Y Calculate J₂ (₁2) dA JR 1 + x R= [0, 5] x [0, 5]. Answer: dA, where

Q: Evaluate (x² + 1)dA. Where D is shown below. y = -4 + x2 2-1 0 -2- 1 /2 3 X y = 4 – x2 2.

A: To evaluate the given double integral.

Q: Show that r: y = 3. 2n

A: Using two sectant theorem,  ∠n=12x-y  Multiply both sides by 2. ⇒2n=x-y .....(1) Using intersecting…

Q: Calculate Answer: J[₂ ye -xy dA, where R = [0, 7] × [0, 6].

A:

Q: Y= 2cos(2x) for values of X= -II

A: y=2cos2x , x=-π

Q: dx Evaluate: 9 – x2 6,

A: folllow next step

Q: (),-- dz For z = -5x* – 3y and a point PER², you have = -4. dz Determine the value of

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Q: The expression r = 3 Co = x²y³zt where: x -4y626 (xy) 42-1 8 = " and t =

A: Please see the below picture for detailed solution.

Q: What isthe value of 36x-8y² when x = 3 and y = -6?

A:

Q: Rearrange the equation to isolate

A: here , we have a equation , then we have to re - write the equation for C   equation be    a=b1c-1d…

Q: Consider all lines in the æy-plane that pass through both the origin and a point (æ, y) on the graph…

A: The equation of line is written as y=mx {passing through origin} The given line is in xy-plane that…

Q: Evaluate: 2+ (5 - j14) 2 - (24 + j10) = 0 (24 j10) 0

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Q: Find dy : Note: subscripts indicate a different variable. a. y = 4x +7x} +2x,x, +4x² +5

A:

Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: Let, A = [ 1 2 x 3 −1 2 ] and B = [ x y 1 ]. If AB = [ 6 8 ], find x and y.

A: Let, A = [ 1 2 x3 −1 2 ] and B = [xy1]. If AB = [68], find x and y.

Q: Determine |z| if z =2−3i.

A: z = x +i*y |z| = √(x2 + y2)

Q: x = t3 + t2, y = 7t2 − 4, t = 2

A:

Q: y = x - 2|-1? A A В C O None

A: We have to find the graph

Q: Which value(s) of x satisfies the equation Vx? -4x –5 = 2x – 10 {3, 5, 7} {5} {5, 7} O {7}

A: Given an equation x2-4x-5=2x-10 To find the values of x that satisfy the equation

Q: (x y z 202 X 00 2a y 002

A:

Q: Find L{6t²e¬4t – e2t cos (V7t)} CoS

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Q: A golfer's tee shot follows a path given by y = 96t − 16t2, where y is the height of the ball (in…

A:

Q: The velocity of a rocket, in feet per second, of a rocket t seconds into vertical flight is given by…

A: Write the relation between velocity and altitude: vt=dhtdt

Q: 1. S^₂(x²-x)dx

A: Find the integral

Q: Differentiate. y = (r2 – 4r)e" %3D

A: Given,            y = r2 - 4r er

Q: Q2: Evaluate ſGeascos² (y s) ds. COS

A: Using cos2(bs) = (1/2)*(1+cos(2bs) And integrating using by parts.

Q: For which values of x is Y1 = Y2?

A: A table with X, Y1,Y2

Q: EX- (How) find inveNse femetion fex) 7 6-10X t+x8

A:

Q: For z = -V3 - j3, evaluate

A: Given that , z=-3-j3 evaluate 1z*e-jπ2

Q: Lindg @ X= L

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: X 23 y + 4y = 0

A: Solving second order differential equation:-