25. The vector field F(x, y, z) = (2xy + tan x)i + (x²-√y² - 1)j is conservative. a) True b) False

Q: 000 Find lim ( -1 Татко 8 41 - 1³ 2-00 1² +41-5 0-00

A: Given, limx→∞4x-x3x2+4x-5

Q: Solve the following differential equations by using appropriate method or substitutions. 1) y' -…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 8 √₁ 2 4-x² 4 x² 2 +4.x² dx

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Q: 1-y 2 Consider the plane π : x - 2y + 3z − 1 = 0 and the line 1: x= 1. Find the point of…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: If what does the following integral equal? - 14 73 [6f(x) + 3g(x) - h(x)]dx = - 14 f(x) dx = 11 and…

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Q: . For each positive integer n, define an = n² sin +∞ 1. Determine if the sequence {an} converges or…

A: The solution is given below

Q: {an} is a geometric sequence. a5 = 2, ag = -54 find a 11

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Q: 3 -3 f(z) dz = 0 and 7 3 f(2) dz= 7. Find [f(x) dx. -3 7

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Q: Identify the equation without applying a rotation of axes. 2 10x² -8xy + y² +9x+3y-6=0

A: Given, 10x2-8xy+y2+9x+3y-6=0

Q: What is the 8th partial sum of 10,000-2,000+400-80+7 Round your answer to the thousandths place.…

A: The given sequence is: 10000-2000+400-80+... To find the 8th partial sum.

Q: Determine the open intervals on which the graph is concave upward concave downward. (Enter your…

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Q: 5. Prove the identity: cot(A + B) cot(A − B) = cot² B tan² A tan² A cot² B - 1 3J

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Q: A function is given. Determine the average rate of change of the function between the given values…

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Q: Find the transfer function, G(s)=C(s)/R(s), corresponding to the differential equation, d³c dt3 +30²…

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Q: Consider the function f(x) = (4 - 5x)7. Find the second derivative f"

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Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Determine the directional derivative of f(x, y, z) = xe³+xsinz+x²y at the point (2,0,4) in the…

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Q: f(x, y) = x4 + 13x³y³ - 5xy4 + 14

A: Given: fx, y=x4+13x3y3-5xy4+14To Find: To determine ∂f∂x and ∂f∂y.

Q: : x-2y+3z-1 = 0 and the line 1 : x = Consider the plane 1. Find the point of intersection of and 1.…

A: Given: x-2y+3z-1=0x=1-y2=z+1

Q: ·bounded by x² + 2y = 4 and and determine: - Sketch the area x+y+2=0

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Q: 14. y' + y tan x = sec x

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Q: For each positive integer n, define an = n² sin +∞ 1. Determine if the sequence {an} converges or…

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Q: H.w: Find the Fourier series for the following functions: 1- f(x) = 1+ 1- - 2x x 2x x -π < x < 0 0 <…

A: Fourier series of f(x) in the interval [a, b] is  f(x)=a02+∑n=1∞anCos2nπxb-a+∑n=1∞bnsin2nπxb-a where…

Q: Find the Fourier series for the following functions: {3¹ f(x) -2≤x≤0 0≤x≤2

A: Given functionf(x)=-1     if   -2≤x≤03        if       0≤x≤2

Q: What is the equation of the tangent line to the curve y=−5x^2+4x+7 at x=-1? Write the answer in…

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Q: (i) Consider the function f: R\{-2,3} → R defined by 2x³4x²5x - 3 x²-x-6 f(x)= - (a) Prove, using…

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Q: 9. dt + 을 = COS t + Answer: s = sin t + 을..

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Q: OC Find the derivative of the function y = dy dx dy 8 dx dy dx dy = - 8 x-4/5 ∞ 188 5 8 x-2/5 x 5²…

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Q: The table gives a partial set of values of a polynomial h(x), which has a leading coefficient of 1.…

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Q: Find an equation for the tangent plane to z = f(x, y) at (3,-2) if the differential at (3,-2) is df…

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Q: Consider the graph below and determine the open intervals on which the function is increasing and on…

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Q: A sequence is shown in the graph. (1,6) 2 (2, 3) (3, 1.5) (4, 0.75)

A: Given Figure :-

Q: tan Find the integration of 1₁ 1+z²

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Q: Given the following table with selected values of f(x) and g(x), evaluate f(g(3)). x -6 -4 1 f(x)…

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Q: Consider points P(-1, 3), Q(1, 5), and R(-2, 8). (a) Determine vector PQ and express it in component…

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Q: D Question 24 Suppose that P= f(t) is the population (in millions) of the country & years after the…

A: We can find the answer as below.

Q: Sketch the area bounded by x^2 + 2y = 4 and x + y + 2 = 0 on the image below and determine the…

A: volume of above function is π×175.19 cube unit

Q: B Consider the function f(x) = -4x²+7x+6. Interpret the meaning of f'(-7)= 63. O The average rate of…

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Q: 200000 Find the limit algebraically by factoring the expression first: lim 211 0 Limit Does Not…

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Q: If evaluate f f(x) dx = 7 f(x) dx = 8 f2f (x) dr.

A: Topic = Integration

Q: Type the left side of the equation of the ellipse. Which graph shown below is the graph of the…

A: Topic:- geometry

Q: 76°F Partly sunny -6-5-4 -3-2 y range 6 5 4 X = 3 2 1 (a) Find h(-2), h(0), h(2), and h(3). h(-2) =…

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Q: Show that lim (x,y) →(0,0) 16x4 +9y¹2 4x² + 3y6 does not exist.

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Q: Set-up the double integral that will solve for the volume of the solid in the first octant bounded…

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Q: "풍 2 secx dx tan³x + 4 tanx

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 00 Σ n = 1 Identify…

A: To use the ratio test so that we can determine the convergent and divergent of the given series.

Q: 2 Given an = n² sin for all positive n converges Determine whether the sequence {an} Determine…

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