Calculus question and answers for July 19, 2023
- Q 17 Find the value of log2 A 212 112 B C 2 D 2
- Q Suppose you know that terms of A and B 7B O 3 O 7B 6A A B 6A ZA A 7B 2 dz A and f dx 1 32 72...
- Q 2 Find the volume of the solid region bounded by the graphs of the equations z 9 x y 3x y 3 x 0 y 0 z 0
- Q xample 1 1 Sex dx Use the CSR Asw with n 8 to approximate 113 0 0315
- Q 2 Given f x 4x 5 and g x x 5 write an equation for g f x g f x 4 x 5 5 g f x 2 x...
- Q Use the piecewise function to evaluate the following H a f 4 a c f 3 e f 0 b f 1 d f 2
- Q Evaluate the line integral 0 3 0 2 03 2 01 02 2 3yzds where Cis the curve with parametric equations 2 t y sint z cost 0
- Q 5 4 3 2 4 3 2 1 y 2 3 4 5 12 3 4 5 Find the inequality represented by the graph I
- Q Evaluate the line integral PF dr by evaluating the surface integral in Stokes Theorem with an appropriate choice of S Assume that C has a counterclockwise orientation when C F...
- Q Evaluate the surface integral f x y z ds using an explicit representation of the surface S f x y z 4xy S is the plane z 1 x y...
- Q Select the equivalent expression 1 3 p 12
- Q Find the area of the surface of the half cylinder r 0 z r 3 0 0sx 0 zs 7 using a parametric description of the surface Set up the...
- Q and the area of the following surface using the given explicit description of the surface z 3 x y2 for 0 sz 108 The paraboloid z Set up the surface...
- Q Use the Binomial Theorem to expand and simplify the expression y 9 4
- Q 11 Find t e 3x dx a c diverges 0 b d
- Q 18 The region between the curve y x 0 x 4 and the x axis is revolved about the x axis to generate a solid Find its volume a c...
- Q 9 5 points Use the limit process to find the area of the region bounded by the graph of the function and the x axis over the given interval y...
- Q 4 Find the area of the region enclosed by r 2 cos 0 a b 7 4 c 4 9 2 FORT HUBERT S d 5T
- Q Evaluate the definite integral f2r x 1 dx
- Q Let R be the region in the xy plane bounded between y 4 x and y 1 x Set up an integral that is equal to the volume of the...
- Q As blood moves through a vein or an artery its velocity v is greatest along the central axis and decreases as the function of r is called the law of...
- Q 27 Find a formula for the nth term of the arithmetic sequence 6 2 2 6 10 OA 6 4n B 6 2n O C 10 2n D 10 4n
- Q The formula A 21 20 0409 a What was the population of the state in 2000 b When will the population of the state reach 29 8 million models the...
- Q 4 Find P a da P x dx for k 2 3 4 5 and 6
- Q 6 10 pts Use Stokes Theorem to evaluate the integral f F dr where x y z ayi z2j 3y2 k and C is the trace of the cylinder z...
- Q c Consider the solid in the first octant cut off from the square cylinder with sides x 0 x 1 y 0 and y 1 by the plane x y...
- Q Use the surface integral in Stokes Theorem to calculate the flux of the curl of the field F across the surface S in the direction away from the origin F...
- Q Find the domain of f and write your answer in interval notation f x 2x 9 x 12x 32
- Q The region R in the first quadrant is bounded by the graph of y = tan(x), the x-axis, and the vertical line x = 1. What is the volume of...
- Q What is the third term in the binomial expansion of 3x y 4 O 54x O 18x y3 O 18x 6 O 54x y6
- Q For the polynomial function below, answer parts (a) through (d).(a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept....
- Q 1. Evaluate the iterated integral:3 ?9-x^2? ? (x + y)dy dx0 -?9-x^2
- Q Evaluate the definite integralS 8 sin(x)dz
- Q Let f(x, y) = x sin(x + y) +x+y for z, y (-00, 00). Which of the following statementis true?(a)9(b) f(x, y)dy = -x cos(z + a) + x cos(x)...
- Q If["* f(z)dz = [ f(z)dz + ["* f(z)dz -2what are the bounds of integration for the first integral?0=andb=e-,f(t)dt,
- Q How many significant figures are in the number 21.2?21.2 has [?] significant figures.
- Q If 5 is the hemisphere a + y +2= 25 with z>0 then the surface integalf(x-2y)ds is__
- Q Solve the following system of equations (use any method):2x-5y=11-3x+4y=-13O (-2,-3)O (3.-1)O(-3.1)
- Q The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method.x = (y - 6), x = 25;...
- Q Apply Laplace transform method improper integral from 0 to infinity?e^-3t sint cost dt
- Q Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis.x = 4y, y ? 0, x...
- Q What is the amplitude of thefollowing function?y = 0.918 cos x
- Q (0.00/1.00 point)Use a system of linear equations with two variables and two equations to solve. A concert manager counted 350 ticket receipts the day aftera concert. The price for a...
- Q Solve the equation by applying the square root property. If there is more than onesolution, enter them in order from smallest to largest. Be sure to write a set as...
- Q Solve the equation, then select all true statements about the equation.4(x-7)= 4x - 28a) The solution set is the empty set.b) The equation is a conditional equation.c) The solution set...
- Q 9. Use the washer method to the find the volume of the solid of revolution formed byrevolving the region between y = r and y = ? around the z-axis....
- Q Determine the volume of the solid generated by rotating function f(z) =[4,10].100-z about the x-axis on-
- Q Givenc (x is number of items)Demand function: (z)Supply function: a(z)=2./2Find the equilibrium quantity:2200Find the consumers surplus at the equilibrium quantity: 9
- Q 18A company's marginal cost function iswhere x is the number of units.Find the total cost of the first 49 units (of increasing production from x=0 to x=49)Total cost: S
- Q =Sketch the region enclosed by y = 7x and y6x2. Find the area of the region.
- Q 10. Use the washer method to the find the volume of the solid of revolution formed byrevolving the region between y = 1 and y = r around the r-axis....
- Q A curve has equation y = f(x).(a) Write an expression for the slope of the secant line through the points P(7, f(7)) and Q(x, f(x)).f(x) - xf(7)-7OO X-7f(x)-f(7)Of(x)-f(7)x-7Of(7) -7f(x)X(b) Write...
- Q 11. Use the washer method to the find the volume of the solid of revolution formed byrevolving the region between y = r and y = x + 2 around...
- Q 4. Determine the area of the region bounded between the two curves y = 1 and y = r- 3.Draw a sketch of the situation to help determine the upper...
- Q Enter a whole or decimal number, or DNE for does not exist of undefined.lim2-09I(2+15=9)-(0
- Q Solve sin(x)There are two solutions, A and B, with A<BA =__ 0.6 on 0 < x < 2?B =Give your answers accurate to 3 decimal places
- Q All edges of a cube are expanding at a rate of 4 centimeters per second.(a) How fast is the volume changing when each edge is 1 centimeter(s)?cm/sec(b) How fast is...
- Q Use interval notation to express the inequality shown in the graph.-12-10-8OA. [4,00)OB. (4,00)OC. (-?0,4]OD. (-?0,4)-6Select the interval notation below that is represented by the graph.-2...02468
- Q Draw the following graph on the interval - 135 < x < 75:y = cos(-2x)
- Q 10. Consider the length of the graph of f(x) ===from (1,5) to (5,1). Approximate the length by finding the sumXof the lengths of 4 line segments, as shown in the...
- Q 1321a =To find the blue shaded area above, we would calculate:S.Where:f(x) dx = areaf(x) =2 3 4Area =b=
- Q Write the equation of the ellipse with center at (-3, 5), horizontal minor axis length of 14, and c-6?2. Show at least one line ofwork and then write the equation...
- Q Find the volume formed by rotating the region enclosed by:y = x + 1, the y-axis, and y = 10about the y-axis
- Q If510["* f(z)dz = " [? f(a[ (x)dx + [ f(x)dx ? f(x)dx,35what are the bounds of integration for the first integral?a=andb =
- Q m[ f(x) dx = 1/1/1Let x be a continuous random variable over [a,b] with probability density function f. Then the median of the x-values is that number m for which...
- Q (1 point) Find the Laplace transform ofF(a) =.f(t)=-5us(t) + Gua(t)-3us(t)
- Q Evaluate1 cos(x)ln (1 + x) + x2.81+ el.75a-43.1S (-dx.
- Q Find the area enclosed by the closed curve obtained by joiningthe ends of the spiralr = 10,0 ? 0 ? 5.8by a straight line segment.
- Q Convert the polar coordinateEnter exact values.X =y =3,3?T4to Cartesian coordinates.
- Q The functions fand g are defined as follows.g(x)=-2x-3f(x)=-5x+2Find f (5) and g (-3).Simplify your answers as much as possible.f (5) = []g (-3) = 08X
- Q Express the limit lim(2(7) - 3(a)) Aa, over [2, 4] as an integral.[ f(a)dx.Provide a, b and f(x) in the expressiona=b, f(x)
- Q Suppose f''(x) = -54x +36 sin(2x), f'(0) = -9, and f(0) = -1.Then f(x) =
- Q Find the area inside one leaf of the rose:r = 5 sin(40)
- Q 2This figure shows segments of the graphs of y =2??daO?10dx?f ?10dx10So ?dx3These line segments are congruent; their lengths are equal.Which TWO integral expressions can be used to calculate the length...
- Q Convert the Cartesian coordinate (6,-4) to polar coordinates, 0? 0 < 2?, r> 0Enter exact value.0
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