Find zxand zyif z = x² tan¯¹ (²) — y² tan¯

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x2;  R(x) = x3 + 5x…

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Q: 14. Find a y=r³ parametrization for the path that travels along the graph of z from (-1,0) to (1,0).

A: To find the parametrization of the path that travels along the graph of y=x3-x from (-1,0) to (1,0).

Q: 10) A semicircle of radius 2r is inscribed in a rectangle so that the diameter of the semicircle is…

A: The length of the rectangle is l = 22r = 4r The width of the rectangle is w = 2r Formula Used: The…

Q: Graph the function and identify intervals on which the function is increasing, decreasing, or…

A: In order to find range we have to check for maxima and minima

Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

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Q: Now using L'Hospital rule evaluate the following: sin x tan x a) lim x →0 x³ b) Evaluate the limit…

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Q: 7+3 + 4-2 Y-3

A: SOLVE THE GIVEN

Q: Solve the following inequality for : Express your answer using interval notation. z²+3x-40 <0…

A: x2+3x-40&lt;0

Q: For y = f(x)=x²-7x³ +5, find dy and Ay, given x = 1 and Ax= -0.1. dy = (Type an integer or a…

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Q: The curvature of a plane parametric curve x = f(t), y = g(t) is given by |x y - yx| [x² + y2]3/2…

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Q: V. SA/9623/2-4,1¹/2 dx

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Q: 1 + X+3 1 x 11 2+2= २ 1 2 4 x ²

A: To solve for x

Q: Let h(x) = tan (2). Which of the following best describes its fundamental algebraic structure? A. A…

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Q: The graph of a function f is shown. 800 400 20 40 60 (a) Find the average rate of change of f on the…

A: we need to answer the questions from the graph.

Q: x-2 13) Consider the function f(x)=x-[x] where [x] is the greatest integer less than or equal to x.…

A: Please see the below picture for detailed solution.

Q: 3. Let y = (f(x) + 5x²)4 and suppose that f(-1) = -4 and = 3 when x = -1. Find f'(-1). dx

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Q: Determine the solution xy³ dx + ye of the 1st Ordered Differential Equatio *dy = e*dy

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Q: Solve the given initial value problems. y'' - 4y' + 4y = 0, y(1) = 1, y'(1) = 1

A: To find out the solution of the differential equation.

Q: 21-22 (a) What are the domain and range of f? (b) What is the x-intercept of the graph of f? (c)…

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Q: Laplace (d^2y/dt^2) + 6(dy/dt) + 9y = cost y(0)=1, y’(0)=2 What is Y(s) and y(t)

A: We know the following. L{y''}=s2Y-sy(0)-y'(0)L{y'}=sY-Y(0)L{y}=Y Now,              y''+6y'+9y=cos t,…

Q: If a ball is thrown into the air with a velocity of 42 ft/s, its height (in feet) after t seconds is…

A: We have to find the velocity when t = 1 second.

Q: 4) Given that lim f(x)=3, what is the value of lim (2 f(x)-5) ? x-4 x-4 A) 3 B) It doesn't exist C)…

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Q: Bounds

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Q: Find the G.S. (6x+y2) dx + (2xy-3y2) dy =o

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Q: Estimate f′(1)f′(1) where f(x)=x^3+1x^2−19x+4 to within one decimal place by using a small enough…

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Q: Use the given graph of f to find a number & such that if 0 < x - 3| < & then. If(x) - 2| < 0.5. y 8…

A: Given graph:-

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(4, 2, 4),…

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Q: 3) If x³ ≤ f(x) ≤ x for x in [-1,1], find lim f(x) if it exists. x-0

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Q: Question 16 of 30 Step 1 of 1 01:28:22 You just bought a fish tank that is 27 in. long, 24 in. wide,…

A: Given query is to find the volume of the fish tank.

Q: Shade a Venn diagram to represent (AUC) nB'. I C IV b Review shading Venn diagrams here. 01 O II III…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: The absolute maximum value is (Use a comma to separate answers at x = as needed.) The absolute…

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Q: show complete solution

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Q: The distance (in feet) of an object from a point is given by s(t)=−5t^2+1where t is in seconds.…

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Q: < For y = 174√√x, find dy, given x = 9 and Ax = dx = -0.14. dy = (Simplify your answer.)

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Q: 5. Show the equation sin² x + 2x = 3 3 has exactly one solution. has exactly

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Q: For the polynomial, one zero is given. Find all others. 4) P(x) = x3 - 7x2 + 15x - 25; 5

A: NOTE: Refresh your page if you can't see any equations. . the given root is x=5 so take the…

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: We have given the dimensions of the cardboard sheet i.e.  Let length is = 13 in.  breadth is = 8 in…

Q: Find the curl of the vector field F(x,y,z)=x^2yi-2y^3zj-3zk.   A. curl F = 2y3i + x2k          B.…

A: Option (c) correct  For detail...go through the solution

Q: below. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit doe

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Q: Minimize the function M=3x² + 3y² subject to 2x+y=64 and find the values of x and y at which M is…

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Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

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Q: A ladder 15 ft long leans against a vertical wall. If the lower end is being moved away from the…

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Q: Solve for y' if y = sec55x - tan²5x A. 0 B. 1 If y = x[sin-¹ (sin x)], find y' A. 2x B. -2x C. 5…

A: (1) Given that , y=sec55x-tan25x y'=?

Q: Area: In the following items, find the area bounded by the curve or lines. Sketch its graph. b. x =…

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Q: Find f'(a). f(x)=√1 - 6x

A: f(x) = 1-6x here we have to derivate this function we use chain rule for that  further given in…

Q: Let u, ER" prove that ||ū + ï|| ≤ ||ū|| + ||v||

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Q: A salesman sold ​$300 more than the rest of the sales staff. If the sales total for the day was…

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Q: Evaluate lim 1-cos3x x→0 tan 2x

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Q: N 2 -3 EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²-8x + 9 at the point (2,…

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Q: 5 Spending on travel and tourism (in billions of dollars) for the years 1991-2009 is given in the…

A: Concept: Power function: A function having a single term that is the sum of a real number, a…