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A: Here we have to use the concept of derivatives
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A: We have to find the solution of the given differential equation.
Q: the roots of the linear equation fcx) = x ³ + x² 100 fall within the period [1,2] Ⓒ True (2) Erorr…
A: Given fx=x3+x2-100
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Q: Use implicit differentiation to find dy/dx for the following: 2x^3 - y^3 - e^y = 10
A: This question can be solved using the concept of differentiation of implicit and explicit function
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Q: Find the equation of the tangent line to the curve at the given point (4,57) y= x3-2x+1
A: Tangent line of a curve y=f(x) at a point (a,b) is given by, y-b=f'(a)(x-a) Where f'(a) is the slope…
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 dy dt || dy dt for y = sin 2 (3nt – 4).
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Q: 4
A: Concept: Given: Demand for the education: P=75-Q Supply for the education: P=2Q Due to decrease in…
Q: 5. y = sec(In x) 7. y = tan (ln(5x))
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Q: 1. Graph the following function on the board: f(x)= 0 -∞<x<-1 1+x -1<x<0 1-x 0 0≤x<+1 +1<x<+∞o
A: Please see the below picture for detailed solution.
Q: Find the area bounded by 4 400-16x² Round to four decimal places. Y = 9 X = 0, y = 0, x = 2.
A: Topic = Area
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A: We need to find x and y.
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Q: Find the general solution of each of the following. 1. tan x dx + y cos² x dy = 0
A: The given equation is; tanx dx + y cos2x dy =0 Repost the next questions.
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A: f(x) = 1-6x here we have to derivate this function we use chain rule for that further given in…
Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…
A: We can find the limit .
Q: 2)Find an equation of the circle whose center lies in the second quadrant, that has radius 2, and…
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Q: Solve for the complete solution of the differential equation: 1. What is y(3)? y"+y' 2y = 0; y(0) =…
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Q: Evaluate: [4 dx/(x²-4). A. In (x-2)(x + 2) + C C. 2 arc tan x/2 + C B. In (x + 2)/(x-2) + C D. 4 arc…
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Q: Find the general solution of each of the following. rdp-(p+√pr)dr=0
A: Our Aim is to find the general solution of the following given below:-rdp-p+prdr=0 -(i)
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Q: Find the following limits: 1 1 a. lim S+x 5 x-0 x b. x²+1 lim x-1- |x-1| C. -2x lim x++∞ √9x²-3
A: Topic = Limits
Q: Question 1 dy 1) Consider the equation 25x² +9y² = 225. Use Implicit Differentiation to find da (c)…
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Q: Find the surface area of the figure. 10 m 4 m m
A: SOLUTION-
Q: Find the solution of each of the following initial value problems. y(0) = 1 (a) y'-y = 2te²t, (b) y'…
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Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…
A: We have to find the value of derivative at $21 and interpret the answer.
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Q: A company that sells calculators has determined that the revenue generated by selling x calculators…
A: Given, A company that sells calculators has determined that the revenue generated by selling x…
Q: (0) +27= 10; 7(0) = 0,
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Q: 2 The point P is on the unit circle. If the y-coordinate of P is, and P is in quadrant II, then x=
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Q: Consider the rectangular box to the right, and suppose that it has no top (a)Write an expression for…
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Q: 21. f(t) = 4t 10
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Q: Find the discontinuities of the function f(x) = = discontinuity and redefine if removable. x-1 ex x…
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Q: f (x, y)=√x-2+√y-1
A: The objective is to find and and sketch the domain of the function.
Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…
A: Given data:- y=2xe-xy=0, x=4
Q: Find by implicit differentiation. dy dx dy = dx Vxy = x y + 38
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Q: = Find a function of the form y function shown below: A sin(kx) + Cor y =…
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Q: 2. Obtain the general solution using separation of variables. dz = a(cos 0 dz + z sin 0 de)
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Q: At which value of y does the relative minimum for the curve y = 3x³ 3x² - 24x + 10. A. -19.5 B. -26…
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Q: (d) s
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Q: Solve for the complete solution of the differential equa y" − 6y' + 9y = 0; y(0) = − 1, y'(0) = 2.…
A: Topic:- differential equations
Q: 4. rdp-(p+√pr) dr=0
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Q: for the function f(x) = 7X+9 and (exact answers) find the following 1. f(g(x)) = 2₁ g (f(x)) = 3.…
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Q: the function y = x(x 6)².
A: To find the critical points for the given function
Q: t costs $90 to rent a car driven 100 miles and $140 for one driven 200 miles. If x is the number of…
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- Find the clamped cubic spline that interpolates (0,0),(1,1),(2,2) and satisfies the condition: s’(0) = 1 and s’(2) = 1.What is a path on the Topologist's comb between (0,1) and (1,0)? Note that the Topologist's Comb is not the same as the Topologist's Wave.Which point P on XY partitions the directed segment from X to Y in the ratio 4 to 1?
- Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy =______?Letl : (x, y, z) = (−1, 1, 5) + t(3, 4, −3) where t ∈ R.Find the distance between the line l and the point P = (−2, 3, 5). Do it but without using the distance formula.Show that for any arrow, youcan pick an axis such that the projection of the arrow on that axisis zero. How many such axes are there?