Calculus question and answers for January 03, 2024
- Q Given the matrix A shown below what is the element a31 4 5 4 4 1 5 1 5 3
- Q 10 points Prove that for any five linear transformations T T2 T3 T4 T5 from R to R there xists scalars C C2 C3 C4 C5 such that T x...
- Q Given the matrix A shown below what is the element a 1 2 53 3
- Q A sample of 500 g of radioactive lead 210 decays to polonium 210 according to the function A t 500e 0 032t where t is time in years Find the...
- Q Given the matrix A shown below what is the element a21 B 13 1 3
- Q What is the order of the following matrix Provide your answer below 2 4 2 3
- Q The average monthly temperature T m in degrees Celsius in a particular city varies according to the model T m 4 sin sin m 2 1 2 where m represents...
- Q Subtract the following matrices Give your answer as a matrix using the matrix tool Provide your answer below 0 4 4 4 0 3
- Q P 67 1 2 If possible find an invertible matrix P so that D P AP is a diagonal matrix If it is not possible enter the identity matrix for...
- Q x 8 sin 4x cos 4x c1 cos 4x c2 sin 4x c1 cos 4x c2 sin 4x x sin 4x 8 x cos 4x 8 t least one of...
- Q 12 Set up but do not Evaluate Use sperical cordinates to set up the integral for the volumenof the solid bounded above by the sphere x y z 1 and...
- Q Angle Degree Radian 0 10 15 20 30 40 45 50 60 70 75 80 90 Length of sides in decimeters Adjacent Opposite Hyp Measure Measure Measure Approx Approx Cosine...
- Q 0 0 10 15 20 Degree Radian 30 40 45 50 60 Angle 70 75 One Decimeter 1 2 3 4 5 6 7 8 9 80 30 90 15...
- Q Question 4 4 points Our goal is to estimate the value of In 0 9 using a Taylor polynomial a 1 point Write down the formula for the Taylor polynomial...
- Q Question 3 2 2 4 points Compute the following limits or else prove that they do not exist using methods from algebra and Calculus You must justify your steps with...
- Q Evaluate the cylindrical coordinate integral The value is 0 0 r r dz dr d
- Q fr F dr where F x y z yi zjxk and C is a triangle with vertices 0 0 0 Use Stokes theorem to evaluate 9 0 0 and 0...
- Q Set up and evaluate an integral for the surface area of the surface defined by z x y 1 with 1 z 5
- Q Test the series for convergence or divergence 1 7n 1 5n 1 n 1 Evaluate the following limit If the quantity diverges enter DIVERGES lim 1 318 Since lim 1...
- Q 5 12 Consider the rational function r x Evaluate the local behavior As x 1 r x As x 1 r x As x 2 r x As x 2...
- Q 9 End Behavior Give the equation of the horizontal asymptote of eac rational function If there is no horizontal asymptote state that fact 5x4 12x 120x 100 2x 20x 25...
- Q Problem 3 6 points Compute the rate of change of the function f x y ln xy in the direction of k 1 at the point 1 1
- Q 1 Use Simpson s rule with m n 2 to estimate f f x y2 dy dx
- Q Use the Laplace transform to solve the given differential equation subject to the indicated initial conditions y 7y 6y et 8 t 3 8 t 7 y 0 0 y...
- Q Determine the correct partial fraction decomposition for 9x 14x 2 5x 4 x2 x 2
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