Consider the following. Find its foci. Find an equation of the ellipse. smaller x-value 2 larger x-value (x, y) = 2 (x, y) = CL -(1 .

Q: Find div F and curl F if F(x, y, z) = 10y³zºi – 8x³z¹ºj – 5xy³k. div F= curl F=

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Q: Determine if 4x² + y = -5 is an ellipse. O Not an Ellipse O Ellipse, we can write the equation of…

A: Here given that 4x2 +y =-5  now  4x2 = -(y+5) x2 = -(y+5)/4

Q: Find the limit. lim (t i − 4 j + t² k) : = t→8 i i+ i lim (t i 4 j + t² k) t→8 j+ i

A: Given query is to find indicated limit.

Q: Differentiate from first principle y = 5x²³² +22² +32 +4

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Q: Find a power series for the function, centered at c. 8 5-x £( n = 0 f(x) = C = 1 Determine the…

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Q: Find the exact value, if any, of the following composite function. Do not use a calculator. (-)] 16…

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Q: Sketch the region D of integration, and then evaluate the integral by reversing the order of…

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Q: Find the indefinite integral. S Step 1 / sin sin³ 70 √ cos 70 de To solve the integral Therefore,…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $43…

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Q: ← + New ▶ LO (F ☆ 0 Screenshot (1907).png 2011- Files Find the Wronskian of two the functions y₁ =…

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Q: equa 5 itions all approach y = 4 = 5 5 4 a - Y as t →∞. dt

A: Topic:- application of integration

Q: A trader buy's 80 mangoes. she finds that 8 are bad and a further 22 are unripe ,show on a pie chart…

A: Given data:- Total number of mangoes = 80 Bad mangoes = 8 Unripe mangoes = 22

Q: Differentiate the function f(x) = 7√x - 2. (Use symbolic notation and fractions where needed.) f'(x)…

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Q: Verify Green's Theorem by evaluating both integrals for the given path. + ON ax C: rectangle with…

A: In this question, we want to verify the green's Theorem.

Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x²y - 5xyz + 10yz²…

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Q: Suppose f(x) = x² 11 (a) The rectangles in the graph A illustrate f(x) on the interval 4 ≤ x ≤ 8.…

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Q: Evaluate the integral. √3 5 1/√31+x² dx

A: NOTE: Refresh your page if you can't see any equations. .

Q: If 0 ≤ an ≤ b, and Σb, diverges, then Σan diverges.

A: Let's solve.

Q: ← + Ⓒ Screenshot (1909).png + New ▶ My Drive ▶ Co Computers Shared with me Recent Starred Trash…

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Q: Consider the following. 4x -y + z = 6 Sketch a graph of the plane... O Y_6 X6 Y_6 X6 4 -4 4 2 N N 6…

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Q: prove that the function f(x) = e¯* sin(x) satisfies the е differential equation ƒ (x) + ƒ'(x) = e¯ª…

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Q: y(t) = C₁ e-5t + c₂ e-6t

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Q: Evaluate the integral (8 (8x+15y)dx + (27x - y)dy along the parabolic arc y = x² from (0,0) to…

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Q: f(x, y) = 9xye(x² + y²) f(0, 0) = f(0, 1) = = f(1, 1) = ==== f(-1, -1) =

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Q: Answer true or false. F(s) = s²/(s² + 4) is not the Laplace transform of a function that is…

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Q: Use an appropriate linear approximation to estimate (Round your answer to three decimal places.)…

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Q: EN Current Attempt in Progress w Use Green's Theorem to evaluate the integral. Assume that the curve…

A: Double Integral is done

Q: 5. y=x² + 4x+5

A: Given the query is to find absolute maxima and minima.

Q: Given the graph of f' below, which of the following is (are) true about f at x=a? (a) f is…

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Q: Question Find the linear approximation L(x) of the function f(x) (Enter an exact answer.) Provide…

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Q: Which is (are) an implication(s) of the completeness property of R? (a) A nonempty bounded set of…

A: Completeness property of R:  If A⊂R has an upper bound, then it has a least upper bound.  If A⊂R has…

Q: Give the General Solution of the following Differential Equation 1. (ex-y)(1-e²y)1/2 dx = dy

A: The given differential equation is: ex-y1-e2y12dx=dy To find the general solution to the given…

Q: Find the general solution of the differential equation. (Enter your solution as an equation.) dy 8x…

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Q: 2. (2xy-tan y) dx + (x²-x sec² y) dy Answer: x²y - x x tan y = C. = 0

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Q: Evaluate I C: arc on y = x³/2 from (0, 0) to (4, 8) (2x −y) dx + (x + 3y) dy.

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Q: If sec(x) 28 9 Give exact answers. sin(2x) = cos(2x) = tan(2x): = (in Quadrant 1), find Submit…

A: Given the query is to find the value of indicated angles.

Q: Your answer is correct. Find a differential equation whose general solution is = = C₁e⁹t + c₂e-³t.

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Q: Find a differential equation whose general solution is 7t y = c₁e¹t + c₂e-2t. y" - 5 y' - 14 y = 0 ✓

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Q: Show that the line y = -10x + 20 is tangent to the curve y = x4 – 4x^3 – 5x^2 + 26x – 16.

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Q: Hello

A: f(x,y) = 3x + 6y - 1 To calculate the value of f(x,y) at point(x,y) substitute value of x and y in…

Q: An infinite series Ex_n converges if the sequence (S_n) of partial sums given by S_n=x_1+x_2+...+x_n…

A: Here, the given series is: ∑n=1∞1n(n+1) Let,  xn=1n(n+1), n≥1     =(n+1)-nn(n+1)     =1n-1n+1

Q: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

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Q: g Determine whether this is a parabola: y = − 3x² – 12x – 11. O Parabola O Not a parabola - If it is…

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Q: Evaluate the following integral. Sx² e 19x dx --- 2 Let u=x. Use the integration by parts formula to…

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Q: Use the formula k(t) k(t) = TEREST {|r' (t) × r"(t)|| ¡|r' (t)||³ r(t) = esti + e-tj to find (t).

A: The given curve rt=e5ti+e-tj

Q: Find the first partial derivatives of the function.

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Q: f f(c)=0, then f(c) is a relative maximum or a relative mi Always Be My Baby Sometimes Love Just…

A: Topic:- calculus

Q: Find the general solution of the given differential equation. dy 2 +6y=3 dx x(x) = 2 Give the…

A: To find the general solution of the given differential equation.2dydx+6y=3To give the largest…

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (3t+1)i + tj, 0sts 1

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: The given nth term is: an=27n+7 Determine the convergence or divergence of the sequence with the…