(-tanx) ydx + Inlexy cos x| dy = 0

Q: You go to the doctor and he gives you 16 milligrams of radioactive dye. After 20 minutes, 7.5…

A: We will solve this problem.

Q: Find equations of the spheres with center (2, -3, 5) that touch the following planes. (a) xy-plane…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Find az/ax if - z = x² sin(xy³) O x³y4 cos (yx³) + 4y³ sin(x³) O x³y³ cos (xy³) + 4x³ sin(xy³) x4y³…

A: Find the derivative

Q: Consider the following second-order differential equation. 2y" + y = 0 Find all the roots of the…

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Q: (c) Find a function f such that F = Vf where F(x, y, z) = yzi+xzj + (xy + 2z)k.

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Q: 1. (Use a calculator) Write down the equation used to evaluate the following expressions, and then…

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Q: Find 1) the eigenvalues of matrix B 2 -1 -1 0 2 -1 2

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Q: Solve for t, 0 < t < 2π 14 sin(t)cos (t) = 8 sin(t) t = 0.96,5.32 Give your answers accurate to at…

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Q: *T/2 10 cos(0) r dr de

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Q: 3 Solve the following ODES by Inverse Operator method. 2X (D²³ +1) y = 3+* +52x ● X/2 Ans: y=c₁e³+…

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Q: Find y" in Exercises 71-78 1 X 71. y = 1 + 3

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Q: Given f(x) = 2x² and g(x) = 4x + 5, evaluate each expression. (a) f(g(0)) (b) r(s()) (c) g(f(0)) (d)…

A: topic- composite functions Note: As per bartleby guidelines, we are supposed to answer only first…

Q: Solve the following ODES by Undetermined Coeff 11 X 4X y 16 y = 19.2 € + 60 e - , уса) =ўс=0 THY 4X

A: This is a problem of ODE. Please follow the procedure given below.

Q: An exponential function f(x) = ab passes through the points (0, 3) and (3, 375). What are the values…

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Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

A: Given y''+y=csc(x) Complementary solution: We will solve this equation by variation of parameters…

Q: 2 2 6 8

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Q: Match the differential equations and the description/s that is/ are true to the differential…

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Q: Write an equation for the function graphed below. The y intercept is at (0,-0.2) -7 -6 -5 -4 -p 2 y…

A: To find the equation for the function.

Q: (-3x)² +1 if x # 4 3x + 13 if x = 4 Calculate the following limits. Enter "DNE" if the limit does…

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Q: (b) Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: 23. Express each of the following as a logarithm. Use a calculator to evaluate your answer correct…

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Q: 3 Find the Cartesian coordinates of the following points (given in polar coordinates): 3.a (√2, π/4)…

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Q: Find all values of x and y such that Px(x,y) = 0 and P Py(x,y)=0 simultaneously. P(x,y) = 5x² -…

A: Topic = Algebra

Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A: The given surface is zex^2-y^2-1=0 and point (6,6,1).

Q: e) Find the linear approximation of the function f(x, y, z) = x³y² + z² at the point (2, 3, 4) and…

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Q: Module A car dealership increased the price of a certain car by 4%. The original price was $44,400.…

A: As per given question  We have to determine new price of car

Q: Find the gradient of the function In(x² − y) – 1, X Vz(2, 3) = Z at the given point. (2, 3)

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = X, (1, 7, 7) 10 5…

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Q: 1. Find and classify all critical points of the function f(x, y) = x² + y²-3x - 4y.

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Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² x…

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Q: 8. Calculate the following limits. In z lim → 2²-1 (b) [ 1³-1³ 0 e + cos2-1-2 lim

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Q: Find f(x,y) and fy(x,y). Then find fx (2, -1) and fy (-4,3). f(x,y) = In 5x4 +8x²y²| fx(x,y)=…

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Q: Use the Laws of logarithms to rewrite the expression 3 (212. √/y13 in a form with no logarithm of a…

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Q: 5. [tan³x sec³x dx

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Q: Solve the following ODES by Undetermined Coef D Ş 17 4X y - 16 y = 19.2 e + 60e, y(a) =ý (os. 4X -4X…

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Q: Write an equation for the function graphed below -7 -6 -5 -4 -3 -2 5+ 4- 3- 2 1 -2- -3 -4- -5+ 1 2 3…

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Q: Average Cost The total daily cost (in dollars) of producing a mountain bikes is given by C(x) =…

A: Given, C(x)=7000+4x+0.7x2

Q: 1) State the vertical asymptotes of f(x)= a. x=6₂x=-2 b. x=6, x=2 1 x² - 4x-12 c. d. x=-6, x=-2…

A: Given:         fx=1x2-4x-12 Vertical Asymptote:     For rational functions,the vertical asymptotes…

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Consider the following. u =(-4, 0, 2) v = (7, -7, 0) Find u x v. Determine if u x vis orthogonal to…

A: topic- vectors if dot product of two vectors is zero, then both are perpendicular to each other.

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

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Q: Evaluate each expression based on the following table. X f(x) (a) f(2) - f(-2) (b) f(-1)f(-2) (c)…

A: To evaluate the given expressions.  From the given table.

Q: 12 f(x) = x² - 6x² + 2 Determine the intervals on which f(x) is increasing/decreasing and identify…

A: Given,  f(x)=x125-6x25+2

Q: Find a set of parametric equations for the line passing through the point (7, 0, 2) that is parallel…

A: We are asked to find the equation of the line.

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: What intervals must be considered for finding solutions to the inequality x > 5-º? C. 03 d. x 3 a.…

A: Follow the procedure given below.

Q: Evaluate the definite integral: f (x · cos(2x)) dx. Enter the exact decimal value. A graph of y = x…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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

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Q: 2. (x + y) dx + (3x + 3y − 4) dy = 0

A: The given differential equation is;  (x+y)dx+(3x+3y-4)dy=0.