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- The height of a certain hill (in feet) is given by h(x, y) = 10 (2xy - 3 x^2 - 4y^2 -18x +28y + 12), where y isthe distance in miles (north), x the distance east of South Hadley, Massachusetts.a.) Where is the top of the hill located? b.) How high is the hill? c.)How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? Inwhat direction is the slope steepest, at that point? d.) Make a contour map and a 3D plot of the area surrounding South Hadley, from 8 miles west to 4 mileseast, and 2 miles south to 8 miles north. Plot only positive heights on the 3D graph; use If to help yououtExpress these numbers in scientific notation and identify the number of significant figures in each. A. 37.60 = , B. 0.00250 = , C. 103000 = , D. 3.141600 = ,ProcedurePart A: Circles and Ratio of Circumference/Diameter1. Obtain three different sizes of cups, containers, or beakers with circular cross section. Trace around the bottoms to make three large but different-sized circles on a blank sheet of paper. 2. Mark the diameter on each circle by drawing a straight line across the center. Measure each diameter in cm and record the measurements in Table 2.1. Repeat this procedure for each circlefor three times. 3. Measure the circumference of each circle by carefully positioning a string around the object’s base, then mark the place where the string ends meet. Measure the length in cm and record the measurements for each circle in Table 2.1. Repeat the procedure for each circle for three trials. Find the ratio of the circumference of each circle to its diameter. Fill the ratio for each trial in Table 2.1. 4. The ratio of the circumference of a circle to its diameter is known as pi (symbol π), which has a value of about 3.14. Compare your…
- Revie A = 252 - 12ý, and B = 2.02 + 15. Express A- Bin unit vector notation. Express your answer using two significant figures. Express your answer in terms of the unit vectors and y. V AE Submit Reguest Answer Part B Express B-A in unit vector notation. Express your answer using two significant figures. Express your answer in terms of the unit vectors a and y. VO AEd B-A= PearsonA cylindrical rod is 6.21 m long and has a diameter of 1.77 in. Calculate its volume, V, in cubic meters. Useful fact: 1 in. = 25.4 mm. If the volume is V = nx10m. enter the number n below. Do not give us the volume V. Give your answer correct to two decimnal places. n3D Typeyour answer.How would I do these questions and round them to the nearest significant figure? I am having trouble with the multiplication rule of sig figs.
- can you put the answers in decimals form? ex. 0.78 not 78x10^4 something. Thank you!A quarter-circle plate has radius R. A triangular section is removed from the circle leaving the shaded shape shown below. The area of the figure can be expressed as some numerical factor times R². Determine the numerical factor with 3 digits. Exception: if the first digit of the numerical factor is 1, include 4 digits on your answer. R RThe total Volume v of the real house is that fa triargulas pism (of heigut h=3.om and base area A= 20x12="24om²) in addition fo a h'= 6-0m and Same base) . Thenejore. reckangalas box (height
- Review: Trigonometric Ratios in a Right Triangle 2 Please answer the following question(s): 1. Calculate a: 8 cm a = a Note: the angle should be in degrees. If you use inverse trigonometric functions in the Mathtype tool the angle returned is in radians. 5 cm 0 SENSE MAKING What are the maximum and minimum values a can have? Do your calculations support that?Answers must be expressed in engineering notation (when the exponent of the base10 multiplier is not amultiple of 3, press ENG or SHIFT+ENG, whichever the case.) Example: 0.06N or 6.0x10-2 N must be expressed to 60x10-3 N or 60mNo Decimal places = 2 to 5In a right triangle, the sine of an angle is 0.729. What is the cosine of the same angle? There are two possible answers, one positive and one negative. Enter the positive value as your answer. cos) =