(x + 2y - 3)dx + (2x + 4y - 9)dy = 0

Q: 0 TO Lim X-O Lim X-2 CSC X -2 x-a (ex-1) e(x2-4) X-2

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Q: Let f(x, y): = lim (x,y) →(0,0) (x,y)=S₁ O 0 O 6|5 312 3 say x² + y². f(x, y) = If S₁ is the set of…

A: Topic = Limits

Q: dy 13. Determine the derivative dx for y= -4x 4. Show your work.

A: y= -e-4x/4

Q: bounded by the following curves: y = x³/2, y = 8, x = 0, y = 0. Find the volume of the solid…

A: Given ,       y = x32 ,  y=8  ,  x= 0 , y=0.  From Shell method-     Since the revolution is around…

Q: A sailboat is sailing on a lake with a constant speed of 10 miles per hour. At noon, the sailboat is…

A: given  (1) speed of the sailboat = 10 miles/hr. (2) If at noon, t = 0, Then, at t = 0, the…

Q: Consider the initial value problem for function y given by, y" — y' - 6 y = 0, y(0) = -4, ▾ Part 1:…

A: Solve the following

Q: 1) What is the average value of f(x)= e2x over the interval [-5,-2] tan x-sin x 2) Evaluate i) lim-…

A: As per guideline only one question is allowed to solve if multiple question is asked in single…

Q: The length of arc of the curve given by the parametric e x = t³, y=t², -2≤ t ≤0 is given by to A dt

A: given curve is :-x = t3         ,                y = t2 and     -2≤t≤0then we have to set up…

Q: 11. Determine f'(x) for the function f(x) = 5e4-9. Show your work. a. f'(x) = -25e4x-93 b. f'(x) =…

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Q: Find the Laplace transform of f(t)=sin(2t) + cos (21)

A: we know  Lsin(kt)=ks2+k2Lcos(kt)=ss2+k2given  f(t)=sin(2t)+cos(2t)

Q: The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 26…

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Q: Find d²y 2 dx 3 y = ³√x

A: Given,            y=x3To find : Find d2ydx2

Q: Jse basic geometry to find §₂² (5 − x) dx. For this problem, do not use Riemann sums or the

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: To solve the following problem

Q: 4- Say whether each given sequence is a geometric sequence, or not. Find the common ratio and the…

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Q: The graph of one complete period of a sine curve is given. A y (a) Find the amplitude, period, and…

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Q: Evaluate the integral (2x+3)(x² + 3x + 5)²dx by making the substitution u = x² + 3x + 5.

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Q: The per capita growth rate of many species varies temporally for a variety of reasons, including…

A: Given that , Habitat destruction is modeled as n'=e-tn with n(0)=n0

Q: he difference equation for the growth of spherical colonies of bacteria is Nt+1 = Nt + C. (N₁) 2/3…

A: Please see the below picture for detailed solution.

Q: 5. An Lissajous Figure is defined by x = 3 cos(3r) and y = 3 sin(51) on the f-interval [0, 2n]. (a)…

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Q: d²y y = cos xtanx 18.Determine dx2 for

A: The function is given as y = cos(x)tan(x) Simplifying the given expression, Substitute tan(x) =…

Q: Let A be the matrix Find p(A). PLA)- 784 924 809 899 p(x)=x²-2x +4

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Q: Evaluate lim (sin x)", where x > 0. +0+x

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Q: d the open intervals where the function is concave upward or concave downward. Find any inflection…

A: Given query is to find the interval where concave up and down.

Q: available rest Estimate the area under the graph of the function f(x)=√x+6 from z=-3 to z = 5 using…

A: The given function fx=x+6 from x=-3 to x=5. We have to find the area under the graph using midpoint…

Q: mRNA is an intermediate molecule that arises in the decoding of DNA. mRNA is produced by a process…

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Q: O A. No, since we have only shown that Sk+ 1 satisfies the statement. OB. No, since we must show…

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Q: Convert from radians to degrees: 5n - b. 18 10

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Write the sum without sigma notation. Then evaluate. 8 Σ sin ka k=4 Write out the sum. 8 Σ sinkπ=|…

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Q: 5) ftan5 x sec^x dx = tan6x 6 a) b) tan x 8 tan'x 7 + + tan 5x 5 + + c + c sec7x secx c) 7 5 d) None…

A: To evaluate the following integral.∫tan5x sec4x dx

Q: Include several decimals for accuracy when the problem is graded. - 1)" 200 nº.8 ∞ n=1 S4 = error

A: To solve the following series problem

Q: an+1 Find the first six terms of the sequence defined by a₁ = 1 and 5 = an + 1 for n ≥ 1

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Q: A brine solution of salt flows at a constant rate of 7 L/min into a large tank that initially held…

A: Solution: Let's take x(t) as the mass of salt in the tank at time t, we can determine the…

Q: rivatives · [²32²³ + 1 dr = es. Show all work 14.

A: Given query is to find the integral.

Q: x dx = x + In secx + c ²x + ln | sec x| + c ²x + ln | cos x + c 08 +In cos al

A: We have to choose the correct option from the given options according to the given information

Q: A circle with center O and passing through the origin is graphed below. What is the equation of…

A: From the figure center = ( -4 , 2 ) let r = radius

Q: 1. Given the equation y = -7cos(4x + 20), find the following: (write the answers here and on paper)…

A: To solve the following problem and find the following things

Q: So Lov (x + y) dy dx to polar coordinates. a. Convert the integral b. Evaluate this integral. Hint:…

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Q: Find the length of the curve x = t³, 312 y = ²2² ²²₁ 0 ≤ t ≤ √3 t²,

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Q: 6. Change the order of integration and evaluate 1 3 3y e-² dxdy.

A: To change the order of integration and to evaluate ∫01∫3y3e-x2 dx dy.

Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions Find the maximum and…

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Q: Evaluate the determinant. 60 0 16-6 48-4 The value of the determinant is 8

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Q: 1 1 1 은 관 + dt

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Q: Test the series below for convergence using the ratio test. 8 n=1 n+4 54n+4 The limit of the ratio…

A: Explanation of the answer is as follows

Q: Identify the following equation without completing the square. 6y² - 4x + 2y +21=0 The graph of the…

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Q: Find a power series representation for the function. (Center your power series representation at x =…

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Q: The graph of one complete period of a cosine curve is given. y 3 f (a) Find the amplitude, period,…

A: We need to find equation of curve.

Q: 9. What is the slope of the normal to a. -3 y = x²-1 x+5 at (1, 0)? Show your work. C.

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Q: Solve the equation dy 2y² S 3ry

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here…

Q: find either lim 5x3 x→∞ ex one that takes less time!) Find lim (1 +5)* X→∞ 5x3 x→0 ex-1 or lim using…

A: As per the rules we are supposed to answer the first question and rest can be reposted.