3 1 L ₁₂x²²49dx +9 -3 RE

Q: √35.9

A:

Q: 4. Evaluate (x - 1)(x + 1)da using the Fundamental Theorem of Calculus.

A:

Q: Let f(x) = x²30 Find the critical points c that correspond to local minima.

A:

Q: a) Let zi = 4 cos Find 2₁ - 22 and 7π 12 21 Z2 5TT 12 + i sin and = 3 (cos. Leave your answer in…

A:

Q: Find (au/ay), at the point (u,v)=(√2,-2), if x=u² + v² and y= uv. du (Simplify your answer.) ay…

A: Here we using jacobian formula.

Q: 1. x Cos² y dx + tan y dy = 0 2.2 x yy' = 1 + y² @ a given condition x = 2, y = 3

A:

Q: Identify

A: Please refer to the image below

Q: 3. Apply the three conditions of continuity to determine if the function f(x) = 2x²+5x+2 x²-x-12 is…

A:

Q: 2. √√√x + y + xy = 21

A:

Q: [4pts] Consider a point in Cartesian coordinates given by (3√/3, -3, -8). a.) Find a corresponding…

A:

Q: S0³ (0+2) de -3

A: ∫θ-3θ+22dθ

Q: Carbon extracted from an ancient skull combined only one-sixth as much as C14 as carbon extracted…

A: Let's find age of skull.

Q: Find the Laplace Transform of the following functions

A: Laplace Transform of function cos3t

Q: Write the form of the partial fraction decomposition of the function. Do not determine the numerical…

A:

Q: 2 Let f(x) = 5x4 -/+8√x-3. a) Find f'(x). (b) Find an equation for the tangent line to the graph of…

A:

Q: 2 3s +9 Option 4 Option 2 Option 3 -3t e co 2 3 23 e 3 -St None of the choices 3 -3t 2 Option 1 e

A: Given :L-123s+9

Q: Find the critical points of f(x) = -2x4 + 2x² - 6 and apply the Second Derivative Test (if possible)…

A: Given problem:- Find the critical points of f(x) = -2x² + 2x² - 6 and apply the Second Derivative…

Q: Find a 3 x 3 matrix A such that A A A A = 1 4 0 = 2 0 -1 B-B EL. 0 2 1 = -3 and 0 -5 0 -5 B-B 0 -5 1…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1. x² - 2xy + y² − 6x + 2 = 0

A:

Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1

A:

Q: SOLVE NUMERICALLY USING (a) TRAPEZOIDAL RULE AND (b) SIMPSON RULE. USE (a) n = 4, and (b) n = 8.…

A: This is a problem related to numerical integration. Based on the general formula and concepts we…

Q: 1 6x² ex³ dx

A:

Q: 2 3s + 9 Option 4 Option 2 -3t e 2 3 e 23 c -34 3 None of the choices 3 -34 2 Option 1 e

A:

Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: The average rate of change of f(x) = sin(x) with respect to x as a changes from 0.5 to 1 is O 1 0 2…

A:

Q: hat are the cylindrical coordinates of the point whose spherical coordinates are

A:

Q: 3) For parabolas, consider the following graphs E

A: Solution of given question is written in below steps.

Q: Find the instantaneous rate of change for the function at the given value. f(x) = x² + 3x at x = 0…

A: We can find the instantaneous rate of change as below

Q: 2. Evaluate: S 0 trư √2 = x + x dx

A:

Q: Find the Inverse Laplace of a) (3s-8)/(4s2+25) b) 2/3s+9 c) 5s+4/s3

A:

Q: Determine if the series converges or diverges Sum n=1 (n+1)/(n+3) State the test used, show that all…

A:

Q: [9] Q4)(a) Find the maximum eigen value for the system 4 = x (0)=(0.02991) with initial vector

A: Follow the procedure given below.

Q: State whether L'Hôpital's Rule applies or not. x² - 25 lim x-5 54x - x² Does L'Hôpital's Rule apply?…

A: We have to check weather the L'Hospital rule is applicable or not after that we have to calculate…

Q: If à = 3ai +4j-k and B = 4i+j−3k, find the value of a if A normal to B.

A: Given vectors A→=3ai+4j-k and B→=4i+j-3k

Q: 4.3√√√7

A:

Q: 1. The diagram shows a regular hexagon. Write a single vector that is equivalent to each vector…

A: Triangle law

Q: Q1): Prove that: A square matrix B has inverse if and only determinant of B is not equal zero.

A:

Q: 9. (20 pts) Find the area between (bounded) by the curves y = x² + 10x and y=2x+9.

A:

Q: ff xy dx dy

A:

Q: Find the equation for the line tangent to the curve 2ey = x + y at the point (2, 0). Explain your…

A: Equation of tangent to curve is given.

Q: A point P is moving along the curve whose equation is y=√√x³ +17. When P is at (2,3), y is…

A:

Q: dx 9-x

A:

Q: Consider the matrices shown below: Compute CT-14 CH [142] 31 5

A:

Q: Q1/ From the following table of values, find the approximate value of f'(1.5): X 1.2 1.7 1.5 0.4055…

A: Given:- To find: f'(1.5)

Q: Can you elaborate you answer in b>? I cdont understand whiy it became 4

A: We have to elaborate why the angle is 4π3.

Q: (x+ siny) dx + (x cosy - 2y) dy = 0

A:

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

A:

Q: Y y=√√√1-x² x Show that the volume under the surface z = 5x²y over the half of the unit above the…

A:

Q: е 0.99

A:

Q: 0 Q4)(a) Find the maximum eigen value for the system A = x (0)=(0.0299 1) with initial vector

A: