Calculus question and answers for July 18, 2023
- Q What is the total change of f(x) if f'(x)=sin(x) from [0, ?]?
- Q R is the region bounded by the functions f(x) = 1 - 2Vx and g(x) = -(2x/5) - (3/5). Find the area A of R. Enter an exact answer.Provide your...
- Q A cylindrical can is being filled at the rate of dh/dt = 3t, h(t) describes the height of the contents. Use an integral to write a formula which describes how...
- Q R is the region bounded by the functions f(x) = 10/x and g(x) = x/10. Find the area of the region bounded by the functions on the interval [7, 10].Enter...
- Q Find the derivative, g'(x), of g(x) = ? cost dt using two different methods as directed:(a) Find the definite integral for g(x) using FTC2, then take the derivative to...
- Q Assume v(t) = 5t - 15 on the interval [0, 6]. Find the total distance that the objecttraveled on [0, 6].An object moves along a line, where its velocity function...
- Q If an object is moving along a linear path with v(t) = 3t + 3t - 5. At time t =0 the position of the object is 6. Write the...
- Q R is the region bounded by the functions f(x) = (5x/2)-2 and g(x) = x - 8 over the interval [a, b] where a = 1 and b = 4....
- Q R is the region bounded by the functions f(x) =11/(-1 + x) and g(x) = x 11 . Find the area of the region bounded by the functions on the...
- Q How many solutions exist for the equation cos 2? - sin? = 0 on the interval [0, 360)?O 0O 1O 2O 3
- Q List the potential rational zeros of the polynomial f(x) = 3x? x+2x+18.
- Q R is the region bounded by the functions f(x) = 3 - 2 sin (x) and g(x) = cos (x). Find the area of the region bounded by the functions...
- Q R is the region bounded by the functions f(x) = 2 - 3 cos (x) and g(x) = 3 sin (x). Find the area of the region bounded by the...
- Q R is the region bounded by the functions f(x) = 11/-1+x and g(x) = x - 11. Find the area of the bounded by the functions on the interval [8,...
- Q R is the region bounded by the functions f(x) = 5?(x-1) and g(x) = (5x/3) + (7/3). Find the area A of R.Enter an exact answer.Provide your answer below:A =...
- Q R is the region bounded by the functions f(x) = -(3x/2) - 10 and g(x) = (x/2) + 6 over the interval [a, b] where a = -5 and b...
- Q Analyze and then sketch the function 3x/(x^2 + 7x + 2).> Determine the interval of increasing/decreasing and the concavity.SHOW YOUR WORK |3x^4 - 17^3 +...
- Q R is the region bounded by the functions f(x) = -3x 3 and g(x) = - (9x/4)+ 3 over the interval [a, b] where a = -2 and b =...
- Q R is the region bounded by the functions f(x) = 4?x - 4 and g(x) = x - 1. Find the area A of R.
- Q R is the region bounded by the functions f(x) = 1 2 cos (x) and g(x) = 4 sin (x). Find the area of the region bounded by the functions...
- Q R is the region bounded by the functions f(x) = -2x + 6 and g(x) = -x/2 - 3 over the interval [a, b] where a = 2 and b...
- Q R is the region bounded by the functions f(x) = 14/(-1 + x) and g(x) = 2x - 14. Find the area of the region bounded by the functions on...
- Q Let f(x, y) = ?1 -x+y.(a) Determine the domain of f.(b) Identify the level curves and cross sections of f as conic sections (no sketches required).
- Q R is the region bounded by the functions f(x) = 1 4?x and g(x) = -(4x/3) - (5/3).Find the area A of R. Enter an exact answer.
- Q R is the region bounded by the functions f(x) = 3 - 2 cos (x) and 8(x) = 2sin(x). Find the area of the region bounded by the functions on...
- Q R is the region bounded by the functions f(x) = (12/x) and g(x) = (x/12). Find the area of the region bounded by the functions on the interval [1, 12].Enter...
- Q R is the region bounded by the functions f(x) = 1 - 2cos(x) and g(x) = 4sin(x). Find the area of the region bounded by the functions on the interval...
- Q Let f(x)=1/xThe graph of f is given below.Determine the following function value. Enter DNE if the function is undefined at x = 0.f(0) =______
- Q Please Simplify as instructed. sec(t) cos(t) = (A) _________________ ( using sec(t) = 1 / cos(t) )(B) _________________( adding using common denominator )(C) __________________( Using sin(t) +...
- Q What is the exact value of tan (5?/6)?a. ?3b. -?3c. ?3/3d. -?3/3
- Q What is the area of AABC such that b = 28 centimeters, c = 16 centimeters, and m?A= 25?a. 203.013 centimetersb. 189.333 centimetersc. 94.666 centimetersd. 29.647 centimeters
- Q Use the Integral Test to determine whether the infinite series is convergent.?? n=1 1/(n+1)??? n=1 1+3?? n=1 n?/?? n=5 1/?n-4?? n=25 n/(n + 9)?/?? n=1 n/(n + 1)/?
- Q After 20 years, how much money will be in a fund that starts with $2500, and grows at a nominal rateof 6% per year, assuming the money is compounded:(a) Annually?(b)...
- Q The interval in which the function f given by, f(x) = x - 4x + 6 is increasing is(A) (-?,2)(B) (2,?)(C) (0,?)(D) None of these
- Q Let R be the region in the first quadrant bounded below by the parabola y = x^2 and above by the line y = 2. Then the value of ??...
- Q Find the average value fave of the function f on the given interval.f(x)=?x,[0, 16]
- Q Decide from the graph whether or not the integral ? e^(-4x)dx might converge. If ...
- Q Find the average value have of the function h on the given interval.In(u)Uhave11h(u): =[1, 7]
- Q Analyze and then sketch the function Ax/x+Bx+E(a) Determine the asymptotes. [A, 2](b) Determine the end behaviour and the intercepts? [K, 2](c) Find the critical points and the points of inflection....
- Q Evaluate each integral using a substitution. Clearly show the full substitution and be sure your limits always match the variable of integration.(a) ?(1+tant) sec t dt [0,?/4](b) ?e^ x/1+e^...
- Q The angle is labeled below.Find cos(beta).Give your answer in exact decimal format.
- Q A curve passes through the point (0, 9) and has the property that the slope of the curve at every point P is twice the y-coordinate of P. What is...
- Q Evaluate the definite integral.??3/3 1/1+9x dx
- Q The region in the first quadrant between the curve y =. 2x and the curve y -?x +5, is rotated about the x-axis. Find the integral for the volume of...
- Q Estimate ?(sinx + cosx + 5)dx to 3 decimal places by using a left-hand Riemann sum with four subdivisions. How far from the exact value is your estimate?
- Q Evaluate the definite integral.?5/(1-25x^2)^(1/2)
- Q Is the set of functions {1, sin x, sin 2x, sin 3x, ...) orthogonal on the interval [-?, ?]? Justify your answer.
- Q A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine themean SI score, ?, for...
- Q Graph the region bounded by the functions y = x and y = x + 2, set up and evaluate the integral that will give the area.
- Q Consider the solid region E bounded from above by the surface x+y+z=4, bounded from the sides by the surface x+y=9y and bounded below by the xy- plane(z=0 ). Sketch the...
- Q Let h(x) = 8/x + 1.Use the limit definition of the derivative to differentiate h.h'(x) =______Determine the slope of h at x = 8.h' (8) = ______
- Q Suppose sin x = 32/68 and x is an angle in Quadrant 1.Thencos x =tan x =
- Q The graph shown is produced by a vertical transformation and horizontal stretch or compression of y = 2 that passes through the point (2, 261).
- Q Evaluate the following integrals.(a) ? 4x + 1/(x-2)(x- 3) dx
- Q Suppose the graphs of y=4x-10x-9 and y=x + bx-21 intersect atx =2.Find all intersection points.__________(Enter your answer(s) as ordered pairs, separated by commas)
- Q Part 1:On a May 22, 2022, Tauri visits Boston and sees a flock of birds. The angle of elevation to the flock of birds is 14. If the flock of...
- Q A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copy editing, typesetting, and so on) at $56,000, and variable costs (printing, paper, binding, shipping) at $1.90...
- Q Find and simplify the expression if f(x) = x - 8.f(3x)= ________ (Simplify your answer.)
- Q The expression cos(?/2)cos(?/5) + sin(?/2)sin(?/5) can be rewritten as which of the following?A) cos(7?/10)B) cos(3?/10)C) sin(7?/10)D) sin(3?/10)
- Q Evaluate the integral ? (x+ 2x - 4) dx
- Q We can apply General Power Formula of Integration on which of the following integrals?(A) cschu sinhu du (B) coshu sinhu du(C) sinhu cothu du(D) cschu coshu du
- Q Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area.43. y = 3?x, 0 ?...
- Q Express the limit as a definite integral on the given interval.lim ?(sinxi/(1+xi))?x , [0,? ]
- Q The area satisfying inequality is divided into three parts with the same area. What is the value of the area of this entire area? The inequality is 3-3sin0<=r<=2+sin30(a)3^(1/2)-pi/3(b)4*(3)^(1/2)-4pi/3(c)2* (3)^(1/2)-2pi/3(d)5*(3)^(1/2)-5pi/3
- Q Find the derivative of the function ?x ??/4 ?tan?d?.
- Q Sketch the region enclosed by the curves and find its area: y = 12 - x, y = x - 6
- Q Evaluate the definite integral.0?1 cos(?t/2) dt0? 1 (1 + 7x)^(1/3) dx0? ?/6 sint/costdt
- Q Evaluate the ?(2+x)/?x dx [1,8] integralA particle moves along a line so that its velocity at time t is v(t) = t-2t-3, 2?t?4
- Q Find the distance of the centroid from the y - axis of the area bounded by the curve x = 16y, the line x = 13, and the x -...
- Q Find the abscissa of the centroid of the area bounded by the curve y=4-x, the line, x=1, and the coordinate axes.A) 27/44B) 31/44C) 21/44D) 29/44
- Q Michelle has 19 coins in her pocket. She has $2.00 made up of nickels, dimes and quarters. She has twice as many nickels as dimes. Write a system of equations...
- Q Given the following function equivalencies and the table of values below, evaluate the given derivatives.a'(x) = t(x)t'(x) = b(x)b'(x) = e(x)e'(x) = a(x) 0 ...
- Q Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.2x = y, x = 0, y = 5; about...
- Q Find the area of the region bounded by the curve r = a (1-sin?).A) (3/2)a?B) 2a?C) 3a?D)(2/3)a?
- Q Determine the distance of the centroid from the y - axis of the solid formed by revolving the bounded region by the curve x=4y and the line x = -...
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