f(x, y) = 'r cos(y) + y(e² − 1), x‡0 xy 0 x = 0.

Q: x³+2x? -3x x²+4x+3 2) Evaluate lim -6-1. x→-3

A: Use l-hospital rule.

Q: Find fr(r, y) and fy(x, y) given f(r, y) = tan r - cos(r² – y²).

A:

Q: What does the graph of the parametric equations x(t)=3−t and y(t)=(t+1)2, where t is on the interval…

A: t x=3-t y=(t+1)2 (x, y) -3 6 4 (6, 4) -2 5 1 (5, 1) -1 4 0 (4, 0) 0 3 1 (3, 1) 1 2 4…

Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: Given problem:-

Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: Graph÷

Q: A 16 cm x 10 cm open rectangular box is to be constructed by cutting square corners out of a piece…

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Q: Find the general solution to the differential equation y''+5y'+6y=et

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 3 1 = lim t+oo 8t² +9' 5t, (?, ?)

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Q: Find the number of distinguishable permutations of the letters in each word below. (a) tilted (b)…

A: This is a problem related to permutation and combination. Based on the general formula we will…

Q: If sint = 4/5 and t is in the first quadrant, find cos(2 t) -7/25 -9/25 7/25 24/25 None of these

A: There is more than 1 question, as per the Q&A guidelines I am answering the 1st question. If you…

Q: Find two positive numbers satisfying the given requirements. The product is 1200 and the sum of the…

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Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

A: Let's find.

Q: n=5   Use taylor series to approxim. from the interval of: 0-1.5   e^(x^2)dx   Round to 4…

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Q: B) Find the number of bacteria after 5.5 hours.

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Q: Investigate the given two parameter family of functions. Assume that a and b are positive. f) =…

A: We will plug the values of a and b to do the analysis.

Q: Determine the value of 7A+5B if 19x2 + 43x + 14 Cr + B (x+1)2 A (x – 1)(x +1)? Answer:

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Q: gence for n! n=0

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Q: Find two positive numbers satisfying the given requirements. The sum of the first and twice the…

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Q: 10. If 3(a, 3, 2)-2(3, b, b) = (-3, 1, -2), determine a and b. Describe the set spanned by the…

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 11)i + tj; t = 11 T(11) : N(11)

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Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

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Q: 6 Select the conic section represented by the equation. 5x 2 + 5y 2 = 0 point hyperbola  line…

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Q: Find the center of x 2 + y 2 - 10x - 8y + 1 = 0. (5, 4) (-5, -4) (-10, -8)

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Q: Find the equation of the final function after all the following transformations have been made on y…

A: The below image has all the steps

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Solve the linear differential equation dy y 2x2 dx

A: This ODE can be solved as follows:

Q: Given that the vectors X1 = () e- -2t ,X1 = (C)e-6t are solutions of a system x' = AX, do they form…

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Q: At which point or line is the graph of r = 2 sin 0 + 2 cos 0 symmetric ? Select one: O the pole O…

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Q: is the graph a function?

A: To determine whether the given graph represents a function.

Q: Graph the following function by using a convenient method. y = -3cos(30° - x/3)+ 7

A: This is a graph function

Q: Let C(x) =x +4x+1 dollars be the cost function, where the x represents the quantity. The !3!…

A: 1) Here, to find the 11th item.  Now, the cost of x quantity is given by: C(x)=25x2+4x+1

Q: Consider the polar curves C₂: r = 4 cos 0 and C3 : r = 4 sin 0. (a) Set up the integral that gives…

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Q: x-2 lim 3x+5+2x' +2*

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Q: Evaluate y' of the given functions y = /3x + 4)(x + 3)

A: We can find the derivative as below.

Q: 16. بين ما اذا كانت تقع النقطة N على المستقيم AB ام خارجه N=( 2,1.5,3 ), B ( 0,1,2), A ( 4,2,4)…

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Q: Let f(x) = 2x³-7x² + 4x. a. On what interval(s) is f'(x) > 0? b. On what interval(s) is f(x)…

A: Given problem:- Let f(x) = 2x3 - 7x2 + 4x .   a. On what interval(s) is f'(x) > 0?   b. On what…

Q: Determine the absolute maximum and minimum values of the function f(x) = x'e* on the interval -1<x<…

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

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Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

A: Given problem:- A cardboard box manufacturer wishes to make open boxes from rectangular pieces of…

Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

A: As per bartleby guidelines we only give first three question answers.

Q: -(;) > Let 7 (t) = < - 5ť² + 3, t² – 3t, In| a. Determine the coordinates of the point on the curve…

A: given: r(t)=-5t2+3,t2-3t,ln15

Q: n of Calculus to find the derivative of the

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Q: Use the mean value theorem to prove the inequality for all a and b: Isina – sinb| < |a - b|.

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Given that ü = and i = and that üoi = 530 determine the value of the constant A. Yanıt:

A: This question is based on Dot product.

Q: parallelogram is formed in R3 by the vectors PA = (3, 2, -3) and PB = (4, 1, 5). The point P = (0,…

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Q: 13x + 800 The average cost for a company to produce x units of a product is given by the function…

A: We have to solve above question and find the change average cost

Q: (a) [1.1] (b) [1.1] (c) [-0.1] (d) [-0.1] (e) [2.99] () [-2,99]

A: We have to find the value