K Use the flux form of Green's Theorem to evaluate (axy+ay³) dA, where R is the triangle with vertices (0.0), (1.0), and (0.1) (Bxy+By³) dA= R (Simplify your answer.) R C

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Q: tions gn [0, 1] → R given by : Consider the sequence of func- In (x)= = lim gn- (a) Show that (gn)…

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A: We know the combination formula which gives the number of possible combinations if r items are taken…

Q: Question 6 Given the two matrices: a b c A = de f ghi A B If det(B) = 8, then det(A)= D E -1 4 -64 B…

A: The given problem is to find the det(A) with given determinant of matrix B by using row operations.

Q: Exercise 2.12: For the curve (t) = (t, t², t°), prove that: 4 (9t¹ + 9t² + 1) (9t4 + 4t² + 1)³ = and…

A: Given: rt=t, t2, t3 To prove: k2=49t4+9t2+19t4+4t2+13 and τ=39t4+9t2+1

Q: 3 Prove that bim li a) b) lin (√√m² + +1 M-) D (√√√²+1 -√₂)=0 nti M-) D 2 ·m) = a -

A: By rationalisation

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Q: Find the area bounded by y = e³+2, y = 2 and the y-axis, using a horizontal element.

A: To find the area bounded by the curves y=ex+2 y=2and y-axis with horizontal strip.

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Q: 8. The length L, width W, and height H of a box change with time. As a certain instant the…

A: Answer :- Given  L=1m W=H=2m dL/dt=2 m/s dW/dt=2 m/s dH/dt=-3 m/s

Q: 4x - 9 13 Find the inverse ¹(x). Given f(x)=- F¹(x)=

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A: We can follow the step by step approach used in step 2 to get the required answer

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Q: The evaluated value of the integral (282π(3)^(1/2)/5) is correct. The integral found for the…

A: First, sketch the solid.

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Q: Consider the group S9, a group with 9! = 362, 880 = 27-34-5-7 elements. (a) Find a subgroup with 7…

A: (e) Given group is S9. To Explain: Why there is no subgroup of order 25 in S9.

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A: As per the question we are given a cubic equation as : x3 + d = bx2 And we have to : Show that if…

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Q: 6. Use a tree diagram to write out the Chain Rule (assume all functions are differentiable) for w=…

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Q: Given f(x)=5x+2 Find ¹(f(2)). Step 1: Find ¹(x) = Step 2: Find f(2)=

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Q: What is the parent function of y = −(x+2)(x − 8)? c. y=x³ d. y=x² 4 a. y = x 2 b. y=x² O A O B O C O…

A: To find the parent function of the function y=-2/3(x+2)(x-8)

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A: Given A=41216291451113

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Q: Find the x* (t) for the functional] = √²√1 + x²(t)| dt with the boundary conditions o I show that…

A: Introduction: The Euler's equation in the calculus of variation is given by, ddx∂F∂y'-∂F∂y=0 Where F…

Q: V 1 (True I false) the vectors. or the normal bosis 2 1 1-2 3 form an Ly Vector Subspace V of th t 1

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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Q: 8. (p f(A) ≤ f(B), then ACB. Let f: XY. Prove that for all A, B C X, if f is one-to-one and

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Q: Please also when answering find the slope or the gradient of the line! Needed asap!

A: Answer  Consider the following table   Now when we draw sin(theta1 ) on y axis and sin(theta2) on x…

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A: Given: F =3xy2 , xez , z3 , y2+z2=9 , 3≤x≤4 To find: ∬S F ·dS

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Q: Find the solution of the initial value problem y" + y = 8(t− n) +8(t−2π), y(0) = 0, y'(0) = 0.

A: The initial value problem is given by:  y''+y=δ(t-π)+δ(t-2π) With, y(0)=0, y'(0)=0 We have to solve…

Q: what is the value of x, if y=-1 and constant is 0?

A: Formula of previous answer has been used. Since you asked for the value of x when y is given,  the…