Calculus question and answers for October 01, 2023
- Q Find the exact value of sin 0 5T by using a sum or difference formula 12 3 1
- Q Minimum Wage Hour 1190765432 0 1984 Ontario Minimum Wage 1988 1992 1996 2000 2004 2008 2012 Year a Explain the general trend of the graph b How much has minimum...
- Q 8t y 25y e The general solution will be 5t y t c e t c e 5t
- Q Find the derivative of the function F x F x x e X dt 869
- Q et dt Find an equation of the tangent line to the curve y F x at the point with x coordinate 4 Let F x
- Q The velocity function in meters per second is given for a particle moving along a line v t t 2t 8 2 t 6 a Find the displacement in meters...
- Q If the units for x are feet and the units for a x are pounds per foot what are the units for da dx O feet per pound per pound...
- Q DETAILS 0 1 Points Find the general indefinite integral Use C for the constant of integration Remember to use absolute values where appropriate X PREVIOUS ANSWERS SCALCET9 5 4 015...
- Q 0 1 Points DETAILS PREVIOUS ANSWERS SCALCET9 5 4 005 Find the general indefinite integral Use C for the constant of integration 5x4 6x 3 dx x 3x 3x C...
- Q Find the limit Hint Treat the expression as a fraction whose denominator is 1 and rationalize the numerator Use a graphing utility verify your result lim x x 4
- Q Factor the GCF out of the following expression and write your answer in factored form 91x 0 39x5
- Q Find the GCF of the following three monomials 39x5y 12x y 42x y
- Q Write the trigonometric expression in terms of sine and cosine and then simplify Ponoro cot 8 CSC 0 sin 0 COS 0
- Q 4 Find inverse of the matrix 1 3 3 A 1 4 3 C
- Q Soru 10 Puan A table of values for a function fis given below t f t A 7 0 1 B 14 2 2 Use 3 rectangles and right endpoints...
- Q Soru 10 Puan Find the area of the surface generated by revolving the curve y 9 x 2 x 2 about the x axis A 12 B 48T C 6...
- Q Soru Evaluate the integral 0 x 4 dx 3TT C 3 16 A 10 Puan A B k D H8 E TU 16
- Q Condsider the following system of equations 2 3 0 DO 670 J 7 2 LZ 6 0 Find the value of y using Cramer s Rule You don t need...
- Q In Problems 11 13 sketch the graph of the function by finding its domain intercepts asymptotes intervals of increase or decrease local maximum and minimum values intervals of concavity and...
- Q 64 Find the closets point on the parabola y x to the point 16 2
- Q I 4 59 Sketch a graph of a function that satisfies all the conditions that follow lim f x 2 lim f x 4 f 2 1 lim f x...
- Q If 0 a 5T find the exact value of each expression below cos e 0 b cos 20 c cos 8 0 3 16 X G
- Q 60 Sketch a graph of a function that satisfies all the conditions that follow lim f x 3 lim f x 0 f 0 4 lim f x 1 lim...
- Q he profit function in millions for a beverage company for the years 2010 through 2016 can be approximated by f x 26x 780x 4879 where x 10 corresponds to the...
- Q h t COS T cos t Step 3 As previously noted the given function f t 6t sin nt is the product of two differentiable functions of the form f...
- Q Evaluate f c at the point f x In 4x 3 c 1 OA f 1 16 OB f 1 0 OC f 1 4 OD f 1 1
- Q We are given the function f x sin 8 In x To write this is the form F x h g x we can let g x 8 In x...
- Q Find the derivative of the function f t 6t sin nt Step 1 We note that the given function f t 6t sin nt is the product of two differentiable...
- Q Find the equation of the tangent line to the graph off at the given point f x In 1 7x7 at 0 0 The equation of the tangent line to...
- Q or the function shown in the graph list the intervals on which the function is increasing the tervals on which it is decreasing and the location of all local extrema...
- Q For the function below find a the critical numbers b the open intervals where the function is increasing and c the open intervals where it is decreasing f x 2x...
- Q Step 2 du We let u nt and we determined that I dt Applying these to the result from the chain rule for y sin u gives us the following...
- Q Use the quotient rule to find the derivative of the function 2x 2 1 X 5 dy y
- Q The differentiable functions f and g are defined for all real numbers x Values of f f g and g for various values of x are given in the table...
- Q 10 Give the accurate definition of a concave upward and a concave downward curve Illustrate each case with a picture
- Q Consider the following function 5 1 8t 1 Simplify by rewriting F t using a negative exponent and no fractions F t F t Find the derivative of the simplified...
- Q f x f a 2 a for derivative of 5 Explain precisely using a picture where the formula f a lim I a a function f x at a number...
- Q 218 14 lim n n 32 n 3 n 36 n 3 n n 32n
- Q 21 f x 24x7 sin x 4 sec r tan r f 0
- Q 1 p 286 10 Minimize c 0 4x 0 1y subject to 30x 0 1 0 2x 0 3y x 0 y 0 20y 0 4y 0 4y IV 600...
- Q 3 Find the volume of the solid generated by revolving the region bounded by y x and th lines y 1 x 5 about the line y 1
- Q Find the y intercept and slope of the lin y 2 3
- Q Consider the Cobb Douglas Production function P L K 16L0 8 K0 2 Find the total units of production when L 15 units of labor and K 13 units of...
- Q Suppose that f x y x y xy E Then the minimum is
- Q The graph of f x 2x 15x 84x 21 has two horizontal tangents What is the negative value of a where a horizontal tangent occurs What is the positive value...
- Q Evaluate the limit lim h 0 Type your solution in the space provided along with sufficient dtails showing what you did in each step 3 h 27 h
- Q Given 8 3 and x 9 find all x such that the distance between these two points is 13 Separate multiple answers with a comma Answer M
- Q Evaluate the limit Type your solution in the space provided and include details about what you did in each step lim x 3 sin x 3 x 3
- Q Find the perimeter of the triangle whose vertices are 4 1 3 0 and 1 4 Write the exact answer Do not round 4 Answer
- Q Given f x y 100x 70y 3x 4y xy 2 Evaluate f 6 8 f 6 8
- Q f ftt Let g x f t dt where f is the function whose graph is shown 1 9 6 3 3 y 4 5 3 g 15 22 5...
- Q Write a in the form a T aN N without finding T and N r t c cos t i csin t j dtk
- Q Nm kg Find the length of the major axis of Earth s orbit using Kepler s third law and the fact that Earth s orbital period is 365 256 days...
- Q the speedometer on your car reads a steady 35 mph Could you be accelerating Explain hoose the correct answer and explanation A Yes On a curved path the velocity always...
- Q Evaluate the integral 3 2 for 1 31 x 2 dx
- Q Use part one of the fundamental theorem of calculus to find the derivative of the function 1 h x h x 4 In t dt
- Q Find the general indefinite integral Use C for the constant of integration 1 sin 2x dx sin x
- Q 120 If oil leaks from a tank at a rate of r t gallons per minute at time t what does 120 the change in the rate of oil that...
- Q 80 Suppose the demand function for x thousand of a certain item is p 100 where x 1 and p is in dollars In x a Find the marginal revenue...
- Q V 5 20 The volume of a cube with sides of length s is given by Find the rate of change of volume with respect to s when s 13...
- Q 18 Determine all values of x if any at which the graph of the function has a horizontal tangent y x x 6x 3 x 0 b x 4 c...
- Q The life span of a certain insect in days is uniformly distributed over the interval 16 28 A What is the expected life of this insect B Find the probability...
- Q Find the derivative of the following function y 85x 1 dy dx
- Q 11 Find all values of c such that fis continuous on f x 4 x x c 5x x c 1 a b c 0 c 5 41 2 d...
- Q the following differential equation find the integrating factor the general solution and the particular solution satisfying the given initial condition y y 42x6ex y 0 15 The integrating factor is...
- Q 5 Suppose that x lim f x g x a 11 b 16 C lim f x 5 16 d 5 e 55 lim g x 11 and x Find...
- Q 4 Let f x 5x 2 lim g f x x 4 a 1 264 b 256 c 1 282 d 234 25 6 e 16 and g x x4...
- Q 27 Consider the following a Find an approximation to the integral using a Riemann sum with right endpoints and n 8 R8 9 8 7 x 2x b Draw a...
- Q The graph of a function f is given YA 10 1 70 Estimate 1 0 1 f x dx using five subintervals with the following a right endpoints b left...
- Q The graph of a function g is shown Estimate a right endpoints b left endpoints YA c midpoints 0 19 x g x dx with six sebintervals using the following...
- Q The Student Government Association is making Mother s Day gift baskets to sell at a fund raiser If the SGA makes a larger quantity of baskets it can purchase materials...
- Q Determine the extreme values of the function F x on the closed interval 1 5 if F x Show your work Selected Answer Docponso 3 x 3x S 2 3...
- Q Find the derivative of the function f x In 3x 2 4x 5 F xv
- Q Find the derivative of the function dx y 5e x 4 11
- Q Graph of f x is shown Determine all critical numbers the nature of each critical number i e local maximum local minimum or neither and intervals of increase decrease of...
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