log4 You can write log421 as log21- True False

Q: Given the vector field F(x,y) = [x/((x^+y^2)^(3/2)), y/((x^+y^2)^(3/2))], Find a fucntion f(x,y)…

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Q: If sin a = 0.806 and cos ß = 0.718 with both angles' terminal rays in Quadrant-I, find the…

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Q: The base of a three-dimensional figure is bound by the line y = 6 - 2x on the interval [-1, 2].…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given that the first equation is          x3=y-2-1=z+11  Its parametric form are:    x=3t , y=-t+2 ,…

Q: Find the displacement of an object on the interval 0 ≤ t ≤ 6 if its velocity is v (t) = 4t -√√t

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Q: defferentiate the function: y= ln((x^1/3)/(2x+1))

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Q: If the point (4,-7) is on the terminal side of the angle in standard position, sin (0) = cos(0) tan…

A: Here we have to find the value of trignometric functions.

Q: Find the solution to the differential equation =(2x + y cos xy) dx + x cosxydy = 0

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Q: Evaluate the geometric series or state that it diverges. Το 198 Σ k = 0 56 k Select the correct…

A: topic - geometric progreesion

Q: Find all numbers c that satisfy the conclusion of the mean value theorem. f(x) = 2x2 - 5x + 1, [0,2

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Q: Social Security According to a certain news poll, 63% agreed that it should be the government's…

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Q: of a sequence and its series. Giver (An) is convergent. } is convergent.

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Q: 11. A rubber ball is dropped from a height of 5 feet and bounces to 1/3 of its height after each…

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Q: Find the radius and interval of convergence of the power series (−1)″ (x+2)" √n.3n n=1

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Q: Find the nth term of a sequence whose first several terms are given. 11 17 23 29 4 9 16' 25' an = II…

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Q: Find all cube roots of the complex number −1 + i

A: We have to find all the cube roots of the given complex number.

Q: 2. (x+2y-1)dx - (2x + y - 5)dy = 0

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Q: g(x) = cos ¹x+ 1-x

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Q: £f*. S: z = 18, x² + y² ≤ 1 Evaluate (x - 2y + z) ds.

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Q: A cylindrical can is being filled at the rate of dh = 3t², h(t) describes the height of the…

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Q: Find the area between the graph of x = 2y + 3 and the y-axis on the interval [0, 2]. 4- 3- 2- 1…

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Q: 3x2+2 0 2x²+4x+3 So dx

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Q: s²+1 Find the inverse of Laplace transform of log (² (s−1)²,

A: =L^-1[log(s^2+1/((s-1)^2) =2(e^t-cos(t))/t

Q: Determine is the given alternating series converges or diverges using the Alternating Series Test.…

A: Solution is given below:

Q: Consider the following statements; throughout assume c≥a. (i) If f is integrable on [a, c] for all c…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Major axis…

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Q: The original question did not put it right. it was (5overx) 5/x If  f(x) = 3x + 4 and g(x) =5/x

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Q: education. He has found a bank that will pay 9 percent interest compounded continuously. How much…

A: Topic:- algebra

Q: find the avg rate of change for the function over the given interval find the avg rate of change…

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Q: Question 1 Find the partial derivative ♬, for the function ƒ(x, y) = x² − 3y² +5.

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Q: dX If the side of a cube is expanding at the rate d = 2t cm/sec, and X(0) = 3 cm. What is the volume…

A: This question can be solved using the concept of differential equation.

Q: 18 0-17 ¹8 cos(x¹8+18) Question 6 Find the total differential for the function w = Odw - 262³ y sin…

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Q: Q6. Angle a is acute and COS a = (a) (i) (b) 3|5 Find the value of tan a as a fraction. Hence show…

A: Given problem:-  Angle α is cute and cosα=35Angle β is obtuse and sinβ=12 (i) find the value of…

Q: Question 3 dz Find the partial derivative for the function z = 20y²√x. dy C ay az ay N GE - 201 az =…

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Q: Q5. (a) (i) (b) (c) (ii) Express sin 2x Express cos 2x Show that in terms of in terms of sin x Solve…

A: Given problem:- (a) (i) Express  sin 2x in terms of sin x and cos X.(ii)  Express cos 2x in terms of…

Q: r = 8 + sin(4theta) Find the area that the curve encloses.

A: We need to find area.

Q: In Problems 1-5, let R be the region bounded by y = 4-(x - 2)² and y = x. Each problem will describe…

A: Given: Let R be the region bounded by y=4-x-22 and y=x. To Find: 4 To write an integral expression…

Q: The graph of f(x) =1/x is expanded vertically by a factor of 4, reflected in the Y axis, translated…

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Q: A region bounded by f(x) = x, y = 1, and x = 4 is shown below. Find the volume of the solid formed…

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Q: If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

A: Solve the following

Q: Use the Integral Test to determine the convergence or divergence of the following series, or state…

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Q: Use either integration by substitution or integration by parts as needed to evaluate S³= A B x²+1…

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Q: g(x) = 3.22(x+1) — 4

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Q: Consider the following. Differential Equation dy=-10xy dx (a) Use Euler's Method with a step size of…

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Q: Determine the volume of the solid formed by revolving the area bounded by x² + y² =25 and x + y = 5…

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Q: Suppose that f is a linear function with slope -2 and that f(1) = 6. Find the equation for f. (Use x…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Given:    Maximize fx,y=8x+8xy+y    Constraint : 8x+y=400 Rewrite the constraint 8x+y-400=0 Form the…

Q: Find the solution of the initial-value problem of xy ³ √1+x²¹ y' = - y(0) = = -1

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Q: Determine whether the telescoping series converges or diverges. 5 5 Σn=1 (√2+2 -√2+3) /n+2 a) The…

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Q: Evaluate the limits. Enter DNE if the limit does not exist. a) lim g(x) = x-9 b) lim g(x) = X-9+ c)…

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