Rewrite the equation with the variables separated. dy dx + √y = e* √√y dy √y-1 dy dy = ex dx = (ex - 1) dx = (et + 1) dx O √ydy = (ex + 1) dx

Q: Find at least 10 partial sums of the series. (Round your answers to five decimal places.) 80 Σ n = 1…

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Q: 2).  Draw the directional field for the differential equation. y' = 1 − y2 − x2

A: Given  y'=1-y2-x2

Q: Use Green's Theorem to evaluate the line integral S (y-x) dx + (2x - y) dy for the given path. X C:…

A: Green's theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA   Given: I=∫Cy-xdx+2x-ydy and C: y=x and y=x2-2x It means…

Q: (4) (3) (4) e. y = 4x³ (2x + 7) 4 f. y = 1 5√√(3-15x)³ g. s = 8cos (4t2 +9) ...determine s' s'(2)

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Q: an the graph of f(x), determine the domain off-(x). [10,-) [2.-) - f(x)

A: Topic:- function and it's inverse

Q: Solve dN dt = (1¹ 1+ cos(2nt) N where t ≤0 and N(0) = No.

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Q: Solve the triangle. A=38°, b=4, c = 12 O A *** O b=4 380 c=12 ed a= (Do not round until the final…

A: Given  A=38°, b=4, c=12

Q: Find the general solution of the differential equation. y(4) +12y" + 36y = 0. NOTE: Use C₁, C2, C3,…

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Q: While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the…

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Q: with

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Q: (A) C B) a (A) a B d с dx ex√4-e²x the integrand is transformed into? (a) cos²0 (c)-sin²0 (b)-sec²0…

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Q: 11. Evaluate the following limit: 4x lim - X18 √x² 2 I - 1

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Q: K O O Given the integrals I, J, K and L, where 3 dx = 6²° 3 .00 dx x + 2' O 1 = = [₁*√x- √x-3 dx, L…

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Q: Find the solution to the initial-value problem. dy dx = y2ex sin(6x), y(0) = 1 y =        [PLEASE…

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Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1, 1) in the direction of from…

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Q: Find the Tangent vector, the Normal vector, and the Binormal vector (T, N and B) for the curve r(t)…

A: This question can be solved using the concept of vectors and derivatives.

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Find the area between the curves y = e Area - 0.7x and y = 1.3x + 1 from x=0 to x=2

A: The area between the curves y=e-0.7x and y=1.3x+1 on interval 0, 2.

Q: . Use separation of variables to solve the differential equation explicitly for u. du dt = 4 + 4u +…

A: topic:- differential equation

Q: dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

A: given y=∫0u9+10t2dtTo find: dydu

Q: Determine the equation of the parabola graphed below. 5 4 3 2 1 0 1 2 3 4 5 6 7

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Q: 6. A solid is bounded by the surfaces z = 4 and z= √√x² + y² . Find the exact value of the volume of…

A: To find the volume.

Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

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Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y − 1 y =     Graph the…

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Q: solve the differential equation    y √(1+x^1)  dx + x √(1+y^2) dy=0

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Q: If y=2x²-4, what is its inverse? or Oy¹--√2 Dy^--, DOIN such that xs-4 such that x2-4 such that x20…

A: Given, y=2x2-4 To find the inverse, we need to swap the variables 'x' & 'y' x=2y2-4 Now solve…

Q: The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z)…

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Q: ASIC 0/0 Find p, q if f f(x) dx - f f(x) dx = f f(x) dx. (Give your answers as whole or exact…

A: Please refer to the image below

Q: Question 3 ( ) Evaluate the integral 11₂ D ydA where D is the region bounded by the curves = 0 and x…

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Q: 13. The population of the town, rounded to the nearest whole person, remaining after 5 years is…

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: We need to find domain.

Q: Find the characteristic equation of the matrix by inspection. -9 6 7 -3 0 30 0 4 The characteristic…

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Q: Bookmarks Profiles Tab Window Help a Your Orders X nar21 written assignment 4_MAT-23 X +…

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Q: If sin = O a) 1/ Ob) _42 4√2 Oc) 4√2 Od) - O e) _4V/2 9 - 4√2 and is in quadrant IV, find sin (20).…

A: sinθ = -1/3  and θ is in 4th quadrant it means cosθ also negrative    sin2θ = 2sinθ*cosθ    sin2θ=…

Q: Tutorial Exercise Find the limit of the transcendental function. Ilm 6 sin x x - 7/2 Step 1 To…

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Q: Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable…

A: Given dIdt+RLI=1LVt I0=0, R=130Ω, L=5H and Vt=10 V

Q: Calculate the integral of ze²x+y over the surface of the box with 0 ≤ x ≤ 2,0 ≤ y ≤ 3,0 ≤ z ≤ 6.…

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Q: The difference between a linear regression and a correlation is largely philosophical. Linear…

A: Option A  : The global mean temperature has gone up while the global pirate population has gone…

Q: d the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 8x2 - 6x - 5…

A: Topic:- limits

Q: 4 -15 Given sin A = and sin B 5 17 match each expression in Column 1 with its exact value in Column…

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Q: The graph below shows a transformation of y S 5 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 y = 1 D 3 4 5 2.…

A: topic- equation of a function

Q: b) [ Find the volume of the solid obtained by rotating the region bounded by the curve about the…

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Q: 5. * y ↑ Add File 6. * sin x 1 + cos x y = cos² sin x 1 Add File

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Q: Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1,1₂ = -4,13 = 7, and A4 = - 7. Use the following…

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Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞) . Find ALL interval(s) for which f""…

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Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. Jill…

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Q: Begin by graphing f(x)=3*. Then use transformations of this graph to graph the given function. Be…

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Q: (a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is…

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Q: the x-values (if any) at which is not continuous. Which of the discontinuities are removable? (If an…

A: Topic:- limits and continuity