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Draw and label a diagram to help solve the related-rates problem. The base of a triangle...
The height of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 2.5 square centimeters per minute. At what rate is the base of the triangle changing when the height is 11 centimeters and the area is 92 square centimeters? Remember that you're using the formula for the area of a triangle: Area -bh (You'll need to know this formula in the normal homework assignments, quizzes and...
The height of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is increasing at a rate of 5 square cm/min. At what rate is the base of the triangle changing when the height is 4 centimeters and the area is 6 square centimeters? Answer: 3 cm/min.
4.1 Related Rates Turned in automatically when due ITEMS SUMMARY 19. < Previous Next > The altitude of a triangle is increasing at a rate of 1.500 centimeters/minute while the area of the triangle is increasing at a rate of 2.500 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 11.000 centimeters and the area is 88.000 square centimeters? (Enter a positive number if the base is increasing, negative if it is decreasing.)
Problem 7. (1 point) When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV 14 = C where C is a constant. Suppose that at a certain instant the volume is 340 cm, and the pressure is 97 kPa (kPa = kiloPascals) and is decreasing at a rate of 15 kPa/minute. At what rate is the volume increasing at this instant? The volume is increasing at cm/min Problem 5....
Related Rates: Problem 8 Previous Problem Problem Lit Net Problem 1 point) Water is leaking out of an inverted conical tank at a rate of 11300.0 cm/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 10.0 m and the the diameter at the top is 6.5 m. I the water level is rising at a rate of 24.0 em/min when the height of the water is 1.0 m,...
Please help me solve this question thanks 4. The area of a triangle is determined by its base and height. Let B 12.15 and H*-8.25 which are the approximations of B and H respectively by the rounding method. Area of the triangle is ABH a) Determine the (absolute) error bound of B*and H* b) What is the approximated (absolute) error bound of the triangle's area?
QUESTION 16 First identity and label any variables in this problem. (Diagram mot drawn to scale) Then write an equations and show how to solve it algebraically Be prepared to show your work A contestant on a survival show makes a lean-to for shelter. She uses trees that stand perpendicular to the ground so that the side of the frame forms anghe triangle. The depth of the lean-to the base of the triangle) is 2 times its height (formed by...
2. (18 pts) Consider an isosceles triangle that has its base on the x-axis. The apex of the triangle is at the point (O.y), where y > 0, and the remaining two vertices are at the points (x, 0) and (-x,0), where x > 0 (see figure). The area of the triangle is 120 in? This triangle lies inside a bigger isosceles triangle that also has its base on the x-axis. The apex of the bigger triangle is at the...
7. Draw and label a force diagram for each of the three charges. Then calculate the net force (magnitude and direction) on each charge. [magnitudes are 1.42x106 N, 4.78x106 N, 3.36x106 N, don't forget directions] 9.5 cm 15.8cm-> . 91 42 1.3mC 93 -4.4mC 2.1mC 8. Draw and label a force diagram of the forces on q4 (make sure you have an arrow for each of the other charges, even any that cancel) Find the net force (magnitude and angle)...
The included angle of the two sides of constant equal length s of an isosceles triangle is θ.A=(1/2)*(s^2)*sinθIf θ is increasing at the rate of (1/8) radian per minute, find the rate of change of the area when θ = pi/3.Thank you, your help is really appreciated! :)