1. Using the limit definition of the derivative, determine if the function f defined below is differentiable at t = 3: f(t) = 3, 2t - 6, t-3, t≤ 1 13

Q: Find the partial derivatives of the function Ow Or dw Əs Ow Ət w = √√√9r² +88² +8t²

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Q: 60. Total cost from marginal cost. Solid Rock Industries determines that the marginal cost, C'(x),…

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Q: find the exact solution 40=3(1.15)^t

A: Given query is to find the value of t.

Q: Bernoulli's Equation Obtain the particular solution when x=3 and y=2: 2xyy' = y² - 2x³

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Q: Find the critical numbers g(x) = x1/3 - x-2/3 *please use handwriting not typing, I understand it…

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Q: Find the point on the curve r(t) = (5 sin t)i + (-5 cos t)j-12tk at a distance 26 units along the…

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Q: 8) The volume of the solid generated by revolving the region bounded by 3π 5Tt y = cos x, y = 0,…

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Q: Σ(-1)" n=1 Σ(Η) ΣΤ n=1 71 m=1 (-3)" 2" n=1 27

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Q: Find the coordinates of the point (x, y, z) on the plane z = 2 x + 3y + 2 which is closest to the…

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Q: 2-x The function f(x) = has x²-6x+5 two Vertical Asymptotes and one Horizontal Asymptote Select one:…

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Q: If f(x, y, z) = xe² sin (42), then the gradient is Vf(x, y, z) =

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Q: find it's derivative and solve for its critical points

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Q: For which of the following values of B, the function f(x) is continuous everywhere? f(x) = 3-√√√x…

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Q: Find the second derivative of the function. f(x) = x In(√x) + f"(x)= = + 6x

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Q: Consider the function g given by g(x)=|x−6| +2.   ​(a) For what​ x-value(s) is the function not​…

A: A function is non-differentiable when there is a cusp or a corner point in its graph.   Given :…

Q: The DE M(x,y) dx + (3e-4x + 7y) dy=0 is an exact differential equation if O M(x,y)=-12ye-4x-8y O…

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Q: Find the integral using an appropriate trigonometric substitution. S 1 x² √√x² +25 dx O √x² +25 +C…

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Q: Find the equation of the surface in Cartesian coordinates, given the equation in cylindrical…

A: Given , r=-10cosec(theta)

Q: 11. INSTRUCTIONS: Two cars start moving from the same point. One travels south at 60 miles per hour.…

A: Given

Q: 4s + 4 Consider the function F(s) s³ - 3s² + 3s - 1 a. Find the partial fraction decomposition of…

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Q: In order to solve the following Bernoulli's equation dy dx we use the substitution e+3 Select one:…

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Q: A projectile fired from the ground follows the trajectory given by the following equation, where is…

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Q: Determine whether the statement is true or false. ln a − ln b = ln(a − b) for all positive real…

A: Determine whether the statement is true or false. ln a − ln b = ln(a − b) for all positive real…

Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising…

A: Given : xy − 60x + 12y = 0 for x = 12

Q: A rotating light is located 18 feet from a wall. The light completes one rotation every 3 seconds.…

A: we will find the required.

Q: Write an equation for the line through the point (-5, -6) and parallel to the line y=9c-9 in…

A: Both line is parallel so slope will be equal for both  and then put the all given values .

Q: A) f(x, y) = x² - y. Sketch 4 level curves of f(x, y).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use a finite sum to estimate the average value of f on the given interval by partitioning the…

A: Given, Use a finite sum to estimate the average value of f on the given interval by partitioning the…

Q: Find f'(x²) if f(x²)] = xº.

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Q: Find the radius of convergence and interval of convergence of the series. (-8)" x √n R = 8 I = Σ n=1…

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Q: In the same problem, can you review D?

A: NOTE: Refresh your page if you can't see any equations. . the answer for Part(a) is partially…

Q: Consider the function f(x) = ²/2 + x²/12 + x²/2 - 3x (a) Use the Intermediate Value Theorem to show…

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Q: Determine whether the statement is true or false. If f(x) = (x9x4)5, then f(46)(x) = 0. True O False

A: We need to write down that the given statement is true or false.

Q: Find a formula for the inverse of the function g(x) Answer: g=¹(x) = ez 3+ 4e

A: Let g(x)=y and than try to write x in terms of y ..

Q: If √√√x + √√y: = 6 and y(25) = 1, find y' (25) by implicit differentiation.

A: If x+y=6 and y25=1, then to find y'25 by implicit differentiation.

Q: The following differential equation can be reduced to the linear equation by the 1 substitution u =…

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Q: Find the partial derivatives indicated Assume the variables are restricted to a domain on which the…

A: zx : hold "y" constant -- treat it as a known constant, letting only x be a variable. zy: hold "x"…

Q: x+6y=12x6₁ dx for the above linear equation if the initial condition is y(1)=2, then the constant c…

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Q: Given f''(x) = ƒ(7) Find f 4 sin(2x) and f'(0) 3 and f(0) = - 3.

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Q: This question reviews the process for integrating definite integrals using u- substitution and…

A: use the substitution method for finding the integral.

Q: Enclosing the Largest Area The owner of the Rancho Los Feliz has 3300 yd of fencing to enclose a…

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Q: (2) The contour diagram of g(x, y) is given below. 2 -2 -2 -3 -2 -1 0 2 (a) Clearly label a point P…

A: The given contour diagram of gx, y is given below:

Q: Given that L cos(2t) √πt cos(2t) find the Laplace transform of t c{√= } = = e-2/s t cos(2t).

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Q: Calculate all four second-order partial derivatives of f(x, y) = (4x + 3y) e". y) = =

A: ∂ (xn)∂x=nxn-1∂  ∂x(constant)=0

Q: For the series -2 + 3 + (-9/2) + 27/4 + …, S14 =

A: It is a Geometric Progression where first term is -2 and common ratio is -1.5

Q: 21. y =(x-3)√x

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Q: Find the local maximum and minimum values of f using both the first and second derivative tests.…

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Q: Find the volume of the solid whose base is the semicircle y = √1 - x² where -1 ≤ x ≤ 1, and the…

A: To find:- Volume of solid whose base is the semicircle y=1-x2 where -1≤x≤1and the cross sections…

Q: Find all the first and second order partial derivatives of f(x, y) = -7 sin(2x + y) + 5 cos(x - y).…

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Q: STRUCTIONS: Differentiat respect to x) using any method. (x) = √x + 2x X _x) = x sin-¹(x)

A: Topic:- application of derivatives