Calculus question and answers for August 13, 2023
- Q For f(x)=1/5+x4the slope of the graph of y = f(x) is known to be -4/81 at the point with x-coordinate 2. Find the equation of the tangent line at that...
- Q Use Substitution to find the given indering integral Sx 2x 5 dx 3
- Q find the given indefinite intergal state whether inte by Substitution or integrat integration by parts was used Please tell me if this parts or substitution dx use integration by L...
- Q Evaluate the follow wing indefinite integral Sa sse st dt
- Q Graph the logarithmic function below by moving the key point y log x You can only graph integer points for example you cannot plot the point Provide your answer below...
- Q Find In 3 rounded to the nearest tenth
- Q find the integral S 4 dx A in 1x 21 c in 1x 2 c B In G In x 2 c D5 in x 2 c
- Q 60 S du Jo g use the Substitution to evaluate the intergal
- Q integration by par 2X ex ax 2 2 2x 2X At x x xe 3 x 1 e c 2xx the Bxext x x x Le x c 1 x...
- Q 6 find the integral you x Ste 7 d 2 ophin A de 7 B 76 c 2 C to 7 c D C 76 c lye
- Q 1 point f x is given in the following table X 1 14 9 16 Complete the table X 1 2 3 4 no your answer 5 B f x...
- Q Tutorial Exercise Find the indefinite integral by the method shown in Example 4 x 9 Step 1 x 9 7 7 x dx The given integral is easier to integrate...
- Q Tutorial Exercise Evaluate the integral using the following values Step 1 Now use the following to evaluate the integral 1 x 8x 1 dx By basic integration rules we have...
- Q Tutorial Exercise Find the indefinite integral csc dx Step 1 Observe that 1 9 Multiply and divide the given integral csc dx by Therefore the integral becomes Step 2 1...
- Q Step 1 foto f x dx 3 Prox Note that f x dx f f x dx
- Q Find an equation for the function f that has the given derivative and whose graph passes through the given point Point f x Derivative f x 2x 8 x 2...
- Q Complete the table by identifying u and du for the integral g x g x dx S tan x 2 sec x dx U u g x du du g...
- Q Evaluate Assume x 0 Check by differentiating S5x In S5 5x In x dx 5x In x dx
- Q value of the integral Express your answers correct to four decimal places 1 Trapezoidal Rule Simpson s Rule exact value dx n 4
- Q Find the indefinite integral Stan u 13 du
- Q 1 2 Jsx V1 x 2 0 dx OA 2 25 4 1 OOB 4 2 1 O C 4 25 4 1 0 5 OD 25 4 1
- Q Evaluate using integration by parts x 4 e 4x dx OA x 4 4x e B x 4 e 4x 1 16 1 16 e 4x C e 4x C...
- Q 2 Evaluate Assume u 0 when in u appears X 5x 3 dx O A 25 In 5x5 3 C 1 OB In 5x5 3 C O c 25 In...
- Q Evaluate Assume x 0 Check by differentiating 22x In 2x In x dx 22x In x dx
- Q Evaluate using integration by parts or substitution Check by differentiating n x 9 dx Choose the correct answer below OA x 9 In x 9 C OC x 9 In...
- Q Evaluate Assume x 0 Check by differentiating 22x in x dx In 22x in x dx 22 1 1 In x x x 3 3 9 C
- Q Na Du La Cu At Evaluate Be sure to check by differentiating 61 7 1 at dt Determine a change of variables from t to u Choose the correct answer...
- Q Evaluate the integral using integration by parts Sex5 exd 16x5 exdx
- Q Find the indefinite integral 6u 12u du
- Q Problem Evaluate the following dx Solution Apply integration by parts as follows Now subtract like terms 1 X du 0 1 Contradiction What happened x dx dv dx Sudv uv...
- Q 3 Find the integral 92 32 7 22 option x A2 3 75 2 3 32 75 3 3 3 7 2 C 312x D 3 7 2 C
- Q Integrate by parts Assome x O x In xdx 11 x
- Q Find the differential of each function an 7 a y tan dy b y 7 2 7t 2 v 2 v dy sec 2 7t 8v 2 1 2
- Q Solve for t to two decimal places 8 0 03t to Do not round until the final answer Then round to the nearest hundredth as neede
- Q The graph of f is given below Sketch a possible graph of f 10 8 10 8 64 2 Clear All Draw 6 4 2 2 4 6 8 101...
- Q Evaluate ff FdS where F is the vector field F x y z rx y zz is the surface of a unit sphere centered at x y z 2 3...
- Q Evaluate the integral 16t i 15t2j 10t4k dt
- Q Find the value of the derivative if it exists of the function f x CO 14 2 4 6 8 X x x 16 at the extremum point 0 0
- Q the indefinite integral Remember to use absolute values where appropriate x x x 1 dx 3
- Q Tutorial Exercise Find the general solution of the differential equation and check the result by differentiation dy 16t7 dt Step 1 When solving a differential equation dy 16t7 it is...
- Q Find the indefinite integral and check your result by differentiation Use C for the constant of integration 5 x dx
- Q for what values of x is the series convergent 00 For what values of x is the series n x convergent
- Q Complete the table Use C for the constant of integration Original Integral Rewrite x dx x X dx Integrate C Simplify
- Q Complete the table to find the indefinite integral Use C for the constant of integration Original Integral Rewrite Integrate Simplify 2 dx dx 9 C
- Q O Find the integral 0 2x dx OA 7e 0 2x C OB 1 4e 0 2x C 7e 0 2x 1 0 2x 1 D 35e 0 2x C...
- Q 0 1 0 1 0 1 0 1 0 1 Evaluate 1 28x dx O A OB 28 3 OD 28 3 0 56 1 Oc 53 2 C 1...
- Q 0 1 0 1 0 1 0 1 0 1 Evaluate the indefinite integral S 6x 3 dx OA 12x 18x 9x C 72x 36 C B O C 12x...
- Q If R is the total resistance of three resistors connected in parallel with resistances R R R3 then 1 1 1 R R 1 1 R If the resistances are...
- Q 1 Find the partial fraction decomposition of these rational functions a b c 3x 5 x 3 x 9 d 9 x 1 x 8 7x 9 2x x 2x...
- Q 1 point The graph of the function f x is the horizontal axis is x Given the differential equation a t f x t List the constant or equilibrium solutions...
- Q Find the exact value of the distance between the points 3 1 2 and 4 2 3 Let a 1 3 4 3 2 2 8 Find the exact values...
- Q ind the area under the graph of f over the interval 2 4 f x he area is 8x 3 5 42 x for x 3 for x 3 Type...
- Q Maximize Q xy where x and y are positive numbers such that x 6 x 6y 2 The maximum value of Q is and occurs at x and y Type...
- Q Find f such that f x f x 7 x f 16 62
- Q 5 Evaluate the following trigonometric integral Identify which case number from the Lecture 3 notes the integral falls under 4 points
- Q 1 Differentiate a f x esinx e f x ln 6x the following functions Do not forget to use the chain rule 10 Points b f x 7x c f...
- Q N D La C Find the integral 6x 5 dx Hint Expand first 6x 5 dx
- Q N Di La Ci At Next question Solve the following integral The answer can be determined by rules of antidifferentiation but some algebra may be required beforehand u7 4u5 9...
- Q For the Periodic triangle function X t ANAL 1 2 Test 3 Parseval s relation i e Calulate 2 S xlt 1 dt and lac lael 2
- Q a At Use the form 12x dx f12 dx faxd a dx 1 In a C to solve the following indefinite integral
- Q 3 If f1 x 8x cos x and 6 find 7 O 2 2 6 O 2 2 6 08 O 0 O 2 2
- Q t T Find an exponential function of the form P t Pon that models the situation and then find the equivalent exponential model of the form P t Poet Doubling...
- Q 0 8 0 6 0 4 0 2 2 3 2 5 8 Use Newton s method to approximate a root of the equation cos Enter your root with at...
- Q nd the Intervals of convergence of f x t x 7 x and f x 1 1 x 6 n n 1 0 x b x C F x d...
- Q dt Evaluate the indefinite integral cos t 8 9 tan t Only use methods taught in lecture
- Q Use substitution to find the indefinite integral x5 6 X S x 36x 2 3 dx x5 6 S 10 dx 2 3 x 36x
- Q Evaluate the integral Only use methods taught in lecture Show full work justify fully ft7 In t dt
- Q 5 pts Evaluate the integral Only use methods taught in lecture Show full work justify fully fi In 1 dt
- Q Integrate assuming x 0 xin 4x dx S x In 4x dx
- Q Use substitution to find the given indefinite integral 7 dx 6 8x
- Q 10 Find the derivative of the function g x t sin t dt Only use methods taught in lecture x Show full work and explain each step
- Q Evaluate the indefinite integral work justify fully dx Only use methods taught in lecture Show full 1 x8
- Q Use substitution to find the given indefinite integral 6 11 7x 6 dx 11 dx
- Q Suppose the supply function of a certain item is given by S aq and the demand function is given by D q Complete parts a through d 7 1 S...
- Q Use substitution to find the indefinite integral S x 4 7 x 4 x 28x 2 3 dx 2 3 dx
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