Calculus question and answers for August 05, 2023
- Q x x7 9 7 This can be transformed into a basic integral by letting Consider the indefinite integral 7 U x 9 or and du 7x6 dx dx Performing the...
- Q felle a This can be transformed into a basic integral by letting Consider the indefinite integral U and 6x 4 dx
- Q Evaluate the integral dx I 6x 2 by making the appropriate substitution u dx 6x 2
- Q Evaluate the integral by making the given substitution Jsec 4 4x tan 4x dx U 4x
- Q Consider the indefinite integral U This can be transformed into a basic integral by letting du 3 f and da x 7 dx Performing the substitution yields the integral
- Q Evaluate the integral 5 32 fa 26 11 de by making the substitution u x x6 C 11 NOTE Your answer should be in terms of r and not u
- Q Given X f x So 0 At what value of a does the local max of f x occur t 49 1 cos t dt
- Q For the following function f find the antiderivative F that satisfies the given condition f t sec t F 0 1 F t
- Q Determine the following indefinite integral 3 2 24 1 dt S 3 1 214 dt
- Q Express the limit lim 7 80 Provide a b and f z in the expression a 2 z 3 z Az over 3 7 as an integral 7 1 1...
- Q Consider the function f x 42 3x 5x 7 An antiderivative of f z is F z Az Bz C Dz where A is and 13 is and C is...
- Q a 4 c 12 5 The co efficient of x in the expansion of 1 2x 3 x 1 a 56 c 154 b 3 d 6 x 1 3...
- Q Next question Let f z 82 z f z 20 z Get a similar question You 8 2 z Eden
- Q Write each equation in logarithmic form 3 C
- Q A B Integrating both sides indefinitely and using the fact that the integral of a sum is the sum of the integrals we find that D E d sin x...
- Q 2 3 4 5 6 7 8 19 20 21 A E b For each of the following functions use your work in a to help you determine the general...
- Q Find the following indefinite integral antiderivative Ins z Z dz
- Q Calculate the following integral We let u So du 1 8 x 8 7x 6 In 3x and then use the integration by parts formula to find that 2 In...
- Q 14 If sin A sin B 3 and angles A and B are acute angles what is the value of cos A B 13 a 12 b d 33 63
- Q Find a polynomial f x of degree 4 that has the following zeros 9 1 4 0 Leave your answer in factored form f x 0 4
- Q min f x XERd n n i 1 bi a x Fx X x log 1 ebila
- Q Match the following items On the unit circle with its center at 0 0 an arc with central point P 1 0 and terminal point T h length x
- Q ffe e 6 1 2 x 2cxy y b k and c are constants
- Q When solving using the method of separation of variables the 1D wave equation 0 x t 0 u z 0 0 u 0 t 0 u x t 0 we...
- Q 3 16 points Find the volume of revolution resulting from the region bounded by x y 2 and y x being revolved around the x axis Use the shell 3x...
- Q Let f 0 R be a bounded function Consider the functions g h 0 00 h x inf f y y r for every x 0 a 10 points Explain...
- Q Question 2 Consider the following Initial Value Problem 4y 20y 24y 48x 48x 48x 92 y 0 7 3 0 5 and let f x be the solution Find f...
- Q 7 Find the value of the sum k A 30 B 25 C 576 D 250
- Q Points 0 of 1 A ramp is to be built beside the steps to the campus library Find the angle of elevation of the 22 foot ramp to the nearest...
- Q 8 points Find the following indefinite integral antiderivative esa 1 6 e5r dx
- Q ind the most general antiderivative of the function Check your answer by differentiation Use C for the constant of the antiderivative f a 5 2e0 4q
- Q Element X is a radioactive isotope such that every 12 years its mass decreases by half Given that the initial mass of a sample of Element X is 900 grams...
- Q 3 Evaluate tan xdx a c tan x 3 tan x 3 tan x x C tan x C b d tan x 2 tan5x 5 tan x x C...
- Q 9 Find sinxdx a c xcos x 1 x C xsin x 1 x C b d xsin x 1 x C 1x 1 xsin x ln 1 x C
- Q 10 Find the area of the region enclose by the curves y x 2 y x x 0 and x 1 31 a 3 32 c H 3 b d...
- Q 13 Evaluate sin 5x cos 4x dx a c co cos x cos 9x C 18 cosx co 18 cos 9x C b d cos 5x c cos 4x C...
- Q 5 38 Find the sum of the geometric series 5 3 A 15 2 B 15 C does not exist 10 5 5 9 27
- Q ind the indefinite integral Remember to use absolute values where appropriate Use C for the constant of integra sec x tan x sec x 3 dx
- Q Which is an antiderivative of tanxcscx?secx-1-cscxtanx+5No antiderivative exists
- Q Let f(x) = 1 + x2 for x E (-0,00) and let g(x)=tan(a) for x E (-1/2, T/2). Which ofthe following statement is truc?for a E (-1/2, 1/2).d(b)(f(x) + g(x))...
- Q 4. EVALUATE THE INTEGRALS. SHOW WORKS 2x + 11x + 4x + 5dx
- Q 5. EVALUATE THE INTEGRALS. SHOW WORKf x'sec(3x) dxS x e5x dx
- Q Use Newton's method to find the absolute maximum value of the function f(x) = 2x sin(x), 0 ? x ? correct to six decimal places.
- Q *(d)r cos(x)drHint: Rewrite the integrand as rr cos(x). Now experiment as to what to set u and duequal to. Do not use online resources!
- Q Find f.f(t) =f'(t) sec(t) (sec(t) + tan(t)),=-< < (4) -->-7
- Q Consider the following function.xf(x) =x-49(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)(0,0)xX =(b) Find the open intervals on which the function is increasing or...
- Q Find x where ?x? 2T.2 sec x cosx = cscx - cotx2+
- Q In Problems 35-38, find solutions to the given initial valueproblem.35. y" + 3ty' - 6y = 1;y(0) = 0, y'(0) = 0
- Q Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (Select all that apply.)f(x) =[?, 3x]= cot,f(a) does...
- Q Find the Fourier series of sinx and cosx without directly calculating the Fourier coefficients. (Use some standard trigonometric identities)
- Q Use Stokes' Theorem to evaluate ? ?S curlF.ds, where F(x, y, z) = (tan-(xyz), xy, x z) and S is the cone x = ?y + z,0 ? x ?...
- Q 11:41"He should do his homeworka little better, because he'llfind out that we've had a 10decline of 5 million in the farmpopulation under thesegovernment programs. He'llalso find that the Democraticadministration has...
- Q Let f (x) = -5.#1) Evaluate f(4).f(4)=#2) Solve x for f(x) = -1.
- Q Express the following equation as a function y = f(x)3xy + 4y = 1Impossible because it is not a function.13x+4Of(x)Of(x) - 2-34|||||1-3xy1-49O f (x) 5-= 3x
- Q (0.00/1.00 point) 0 of 3 attempts 12x, where a represents the Use a system of linear equations with two variables and two equations to solve. A moving company charges a...
- Q What substitution is needed to rewrite the equation as a quadratic equation in terms of U?x2/5 +6x/5-16 = 0Select an answer and submit. For keyboard navigation, use the up/down arrow...
- Q Consider the function f(x) = ? 2x + 33x ? 168z + 3. For this function there are threeimportant open intervals: ( ?, A), (A, B), and (B, ?o) where...
- Q Solve the equation and write the solution set. If there is more than one solution, listthem in order from smallest to largest. Do not enter any spaces in the answer.2x...
- Q Solve the equation and write the solution set. Use / to write fractions, as in 34/9means34.. If there is more than one solution, list them in order from smallest to9largest....
- Q XTWhat is the equation for a cosecant function with vertical asymptotes found at x = + n, such that nan integer?
- Q Find equations for two lines that are both tangent to the curve y=x-3x + 3x - 5 and parallel to the line 3x - y = 1
- Q Find an equation of the normal line to the curve of y = ??x that is parallel to the line 4x + y = 1.y =
- Q A AWhat is the equation for a cosecant function with vertical asymptotes found at x =2 2+-n, such that n is an integer?
- Q Find the derivative of the function using the definition of derivative.1-4t3 + tG(t) =G'(t) =State the domain of the function. (Enter your answer using interval notation.)State the domain of its...
- Q Suppose that the functions g and fare defined as follows.g(x)=x+8f(x) = (x+3)(x-3)(a) Find() (5).(a)9(b) Find all values that are NOT in the domain offIf there is more than one value,...
- Q Evaluate the integralfz (z 10) drby making the substitution u== 6 - 10.I
- Q Evaluate the indefinite integral.?2?1+zdz
- Q DETAILSSCALCET9 4.2.012.Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your...
- Q Find equations of the spheres with center (1, -3, 4) that just touch (at only one point) the following planes.(a) xy-plane(b) yz-plane(c) xz-plane
- Q Consider the quadratic function f(x) = x - 2x - 8.Determine the following:The smallest x-intercept is x =The largest x-intercept is x =The y-intercept is y =
- Q Suppose you start at the origin, move along the x-axis a distance of 9 units in the positive direction, and then move downward a distance of 8 units.(x, y, z)=
- Q Solve sin(6x) cos(8x) - cos(6x)sin(8x) =_ - 0.25 for the smallest positive solution.X =Give your answer accurate to two decimal places.
- Q Using Pascal's triangle, find the 4th power of 102.O 108,243,2160108243212O 108246216O 108223216
- Q Solve sin(x)There are two solutions, A and B, with A < B and A and B in radians to 4 decimal places.A =B =-- 0.28 on 0 < x <...
- Q Let g(x) = x?8 + xDetermine the equation of the tangent line to g at (1, 3). Report the solution using slope-intercept form.
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