is . s 2 3 4 . The base of the triangle will be s and the height can be found using the Pythagorean theorem by dividing the triangle into two right triangles by drawing an altitude a a 2 + ( s 2 ) 2 = s 2 . a 2 = s 2 - s 2 2 . a 2 = 4 s 2 4 - …
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[DOC File]Calculus H
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9. The combined perimeter of an equilateral triangle and a square is 10. Find the dimensions. of the triangle and square that produce a minimum total area. 10. The combined perimeter of a circle and a square is 16. Find the dimensions of the circle . and square that produce a minimum total area. 11.
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Equilateral Triangles Calculator
Equilateral Triangle. D (x,y) y=2. x = 3. x-axis. We’ll take ‘vertical strips’ to the x-axis and integrate from x = 0 to x = 3 and just double our result. If we stay in the 1st quadrant, our x’s and y’s will stay positive. Using the formula for the volume of a prism (and cylinder), V = BH, we obtain:
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[DOC File]Answer ALL questions - RPHS
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Ch 4.4 Wkst AP Calc BC Lesson . Related Rates. Steps: 1. Draw a diagram and specify in mathematical form the rate of change you are looking for, and the specific conditions (or values at a specific instant in time) that is involved in the problem. ... Hint: Half an equilateral triangle is a 30-60-90 triangle. And all 30-60-90 triangles are ...
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Equilateral triangle calc