-9-8-7-6-54-3-2-1 8 7 > Next Question 1 65 6 4 3 2 + -2 -3 -5- 5 7 -6 7 -8- 9 y be 1 2 3 4 5 6 7 8 9 Write an equation for the ellipse graphed in standard form.

Q: b B 34° Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

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Q: S- - ydx + xdy, C: y² = 3x from (3,3) to (0,0) 01 0 3 O 0 2

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Q: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?.

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Q: If √√x + √√y = 8 and y(4) = 36, find y'(4) by implicit differentiation.

A: Given that x+y=8 and y4=36 we have to find y'(4)

Q: Find T(t) and N(t) at the given point. t x = e¹ cost, y = e¹ sint, et sint, z = zet; t = 0 T(0) N(0)…

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Q: multiple

A: We have to find the value of the given integral according to the given information

Q: Find the rate of change of f(x) = (Use symbolic notation and fractions where needed.) (a) c = 0…

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

Q: Find div F if F(x, y, z) = (x² + y)i + z² j + (ey - z) k. O 2x - 1 O 2xy - 1 O 2xi-k O 2xy i+ k

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Q: Evaluate the integral [(4x + 15y)da + (6x − y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

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Q: solving

A: Please refer to the image below

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

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

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Q: 10. DETAILS ZILLDIFFEQMODAP11 4.1.027.MI.SA. MY NOTES Tutorial Exercise Consider the differential…

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

A: We need to find Laplace transform.

Q: y = (6 (6+4.x) Use Logarithmic Differentiation to find dy dx dy dx Type sin(x) for sin(x), cos(x)…

A: Given query is to find the derivative.

Q: function f is given, and the indicated transformations are applied to its graph (in the given…

A: Given the query is to find the equation of the the function after transformation.

Q: Let f(x) = (x³ +25)/4. The arc length of the graph of y = f(x) over the interval [6, 10] is given by…

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Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A: Use integration  with respect to x

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: Use the graph to determine the intervals on r concave downward. 10 4 1.5 X 10 а.

A: Here we have concave upward and concave downward.

Q: Find the average value of on the interval [1,12]. favg Now, find e such that ln(c) = favg. = 2.61 C…

A: Given the query is to find the average value of the function.

Q: II. Consider the function f(x, y) defined for all (x, y) by ƒ(x, y) = 232/32 + 2xy + 4x²y (a) Find…

A: Here we have to find the critical points.

Q: If r(t) = (e³t, e-4t, t), find r'(0), T(0), r"(0), and r'(0) x r"(0). r'(0) = II T(0) = r"(0) =…

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Q: or Questions 1-3, use the differential equation given by 1. Complete the table of values -1 X y dy…

A: Put value in function

Q: 2. Find the equation of the tangent to the functions g(x) = (x −4)² at its y-int. You must use an…

A: Solution:

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: Find the absolute maximum and minimum of f(x,y)=4x+3y within the domain x^2+y^2≤16 Please show your…

A: Concept: Absolute maxima of a function refers to its highest point within its whole domain, whereas…

Q: Find the value of the constant k so that the differential equation (e-9 + cos x + kxy)y' = y(y + sin…

A: Using the fact that an exact differential if dM/dy=dN/dx

Q: Let y = tan (2x + 6). Find the differential dy when x = 4 and dx = 0.2 Find the differential dy when…

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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: Decide whether each labeled point is an absolute maximum or minimum, a relative maximum or minimum,…

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Q: A moon's elliptical orbit around a planet is modeled by the equation 225x² +576y² = 176,400, where…

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Q: given 8x+5w+xw+2x2+0.3w2, find the optimum point

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Q: X- 2 me graph below. on graph to enlarge) 110 1,0

A: Topic:- calculus

Q: Give the Particular Solution of the following Differential Equation d²y 3 +2 dx² IBC: y(0) = 2 y'(0)…

A: The given differential equation is: 3d2ydx2+2dydx-8y=0 So, we can also write as; 3D2+2D-8y=0   The…

Q: Solve the initial value problem y" — y' — 12y = 0, y(0) = a, y′(0) = 15. - Find a so that the…

A: We need to solve the initial value problem and also need to find out the value of a.

Q: A point is moving along the graph of a given function such that dx/dt is 2 centimeters per second.…

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

A: As per the instruction, we will be answering the first one. For (a), Given: Now,…

Q: O Question 9 Find f'(a) if f(x) = arctan(In z). 1 z (1+x²) 1 a sec²(In 2) 1 1+ (In 2)² 1+ 1 ()* 1…

A: To find the derivative of given function.

Q: ind V. (V × F), if F(x, y, z) = = V. (V X F) = ezi+ 6xe¹j - 3ek.

A: Topic:- vector algebra

Q: Let f(x)=√x - 5. f(3 + h) – f(3) h Then lim h→0 If the limit does not exist enter DNE.

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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: 4 If cos(0) and is in the 4th quadrant, find sin(0) 5 Give exact values. No decimals allowed! If the…

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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: dN dt The rate of change of N is proportional to N. (Use k for the propor kN N(t) = Cekt Evaluate…

A: We are asked to find the value of N when t = 3

Q: Use logarithmic properties to expand the following logarithm as much as possible into a sum and/or…

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Q: Give the Particular Solution of the following Differential Equation d² y dy +2 -8y = 0 dx² dx IBC:…

A: To find the particular solution of given differential equation.

Q: Given: f(t) = 8 sin23t. Evaluate: F(1) Use 2 decimal places.

A: f(t) = 8 sin23t.

Q: Find curl(5zi + 6xj + 3yk).

A: Our Aim is to find the curl 5z i^+6x j^ +3y k^-(i)

Q: Describe the graph of the equation. r = 18 sin 3ti - 18 cos 3t j O It is a circle of radius 18 in…

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