Calculus question and answers for November 19, 2023
- Q Based on the graph of the trigonometric functions f (?) = 4sin? + 3 and g(?) = cos 2?, at what value(s) on the interval [0, 2?) does f(?) =...
- Q Given that g(x) = x-4/x+3, find each of the following.a) g(5) b) g(4) c) g(-3) d) g( - 11.75) e) g(x+h)A. g(-3)= (Simplify your answer.)B. g(-3) does not exist.C. g(-3)...
- Q Find the intercepts and then use them to graph the equation.2x + 4y = 8Use the graphing tool to graph the line. Use the intercepts when drawing the line. If...
- Q There is an angle such that cos(?)= 4/7 and 3?/2 ? ? ? 2?. Find the values of the other five trigonometric functions of ?. (There is no equation option,...
- Q Suppose that 4 - x ? f(x) ? cos(x) + 3. Find lim f(x) ...
- Q If m<A = 56, m<B = 60, and c = 8, what is the measure of side length b?
- Q Which of the following shows the simplified function of sin x/1- cos x
- Q Find the monthly house payments necessary to amortize a 9.6% loan of $293,700 over 25 years.
- Q Use polar coordinates to find the volume of the solid inside the sphere x + y + z = 16 and outside the cylinder x + y = 4.
- Q There is a building that is known to be 200 feet tall. I walk a certain distance away and find that the angle of elevation to the top of the...
- Q How many numbers are there between 100 and 1000 in which the sum of digits is equal to 3 ?(a) 6(b) 8(c) 9(d) 12
- Q For the equation y=-2 3x + 2a. Find y when x is 0.y= b. Find x when y is -1.x=c. Find y when x is -3.y =
- Q Let S be a circle with centre O and radius 2. A and B be two points on the circle. ?AOB=x, tangents at A and B intersect at D and...
- Q A polynomial P is given. Find all zeros of P, real and Complex. Factor P completely.P(x) = x + 4xP(x) = x - 2x + 2xP(x) = x + 2x...
- Q Consider the angle -81? 8 radians.The angle between 0 and 2 in radians that is coterminal with the angle -81? 8 radians isThe angle -81? 8 is in quadrantThe reference...
- Q Make correction to the following operations/steps. Do not solve.log? x - log? (x + 1) = 1log2 (x x+1) = 12log? (x x+1) = 1You may use fx to type...
- Q Frank is putting 12 colored light bulbs into a string of lights. There are 6 blue light bulbs, 2 red light bulbs, and 4 pink light bulbs. How many distinct...
- Q Solve the equation for x. Give your answer to two decimal places.Then use a graphing calculator to verify the solution by graphing both sides of the equation.14/log? (10)-log (x-3) =...
- Q Use a graphing calculator to graph both sides of the equation.-6 log6 (4-x) = -5Based on the graph, what is the solution? Give your answer to two decimal places.
- Q Use the one-to-one property of logarithms to solve.log (x + 4) - log(x) = log (54)
- Q Determine the following limit. Enter DNE if a limit fails to exist, except in case of an infinite limit. If an infinite limit exists, enter ? or -?, as appropriate.lim...
- Q Given the function P(x) = -7(x ? 7)6(x + 4)7(x ? 5),its roots areand their multipicities are
- Q The first term and a recursive formula for a geometric sequence are given. Find a10.a? = 6, an = -2an-1a10=
- Q Give the first four terms of the sequence.an= 96 nn (n ? 1)!
- Q Give the first five terms of the sequence.a1 = 9, an = an-1 + 3n
- Q Find the first five terms of the geometric sequence given the first term and common ratio.a? = 6, r= 0.3
- Q Give the first five terms of the geometric sequence.an=-4.4n-1
- Q Give the first eight terms of the sequence.a? = -1, a? = 4, an = an-2 (3-an-1)
- Q Give the first eight terms of the piecewise sequence.an = (-2)n - 4 if n is even4n-1 if n is odd
- Q Two terms of an arithmetic sequence are given. Find the first five terms.a1 = 10, a7 = -44
- Q Find the common ratio for the geometric sequence.2, 10, 50, 250, 1250,...
- Q Is the sequence geometric?4, 4.4, 4.8, 5.2, 5.6,...If so, enter the common ratio. If not, enter "No".
- Q Is the sequence geometric?5, 9, 13, 17, 21,...If so, enter the common ratio. If not, enter "No".
- Q Give the first five terms of the geometric sequence.a1 = -96, an = -1 2an-1
- Q Two terms of an arithmetic sequence are given. Find a4.a? = 22 a7=70
- Q Is the sequence arithmetic?{42, 38.7, 35.4, 32.1, 28.8,...}If so, enter the common difference. If not, enter "No".
- Q Use the explicit formula to find the first five terms of the arithmetic sequence.an =1 5n - 1 5for n = 1, 2, 3,...
- Q Find the intercepts and the vertical asymptote off(x) = x2-3x-4x-5Enter the intercepts as points, (a, b).
- Q Sketch the graph of a function f that is continuous on [1, 8] and has the given properties.absolute maximum at 3, absolute minimum at 8, 7 is a critical number...
- Q Compute the following values for the given function.g(u, v, w) = uevw + veuw + weuvu+ v + wg(2, 3, 1) =g(1, 3, 2) =
- Q The system of equations of y = 2x 2y = 4x represents what kind of system?(What could it be classified as?)Inconsistent SystemConsistent Dependent SystemConsistent Independent SystemInconsistent and Independent System
- Q The values of a and b for which the function2x+1, if x?1f(x) = ax +b if 1<x<3 is continuous every5x + 2a if x ? 3where(a) a= 2, b=1 (b)...
- Q Find h(x, y) = g(f(x, y)).g(t) = t + In(t), f(x, y) = 5-xy 2 + xyh(x, y) =Find the set of points at which h is continuous.D = {(x,...
- Q If f'(x) = 1 3-x and f(0) = 1 then the lower bound and upper bound of f(1) estimated by mean value theorem are(a) 1, 1.2 (b) 1.33, 1.5(c) 1.5,...
- Q Write the expression in algebraic form. [Hint: Sketch a right triangle, as demonstrated in Example 3.]cos(arcsin 3x)
- Q Solve the equation for x. (Round your answer to three decimal places.)arctan(4x - 6) = -1x =
- Q An investor needs $24,000 in 18 years.(a) What amount should be deposited in a fund at the end of each quarter at 8% compounded quarterly so that there will be...
- Q Suppose f(x) = x + 4 and g(x) = x + 2. Calculate f(-4) g(2)Give your answer as a decimal rounded to 2 places after the decimal point.
- Q Solve the equation for x.arctan (7x- 9) = -1Step 1The original equation arctan (7x - 9) = -1 specifies the arctan of an expression. To solve it, take the tangent...
- Q 3. In each of the following, use the Gauss-Jordan method as described in the online tutorial system.Note Successive steps in the process will only become visible as you progress,(a) Consider...
- Q (a) Trivially parametrize the function f(x) = x +2.(b) Construct a table of t, x, and y values with t ranging from -2 to 2.(c) Draw the graph of this...
- Q Find the Maclaurin series for the following functions.(a) f(x) = sin(x)/xHint: Just multiply the Maclaurin series for sin(x) by 1/x.(b) f(x) = ex(c) f(x) = cos(x)/x
- Q A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1- x. What are the dimensions of such a rectangle withthe...
- Q 4. Determine the vertical asymptotes of the graph of the function f(x) = sec ? x. At each vertical asymptote, find the one-sided limits.5. Determine the vertical asymptotes of the...
- Q Evaluating a piecewise-defined functionSuppose that the function f is defined, for all real numbers, as follows.f(x)= -4, if x < -2(x-1)-2. if -2?x?2-2, if x > 2Find f(-3), f(1), and...
- Q Suppose that x = x(t) and y = y(t) are both functions of t. If x + y = 29,and dx/dt = -1 when x = 2 and y =...
- Q Translate each graph as specified below.(a) The graph of y = f(x) is shown. Translate it to get the graph of y = f(x+3).(b) The graph of y = g(x)...
- Q Discuss algebraically the continuity of the function f(x)=(x-1)/(x-4x+3). How many discontinuities does it have? Which one is removable or nonremovable and why?
- Q If f(x)=(x + 5x + 5)?, thenf'(x) ='(4) =
- Q The formal definition for the derivative of f(x) at x = a isf'(a) = lim f(a+h) f(a)/h h?0(1) Find the Taylor polynomial of order 5 about...
- Q Which of the following is the simplified expression of 1-1/csc x?cosx-cosxtanx-tanx
- Q Find the limit. Use l' Hospital's Rule where appropriate. If there is a more elementary method, consider using it.lim (5x-In(x))x??
- Q A veterinary researcher is studying a particular type of dog called the Australian Cattle Dog. The researcher has acquired data on a sample of 30 dogs, including the weight in...
- Q Find the difference quotient f(x+ h)-f(x)/(h), where h ? 0, for the function below. f(x)=-x-2x+5Simplify your answer as much as possible. f(x +h)-f(x)/(h)=
- Q Which restriction on the domain of y=sin x results in a function whose inverse is also a function? Check the three that apply.y = sin x, 0?x??y = sin x,...
- Q What are all the solutions to the equation cosx sin x=1/2
- Q If a family had three children,Find the probability that at least two of the three children is a girl.3/84/87/8None of theseFind the probability that at least one of the three...
- Q Which statement is true for all real values of ??sec?- tan? = 1tan?-sec? = 11 - tan? = sec?tan? - 1 = sec?
- Q Find the difference quotient f(x+ h)-f(x)/(h),where h?0, for the function below.f(x) = 3x + 4xSimplify your answer as much as possible.f(x +h)-f(x)/(h)=
- Q It Cos?=-4/5 and sin?=3/5, compute each of the following valuescot?=sec?=cos(?+?)=sin(?+2?)=tan(?-?)=
- Q Suppose that the function f is defined, for all real numbers, as follows.f(x)= x-3 if x?2 -5x+4 if x > 2Graph the function f. Then determine whether...
- Q Given the equation y = 4 sin(5x - 35) + 2The amplitude is:The period is:The horizontal shift is:The midline is: y =
- Q The model for long-term average temperature f (x), in degrees Celsius, at the Willburn airport is represented by the equation f(x) = 5 cos(x/12)+14.5 represents the month of the year,...
- Q The numbers y of commercial banks in the United States from 1999 through 2009 can be modeled byy = 13,107 2077.6 In t, 9 ? t ? 19. where...
- Q What is the degree of the given polynomial?a) f(x)=3x-5b) f(x) = 5x? -3x +7c) f(x)=(2x-5)(x-2)(x+1)d) f(x) = 4(x-3)(x+1)^5(x-11)
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!