Please answer completely. Schools about to finsh and i really need help with my classes. I still have Ap Gov left and Calculus so it would be very helpful if you answer all parts of this. Thank you. FRQ 1A graphing calculator is required for the following problem.10, 10)(-3, 1)(3, 1)Let flx) = log(x? + 1), g(x) = 10 – x², and R be the region bounded by the graphs of f and g, as shownabove.a) Find the volume of the solid generated when R is revolved about the horizontal line y = 10.b) Region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is anisosceles right triangle with a leg in R. Find the volume of the solid.c) The horizontal line y = 1 divides region R into two regions such that the ratio of the area of thelarger region to the area of the smaller region is k:1. Find the value of k. Student Guide (continued)FRQ 2A graphing calculator is required for the following problem.81015_(hours)R(t)(railcars)66280110A grain elevator fills each railcar of a train with grain. The number of railcars filled after t hours is given bya differentiable function R for 0 sts 15. Values of R(t) at various times t are given in the table above.a) Use the data in the table to approximate the rate at which the number of filled railcars is changingat time t = 5. Show the computations that lead to your answer. Indicate units of measure.b) Will the instantaneous rate at which the number of filled railcars is changing at some time t beequal to the approximation in part (a)? Justify your answer.c) Use a trapezoidal sum with the four subintervals indicated in the table to estimate * R(t)dt.Using correct units, interpret the meaning of * R(t)dt in the context of this problem.d) Determine °R'(t)dt. Using correct units, explain the meaning of the expression in the contextof this problem.

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Description: Please answer completely. Schools about to finsh and i really need help with my classes. I still have Ap Gov left and Calculus so it would be very helpful if you answer all parts of this. Thank you. FRQ 1A graphing calculator is required for the foll

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FRQ 1 A graphing calculator is required for the following problem. (0, 10) (-3, 1) (3, 1) Let f(x) = log(x² + 1), g(x) = 10-x², and R be the region bounded by the graphs off and g, as shown above. a) Find the volume of the solid generated when R is revolved about the horizontal line y = 10. b) Region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is an isosceles right triangle with a leg in R. Find the volume of the solid. c) The horizontal line y = 1 divides region R into two regions such that the ratio of the area of the larger region to the area of the smaller region is k:1. Find the value of k.

FRQ 1 A graphing calculator is required for the following problem. (0, 10) (-3, 1) (3, 1) Let f(x) = log(x² + 1), g(x) = 10-x², and R be the region bounded by the graphs off and g, as shown above. a) Find the volume of the solid generated when R is revolved about the horizontal line y = 10. b) Region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is an isosceles right triangle with a leg in R. Find the volume of the solid. c) The horizontal line y = 1 divides region R into two regions such that the ratio of the area of the larger region to the area of the smaller region is k:1. Find the value of k.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

Topic Video

Question

Please answer completely. Schools about to finsh and i really need help with my classes. I still have Ap Gov left and Calculus so it would be very helpful if you answer all parts of this. Thank you.

FRQ 1
A graphing calculator is required for the following problem.
10, 10)
(-3, 1)
(3, 1)
Let flx) = log(x? + 1), g(x) = 10 – x², and R be the region bounded by the graphs of f and g, as shown
above.
a) Find the volume of the solid generated when R is revolved about the horizontal line y = 10.
b) Region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is an
isosceles right triangle with a leg in R. Find the volume of the solid.
c) The horizontal line y = 1 divides region R into two regions such that the ratio of the area of the
larger region to the area of the smaller region is k:1. Find the value of k.

Student Guide (continued)
FRQ 2
A graphing calculator is required for the following problem.
8
10
15
_(hours)
R(t)
(railcars)
6
62
80
110
A grain elevator fills each railcar of a train with grain. The number of railcars filled after t hours is given by
a differentiable function R for 0 sts 15. Values of R(t) at various times t are given in the table above.
a) Use the data in the table to approximate the rate at which the number of filled railcars is changing
at time t = 5. Show the computations that lead to your answer. Indicate units of measure.
b) Will the instantaneous rate at which the number of filled railcars is changing at some time t be
equal to the approximation in part (a)? Justify your answer.
c) Use a trapezoidal sum with the four subintervals indicated in the table to estimate * R(t)dt.
Using correct units, interpret the meaning of * R(t)dt in the context of this problem.
d) Determine °R'(t)dt. Using correct units, explain the meaning of the expression in the context
of this problem.

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