Find the area of region enclosed by=t-t², y=t-t³, 0≤t≤1 using Green's Theorem.

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Let C be the curve defined by the following system of √x+6y²-2²=0 3y = z 14:

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Q: hether the matrix is invertib

A: We have to consider the given matrix is invertible or not

Q: F(s) = 9s² 2s - 3 12s + 20

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x7, y =…

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Q: rting to polar coordinates. dy

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Q: Question 13 Evaluate the definite integral. 1.² sin (3t)dt Question Help: Video ▼ Submit Question…

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Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: Simplify the trigonometric expression.   1 + tan(A) sec(A)  Step 1 Write tan(A) in terms of sine and…

A: Given query is to simplify the expression.

Q: If C is a constant, and f(x) = | ƒ(x) = ln(Cx³), find and simplify the third derivative: ƒ'''(x) =

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Q: What is the inverse of the function f(x) = (x-6)2 where x ≥ 6, if it exists?

A: Given: f(x)=x-62

Q: Explain and demonstrate how to find the eigenvalues of the matrix 0 2 2 3]. -3

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Q: 22) Determine the value of f(t)dt given that £15 f(t)dt = -10 and 5,5 f(t)dt = 9.

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Q: Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface…

A: According to question,Given vector,F→ = 4yi→ + 7zj→ + 7xk→z = 64-x2 + y2for z≥0.

Q: Question 1 ( (a) ) ) For the function (b) ( transform 3 f(t) use the definition of the Laplace…

A: Given function is (a) f(t)=30≤t<2e2tt≥2and (b) L-13(s+5)(s-2)

Q: Prove that for any positive integer n, 4 evenly divides 32 -1.

A: Let's prove that 4 evenly divides 3^(2n) - 1.

Q: 13. The function has the 1st derivative given by f'(x) = -x(x+3)(x - 1)²(x+4)³. What are the x…

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Q: Differentiate the function. 1 g'(x) ॥ g(x) 1 2x 2 = = VX + X 1 5.( ) *

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Q: 1. Evaluate: 1 1+x+x\ L₂FF dr

A: Given integral is ∫-2111+x+xdx

Q: Use the graph of f(x) - 1 below to find a number & such that f(z) - 0.5| < 0.2 whenever 0 << |z2|<…

A: Graph

Q: 1 cm?

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Q: - Let F(s) = I O None of the others 0 3e2t 1 2 2 e2t 2 e2t 2 N/W N/. + 2 1 s²-2 s Give your reasons…

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Q: On the interval shown, for which graph is f' positive and f"' negative? OA. OB. Q O C. z Q 2 OD.

A: To choose the graph which describes the given characteristics

Q: 3) dx xinx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: If y is inversely proportional to x, and y = 9 when x = 6, write a formula for y in terms of x. Use…

A: Given y is inversly proportional to x let k = proportionality constant

Q: (c) At what points is the height 40 m? (Round your answers to two decimal places.) (x, y) = -52.825…

A: The given equation of the arch:y=211.49-20.96 cosh0.03291765x

Q: 3. Solve the following inequality: x³ + 2x²-3x x-4 ≤0

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Q: The surface of a machine part is the region between the graphs of y₁=1x and y₂ = 0.100x² +2.500 as…

A: Given that , y1=x , y2=0.100x2+2.500 Find the area of the surface of machine port.

Q: Set up an integral which calculates the total distance traveled by the drone between t=1 and t=2?…

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

A: To find the rate at which the area is changing

Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

Q: 44 If 2x=y¹/5 +y=1/5, then express y as an explicit d²y dy = 25 y. dx dx² function of x and prove…

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Q: 1 5) Let A= 1 -1 0 0 -1 2 3 -6 a) Find A-¹. b) Find det(A), that is, the determinant of A.

A: (a)  A-1=1Aadj(A)where  A=determinant if Agiven  A=1-1010-1-623

Q: Question 8 Consider the indefinite integral U= du = x5 (x6 + 4)6 This can be transformed into a…

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Q: locity of 6. Find the average value of f(2x - 1)³dx.

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Q: ) If we would like to solve the following differential equation by variation of parameters 3x then…

A: We check whether the statement is correct or not .

Q: A drone flies with velocity v(t) = 3ti-fj+4k. When t = 1, the drone is at (3,2,2).

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Q: (-3,0) <++++ -10-9-8-7-6- -4-3-2-1 9 Provide your answer below: a 9 00 7 6+ 5+ 3+ 2- 1 -1 3₂ -3- in…

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Q: 19. lim x²-5x-24 x-5 x²-9

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Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

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Q: Differentiate the function. f'(v) = f(v) = 3 √√√v - 3vev V V

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Q: (2/7/277) 2√2 4 Find the slope of the tangent line to the graph of y = arcsin(2x) at the point Round…

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Q: Sketch the region R and compute ff 2xdxdy, where R is the region bounded by x = y² and (x-1)² + y² =…

A: To find:- ∬R2xdxdy Where R is the region bounded by x=y2, x-12+y2=1

Q: Graph the ellipse given below by dragging the vertices and co-vertices to the correct y² + = Provide…

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Q: Consider the following function: Step 4 of 4: Enter the x-values of any local minima, maxima, and…

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Q: 1) Let an = 3+2(n-1). Write the first 5 terms of an. Find Σ10% ακ k=1

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Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: 1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the…

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