Determine whether the equation is exact. If it is exact, find the solution. (e'siny + 3y)dx - (3x-e'siny)dy = 0

Q: 4 If cos(0) and is in the 4th quadrant, find sin(0) 5 Give exact values. No decimals allowed! If the…

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Q: 5. Matiu is a talented furniture maker and has decided to build a bike frame out of wood. He likes…

A: Given: the two triangle connected to each other as shown in the question.

Q: Find an explicit solution of the given initial-value problem. dx - = 7(x²+1), x(77) = 1 - dt x = tan…

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Q: Evaluate: O 3 0 S''(√ri+ - i + ln(2) j+ 4 1P ( 1 , 2 + (1+1) 1] (-1) ² e 3 0 2 + + m (2) 1 + (1 - 1)…

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Q: equa 5 itions all approach y = 4 = 5 5 4 a - Y as t →∞. dt

A: Topic:- application of integration

Q: and a "0" to be false. P 1 1 1 1 0 0 0 0 q 1 1 0 0 1 1 0 Write a truth table for the proposition:…

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Q: Below is the function f(x). 6 5 54 63 2 " 7 6 5 4 3 2 -1 3 27 7 4 4 5 -2- -3 -5- 1 2 3 4 5 6 7 -7…

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Q: Find a differential equation whose general solution is 7t y = c₁e¹t + c₂e-2t. y" - 5 y' - 14 y = 0 ✓

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Q: 3. A theatre has determined that its profit function is given by P(x)=x² +9x-11, where x is the…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 48. Find AB in CO A. 10/2 B. 20√2 C. 10 D. 20 20

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Q: If D is a subset of R and c is a cluster point of D, implies which of the following? (a) N*(c,1/n) n…

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Q: Which is the center and radius of the circle given by the equation, x² + y² - 6x 10y + 11 = 0?

A: The answer as follows:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A: The solution is given below

Q: 3 -6 -4 -2 8 19 41 2 2 41 19 ① 2 4 6

A: We have to solve the conic

Q: c) Write the polar equation for a conic section with eccentricity 3, a focus at the pole, and a…

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Q: Use Green's Theorem to evaluate the line integral Ico (y - x)dx + (2x - y)dy for the given path. 3π…

A: Solution is given below:

Q: Determine if the following series are convergent.

A: we have to check whether the series is convergent or divergent.

Q: Find div F and curl F if F(x, y, z) = 10y³zºi – 8x³z¹ºj – 5xy³k. div F= curl F=

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Q: 3. 2-y x-2y

A: Give the general solution of the following Differential equation.      dydx=2x-yx-2y

Q: Can you present the solution in a different format. I do not understand what the solution is…

A: Let's solve given diffrential integration.

Q: Find the limit lim x →∞ √1+ 2x + 9x² -2x + 5

A: This question is related to limits, we will solve it using given information.

Q: 1 x5 10 (266)6 This can be transformed into a basic integral by letting Consider the definite…

A: Given query is to transform the integral using substitution.

Q: y(t) = C₁ e-5t + c₂ e-6t

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Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

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Q: Mark the critical points on the following graph. 2²e-², 6,0.3 34 2.7 2.4 2.1 1.8 1.5 1.2 0.9 10.6 Q3…

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Q: For any vectors u, v and w, show that uxv=uxw does not always imply v = w. Prove that u v ≤ ulv, and…

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Q: Find the solution of the given initial value problem. ty' + 2y = sint, y(7) = 5, t > 0 y = cos(t)…

A: As we know that; The standard of the First order linear differential equation is: dydt+Py=Q Where, P…

Q: Consider the following function. y = 6x In(x) Find y'(x). Y'(x) = 6 + 6(in(n)) Find y"(x). y"(x) 6 x…

A: Solve

Q: The traffic flow rate (cars per hour) across an intersection is modeled r(t) = 300 + 900t - 270t²,…

A: Topic = Algebra

Q: Which is the focus and directrix of the parabola with equation (y + 0.5)² = 4(x - 1)? Focus…

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Q: fo axy dx + 2xy dy, where Cis the rectangle bounded by x = -1.x = 1, y = 1, and y = 5. 6xy dx + 2xy…

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Q: Find the value of b for which the differential equation (ye5ay + x) dx + (bxe5y) dy = 0 is exact,…

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Q: Find the Wronskian of the functions f(t) = et sin(t) and g(t) = et cos(t). NOTE: Your answer must be…

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Q: Show that the differential equation x³y² + x(1+yº)y' = 0 is not exact, but becomes exact when…

A: To show that the differential equation x6y7+x1+y6 y'=0 is not exact, but becomes exact when…

Q: = √x³ + 2x³-3x d (x²+1)³ dx

A: Topic:- application of integration

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: nd the volume of the solid generated by revolving the region bounded by the given line and curve…

A: Topic:- application of integration

Q: Find V. (Fx G), if F(x, y, z) = 4xi+j+13yk and G(x, y, z) = xi + yj – zk. V. (Fx G) =

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Q: Find V (V x F), if F(x, y, z) = 6ei +9rej - 7ek. V. (V x F) =

A: To find ∇·∇×F, if Fx, y, z=6exz i+9xey j-7eyz k.

Q: Let f(x)=√x - 5. f(3 + h) – f(3) h Then lim h→0 If the limit does not exist enter DNE.

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Q: 2. Which of the following is not a unit vector? A. (0-2) 0. √5 √5 B. (cos 1, sin 1, 0) C. (1, 1, 1)

A: A vector v whose magnitude is 1 is called a unit vector. A vector v whose magnitude is any positive…

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: A trader buy's 80 mangoes. she finds that 8 are bad and a further 22 are unripe ,show on a pie chart…

A: Given data:- Total number of mangoes = 80 Bad mangoes = 8 Unripe mangoes = 22

Q: ad curl F if F(x, y, z) = xz7i+ 5y¹¹x²j + 6z²yk. d with CamScanner

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Q: Which of the following sequenc convergent? (a) x_n= n + (3/n) (b) x_n= -1 + ( [(-1)^n]/n) (c) x_n=…

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Q: Fill in the blank. (Enter your answer in terms of t.) [ L-1) 1 5²-2) =

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Q: o PROBLEM 9: Consider a circle of radius 1 centered at the origin and an angle of 8 radians, 0 <8<,…

A: answer is in next step. please give a like!!

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s)} = f(t)g(t). O True O…

A: The given data is: Lft=Fs and Lgt=Gs, then L-1FsGs=ftgt is true or false.

Q: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

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Q: Find div F and curl F if F(x, y, z) = 7evi-4 cos yj+ 10 sin² z k. div F= curl F

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