HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE. Show your complete solutions. x² + y² xy 5. y'= =

Q: Find an equation of the tangent line to the curve at each given point. x=2-3 cos 6, y = 3 + 2 sin 8…

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Q: dy d²y Find and dx dx² x = t² + 2, y = t² + 3t dy dx d²y dx² For which values of t is the curve…

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Q: (1) (2 cos y + 4x²)dx = xsin ydy

A: given differential equation

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 4+x² - y2…

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Q: The answers for N[T(t)], t=2hr, and t=5hr are wrong.

A: Given:To find: (a) To compute .(b) To find the number of bacteria present when .Note: After seeing…

Q: +² dt F(x) In(t) F(x), determine whether F is inc a dec x>2 at x=2020

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Q: What is a function that could have 17 X Question Help: Message instructor Submit Question Jump to…

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Q: The table below gives the velocity of a runner at half- second intervals during the first three…

A: Given the table below gives the velocity of a runner at half-second intervals during the first three…

Q: 5. (x² + y²) dx + 2xy dy = 0. Solve by two methods.

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Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If…

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Q: Let 16x-5 1x² +5 Enter the exact value of the one-sided limit lim f(x) 3-2 f(x) = if x ≤ 2 if x > 2

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Q: If the governing equation is do + 1 = g(t), what is the solution g 20 dť² when g(6)=0 and when g(t)…

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Q: Baseball A (square) baseball diamond has sides that are 90 feet long (see figure). A player running…

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Q: Evaluate the following integral 6x + SS (8x - y) In (8x - y) dA R where R is the region bounded by…

A: Given that, where R is the region bounded by the graphs of                  Using the change of…

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 11.…

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Q: Consider the following parametric curve. x = sin(t), y = cos²(t); (√2-1) Find an equation of the…

A: The slope of the tangent line to the parametric curve. If x = f(t), y = g(t)   a<= t <= b at…

Q: ·b f(b) − ƒ(a) = f'(a)(b − a) – ſå ƒ''(x)(x − b)dx a

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Q: The given curve is rotated about the x-axis. Set up, but do not evaluate, an integral for the area…

A: Recall:Area of the resulting surface rotated about the x-axis :If the curve y= f(x) ,…

Q: Solve | | - 3x +8 24

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Q: Solve the second order. Dieg - Ý - ý syes 1 39

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Q: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

A: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

Q: Find the arc length of the curve on the given interval. Parametric Equations x= 7t + 5, y = 7 - 8t…

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Q: Evaluate the derivative of the following function. f(x) = 2x sinh − 1x − 2/x+1 f'(x)= 2 arcsinh(x)

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Q: Consider the function f(x) = 2x³ + 3x² - 36x - 54. a. Find the first derivative. f'(x) = b. List any…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 5 r…

A: r=5θ,π2≤θ≤2π

Q: Answer the following questions for the function f(x)=x√x² + 36 defined on the interval -4 ≤ x ≤7.…

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Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√y+3

A: To find and to sketch the domain of the following function.Note: Since the student has posted…

Q: Sketch the region of integration of 2 So Soft + S₁² √ √² Then evaluate the integral by first…

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Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) =…

A: Given:The position vector r(t) =

Q: What is the center of the sphere given by the equation x² − 6x + y² – 2y + z² + 8z + 17 = 0? -…

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Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec² (9t) tan²…

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: The given polar curve .The aim is to find the slope of the tangent line to the polar curve at the…

Q: 2. by (No need to justify for full credits if your choice is correct.) A. B. C. Which of the…

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Q: 2. Use Calculus to find all local extrema of the function g(x)=x√3-x.

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Q: 1) fx²e-3x dx/

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: r(t) = 2t²1 - 4tj + 2t³k (a) r(t) (b) r"(t) (c) r(t)r"(t) (d) r(t) x r"(t)

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Q: Solve the exact initial value problem 3y² dx + + (³1²575 2²2 + √²4) · + √2y) dy = 0, y(0) = 2, y5 X…

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Q: 6. Let f(x, y) = sin(x + y). Answer the following questions. (a) ) Find the gradient f(x, y). (b)…

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Q: Let Compute dw (-5,-2)= -(-5,-2)= ow Ət w = xy + yz - 5xz, x = st, y = est, z = ²

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Q: Find the total differential. 8x + y 3z - 2y dw = W = 8 3z-2y dx + 3z- - 4y - 16x (3z-2y)² Jdy + (7…

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Q: 5. Let f(x, y, z) = x²e + ay³ + az + 115. Find fyzz (b) Find 8³1 əxəydy'

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Evaluate the limit: limħ– →0 0-2 01/1/20 0 - 12/1/2 2 an ( 7 +h)-tan (7) h

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. dy dx…

A: To find:-

Q: A large tank is partially filled with 150 gallons of pure water. Brine containing 2 pounds of salt…

A: Let A(t) be the amount of salt at any time t According to Question Rate of pumping in  gal/minRate…

Q: If a 4th order linear differential equation is such that the corresponding characteristic equation…

A: If a 4th-order linear differential equation is such that the corresponding characteristic equation…

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: For the given double integral, to sketch the region of integration and to wrire an equivalent double…

Q: Verify that f(x) = 2x^3 + x^2 − x − 1 satisifies the hypotheses of the Mean Value Theorem on the…

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Q: Consider h(z): 2 5 - Oh is concave down on: Oh is concave down nowhere. 1 2 Determine the intervals…

A: Consider the function To determine the intervals on which  is concave up and concave down.To…

Q: What is the volume if a 6 inch square is cut out

A: Consider the box