Calculus question and answers for July 20, 2023
- Q 1 point Compute the flux of the vector field F 8x y zk through the surface S which is the cone x y2 z with 0 z R oriented downward...
- Q 1 point Let C be the positively oriented square with vertices 0 0 2 0 2 2 0 2 Use Green s Theorem to evaluate the line integral 2yxdx 7x...
- Q 4 a If x y 25 find by implicit differentiation dy dx b Find an equation of the tangent to the circle x y 25 at the point 3 4...
- Q Cylindrical z r cos 0 y rsin 0 2 2 dV r dr d0 r 2 y Spherical z pcos sind y psin sind z pcos dV p sine dp...
- Q 5 Find Love 1 x dx a interpret it geometnically
- Q 4 Find the arc length of the curve 3 4 for Y y 1 x 8 8 pts 5 Find the area of the surfaces generated by revolving the curve...
- Q 7 6 1 2 0 8 0 47 H ree o 1 201 Homework 1 2 1 Sketch the region enclosed by the curves and find its area X 114...
- Q y rsin z z dV r dr d0 r y Spherical z pcos sino y psin sind z pcoso dVp sine dp do do p 1 y 2 2 10...
- Q Find the volume of the solid that results when the region above the x axis and below the ellipse 3 V a b 1 is revolved about the x axis
- Q Determine the values of x and y such that the points 1 2 3 6 7 1 and x y 2 are collinear lie on a line X and y...
- Q Evaluate f x y z dV for the function f and region W specified 12 x y dV f x y z 12 x y W y z x 0...
- Q Find the average value for the function fave over the given interval Then find c a b such that f c fave 3 f x 31 9x 5 4 g...
- Q Integrate f x y z 20xz over the region in the first octant x y z 20 above the parabolic cylinder z y and below the paraboloid z 8 2x...
- Q Let h x e 5 Decompose h x into two functions so that h x f g x f x g x Note In order to get credit for this...
- Q Find the volume under the paraboloid z x 4y and above the rectangle 0 2 1 4
- Q 3 6 points Using polar coordinates find the volume of the solid below the cone z y and above the ring 1 x y 25
- Q 1 point Consider the solid that lies above the square in the xy plane R 0 2 x 0 2 and below the elliptic paraboloid z 49 x 3y Using...
- Q Evaluate the iterated integral 6 x 4y dx d
- Q 1 point Using geometry calculate the volume of the solid under z 1 x and over the circular disk x y 1
- Q of SL ve the hyperbola xy 1 and the line y x and below the line y 2 7 points Calculate the value of y dA where D is the...
- Q F x dx 3 and t If g x dx 3 what is the value of f xx y dA where D is the rectangle 1 x 3 2 y...
- Q 1 point Find the mass of the triangular region with vertices 0 0 3 0 and 0 1 with density function p x y x y
- Q 1 point Evaluate the integral by reversing the order of integration With order reversed where a b C Evaluating the integral cos x dx dy So I co cos x...
- Q sketch the region of integration and evaluate the integral Your sketch should be approximately the same as one of the graphs shown below which is the correct region Graph Then...
- Q x 1 point Evaluate the double integral I xy dA where D is the triangular region with vertices 0 0 2 0 0 5
- Q N 16 x sketch the region of integration and evaluate the integral Your sketch should be approximately the same as one of the graphs shown below which is the correct...
- Q 1 point Suppose R is the shaded region in the figure and f x y is a continuous function on R Find the limits of integration for the following iterated...
- Q 1 point By changing to polar coordinates evaluate the integral where D is the disk x y 16 t tri dody
- Q point Match each double integral in polar with the graph of the region of integration 3x 4 So Lot 10 1 123 0 2 0 6 0 1 3 4...
- Q 1 point Suppose R is the shaded region in the figure As an iterated integral in polar coordinates with limits of integration A B D f x y dA R...
- Q Define f x g t dt where the graph of g t is shown here 5 0 5 5 a Find the value of f 2 b Give the lower...
- Q 1 point Find the mass of the rectangular region 0 x 4 0 y 3 with density function p x y 3
- Q Let R be the region in the ry plane bounded by y 2 and the z axis which is shown in the figure below y Q10 1 2 Points O...
- Q What is the resulting integral if the substitution v is applied to da 2 edu 2fe du 2 d Suntstelle WRANGLg star PERICU
- Q Find the exact value of csc P in simplest form 2 P 3 13 N
- Q If f f x dx 10 and f f x dx 4 find f f x dx 6 O None of the above O 10
- Q 2 15 18 Question 6 1 point Listen Express CA TC RC RT TC RC R CA RT as a single vector
- Q Find the area of the region R bounded by the graph of f x 12 x and the x axis on the interval 12 24 Graph and show the region...
- Q Find the net area and the area of the region bounded by y 5 cos x and the x axis between x the function and find the region indicated in...
- Q Estimate the area of the region bounded by the graph of f x x 4 and the x axis on 0 10 in the following ways a Divide 0 10...
- Q Find the area of the region bounded by the graph of f x x x 2 x 1 and the x axis on the interval 2 The area is Simplify...
- Q Find the area of the region bounded by the graph of f x sin x and the x axis on the interval x 3 3 4 The area is Type...
- Q Sketch the region enclosed by x y 30 and x y 0 a Favoring convenience should you integrate with respect to z or y b What are the limits of...
- Q 5 Consider the surface begin array 1 x u v 2 u 3 v y u v 2 u 3 v z u v u v end array where u...
- Q Given Rn 2 2 1 2 cos 72 a that is provide a b and f z in the expression b f f express the limit as n 0 as...
- Q A faucet leaks 6 oz of water per minute a How many gallons of water are wasted in a year A gallon contains 128 oz b If water costs 9...
- Q 4 Use L H pital s Rule to prove that the function 5 F x Lea ta dt is continuous for all values of x
- Q 1 6 points Find the length of the curve r t 2t t t for 0 t 1
- Q valuate the related series of each sequence 34 40 46 52 58 64
- Q Evaluate the function at the specified points f x y y xy5 5 4 3 1 1 4 At 5 4 At 3 1 At 1 4
- Q Let f x Can we use the mean value theorem to say the equation f x 2 x 4 1 x Choose 1 answer A B No since the function...
- Q What is the value of log279 0 13 1 2 O NO CYCO 2
- Q 1 point Find an equation of a plane through the point 4 5 2 which is orthogonal to the line x 2 5t y 5 2t z 4 1t in...
- Q 1 a a X 3 2 1 To find the blue shaded area above we would calculate 1 Where b f x dx area f x 2 b
- Q Use only the fact that 3x 6 x dx 54 and the properties of integrals to evaluate the integrals in parts a through 3x 6 0 d if possible 3...
- Q 7 Suppose ff x dx 3 ff x dx 5 and g x dx 6 Evaluate the following integrals 2 2 4 2 2 Sg x dx 7 Simplify your...
- Q Textbook Videos Using Part I of the Fundamental Theorem of Calculus 14 J C
- Q 2 Suppose f x dx f x dx 3 ff x dx 5 and 4 g x dx g x dx 6 7 2 2 7 7 Simplify your answer...
- Q Graph the following function Then use geometry not Riemann sums to find the area and net area of the region described The region between the graph of y 2x 6...
- Q x from x Approximate the area under the curve y X 5 using a Right Endpoint approximation with 6 subdivisions 2 to
- Q Write the sum using sigma notation A 1 2 3 4 A B 81 B where n 1
- Q The figure to the right shows four regions bounded by the graph of y x sinx R R R3 and R4 whose areas are 1 x 1 x 1 and...
- Q 2 4 Suppose 7 7 froxidx 3 frox dx 5 and fix 2 2 7 Si g x dx fg x dx 2 dx 6 Evaluate the following integrals
- Q Use geometry to evaluate the following integral 7 7 ff x dx 1 f x dx where f x 2x if 1 x 5 12 2x if 5 x 7...
- Q Determine the following indefinite integral Check your work by differentiation 1 1 x 5x 11 ax slax s 3 4x dx 3 4x 5x 11 dx
- Q XI 4 1 L 3 CH a 2 2 Where To find the blue shaded area above we would calculate f x dz f x 12 3 area cry area...
- Q ASSIS 0 x y x y 2 dzdy dx 2 SA So 2 14x x y x y 2 dzdy dx
- Q Given f z Find f 9 sin 3x and f 0 4 and f 0 3
- Q Suppose F t has the derivative f t shown below and F 0 6 Find values for F 1 and F 8 1 3 2 1 1 2 3 F...
- Q For what value of b does 12 12 72 77 02 LIF o O Ono solution 12 20 2 12
- Q Type oo for oo and oo for co Also type U for U Where is f 0 at z Where is f undefined at I 2 What are the critical...
- Q Question 6 Consider a function f R R Denote by f the n fold composition of f with itself f n fofo of n times In the examples below we...
- Q 7 In the following change the cartesian integrals into equivalent polar integrals and then evaluate the polar integrals iii 2 4y x y dydx
- Q A manufacturer can produce 4860 cell phones when a dollars is spent on labor and y dollars is spent on 3 capital The equation that relates z and y is...
- Q 1 Let C be a positively oriented simple closed contour around the origin Compute Leve dz EXINA 1 Melons
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