Show the final answers using EXACT values only, not calculator-ba Show complete solutions. Evaluate the following expressions. 17π sin-¹ (cos ¹7)

Q: Describe the graph of the equation. r = 18 sin 27 i+ 18 cos 2t j It is a circle of radius 18 in the…

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Q: Find the limit, using ALGEBRAIC techniques written down (not just by graphing): lim x →9 √x - 3 X -9

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Q: Find all points of inflection and discuss the concavity of f(x) = x^2 *(3x - 5)^1/3

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Q: Find the curvature and the radius of curvature at the stated point ㅠ r(t) = 11 cos(t)i + 10 sin(t)j…

A: The expression for the curvature is: κ=r't×r''tr't3 And The expression for the radius of the…

Q: Given the information below, find the following: Round all answers to 3 decimal places. If no answer…

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Q: Evaluate the line integral C:y² = 30x from (30,30) to (0,0). NOTE: Enter the exact answer. [-ydr +…

A: line integral

Q: Given tha

A: Given :  g(x)=2x+10x≤-3x2-5x>-3   for the function to be continuous

Q: and the first partial derivatives with respect to x, y, anc 5xz x + y W W W || II || W =

A: Topic:- application of derivatives

Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 2, t> 0

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Q: Find ▼ × (V × F) if F(x, y, z) = 10xyj + 5xyz k. ▼ × (▼ × F) : =

A: To find ∇×∇×F if Fx, y, z=10xy j+5xyz k.

Q: appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace 1 { (s² + 1)(s² + 25).

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Q: Find the value of b for which the differential equation (ye5ay + x) dx + (bxe5y) dy = 0 is exact,…

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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: 4. Consider the function f(x) = 3, a) Evaluate lim ƒ(x) and lim_ f(x). x-0+ x-0- c) Is f(x)…

A: Let's solve limit problem.

Q: Determine whether following series convergent or divergent. Indicate the test you are using. If you…

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Q: Find div F if F(x, y, z) = (x² + y)i + z²j + (eY - z) k.

A: Our Aim is to find the value of div F if F(x,y,z)=x2+y i +z2 j+ey-zk -(i)Let  F(x,y,z)=x2+y i +z2…

Q: Find the general solution of the given second-order differential equation. 6y"+y' = 0

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

A: Double Integral is done

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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Q: please write on the paper. I dont know how to write it. Thank you

A: Given function:- f(t) =(e2t -e-2t)2

Q: Set up a double integral that gives the area of the surface of the graph region R. ƒ (x, y) = xª –…

A: Topic:- application of derivatives and integration

Q: 8. DETAILS ZILLDIFFEQMODAP11 7.2.017. Use appropriate algebra and Theorem 7.2.1 to find the given…

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Q: What is the coefficient of the term containing x^7y in the expansion of (3x + y)^8?

A: Topic = Algebra

Q: Given the function below f(x) = -75x³ + 200 Find the equation of the tangent line to the graph of…

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Q: Determine the vector field of F. F(x, y) = yi-xj X X

A: Solution: F(x,y) = yi - xj We can sketch it by looking at a small number of vectors to get a general…

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

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

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Q: An automobile company is ready to introduce a new line of cars through a national sales campaign.…

A: Given that,

Q: (Q8.6) Choose five other iterated integrals that are equal to the given iterated integral. 10 10 10…

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Q: Determine whether the differential equation (8x² - 2xy + 2) dx + (7y² - x² + 8) dy = 0 is exact. If…

A: To solve the given differential equation

Q: y = x -1 and y2 = x + 1 Set up the limits of both iterated integrals (No evaluation!): ∫ ∫ f(x,y)…

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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: Which equation of a circle has the center, C, and radius, r, as shown in the graph? -3-2 7 T of 7 T…

A: The circle has center C3,-2 and radius 26

Q: Which of the following is true when a plane intersects a cone to form a parabola? The plane slices…

A: The objective of the question is choose the correct option to make a parabola

Q: sin 2xdx 2+cosx

A: Our Aim is to evaluate the given indefinite integral using U-Substitution.∫sin (2x)2+cos (x)dx-(i)

Q: Find both first partial derivatives. f(x, y) fx(x, y) = fy(x, y) = ху ,2 x + ,2

A: Find the partial derivatives

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: ad curl F if F(x, y, z) = xz7i+ 5y¹¹x²j + 6z²yk. d with CamScanner

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Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = 4 4π√ 16x² - 1 :or 1 xV 16x²-1 2

A: Topic = Derivative

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the…

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Q: Screenshot (168 Screenshot (168 Determine whether the differential equation (2x² − 2xy + 3) dx +…

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Q: Find the value (2) for a solution (2) to the initial value problem: y(lnx In y 1)dx + xdy=0; y(1) =…

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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 solution of the given initial value problem: y(t) = = y""+y' = sec(t), y(0) = 9, y′(0) = 3,…

A: To find the solution of the given initial value problem.y'''+y'=sect, y0=9, y'0=3, y''0=-2

Q: Consider the following. Find its foci. Find an equation of the ellipse. smaller x-value 2 larger…

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Q: Find the domain of the vector-valued function. r(t) = n(t) 0 (-∞, +∞0) O (1, + ∞ ) O (0, +∞ ) O [1,…

A: Find the domain for all three components and then take intersection of those.

Q: Applying Lagrange Multiplier, what is the minimum value of f(x, y) = x² + y2 where x > 0 and y> 0…

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Q: 1 For r(t) = − i − j + m(1) k - j + ln(t)k and u(t) = t²i − 2tj + k. t d Find [r(1) · u(1)] ²3 +…

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Q: 1. By eliminating the parameter t from the following parametric equations, find an equa- tion in…

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