3- show that the diff. equ. is homogeneous and Salve it (2x +34) dx +(y-x)dy = a

Q: Question R is the region bounded by the functions f(x) = 2-3 sin (x) and g(x) = 4 cos (x). Find the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: udv = uv J to Explain why the substitutions below are inappropriate. Let u = e 1. Suppose we apply…

A: Here, to evaluate: ∫xexdx using integration by parts.

Q: Find the exact interest on a loan of $7500 at 13% annually made on July 17 and due November 30.…

A: Given that we need to find the interest on a loan for following interest rate and on time.

Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: topic- equation of tangent line to the function at point

Q: Evaluate dy/dx using implicit differentiation.

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Q: 41.) If f (x) = )=√(₁ (A) 3-e/4 4 tan(Cnx) +- (B) dx & f(1) = 0, then f (e/4) is - 3-e/4 4 (C)…

A: We need to choose correct option.

Q: 4. For the below ordinary differential equation, state the order and determine if the equation is…

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Q: Find the center of the circle whose endpoints of the diameter are (-2, 3) and 2' 2 (4.9) (-4,-2) O…

A: Topic = Geometry

Q: a. (x-²)(x + xy) = 4 b. √√√xy=x-2y at (4,1) c. cos(x² + y²) = y²sinx² d. y² = ln(x² + y²)

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Q: For the function f(x) = 2x², find the difference quotient ƒ(a + h) − ƒ(a) h 4a + 2h h 4 a² + h 4 a +…

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Q: Write the equation of a circle with a center at (2, -3) and a radius of 4. ( x - 2) 2 + ( y + 3) 2…

A: To write the equation of a circle with a center at (2, -3) and a radius of 4.

Q: cos(x² + y²) = y² sinx² y² = ln(x² + y²)

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Q: Find the directional derivative of f(x,y)=sqrt(x²+y²) at P(4,- 3) in the direction of μ=[8,-15].

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Q: Identify the conic section whose equation in standard form is x 2 + 2y 2 - 3x + 8y = 10. ellipse…

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Q: 37. If antiderivative of m+p is equal to - 8 X³ √₁+2x² (B) 5 which passes through (1, 2) is…

A: We need to choose correct option.

Q: Evaluate the integral T 22 P" sin cos e de dode Hd 0 H₂

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Q: 3. For the below ordinary differential equation with initial conditions, state the order and…

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Q: = -21n|1-√√x-2√√x+C - dx = Statement 1: 1 Statement 2: S √ √ 171- -√x (A) Both statements are true.…

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Q: L 1 1 {}} 2 S S + 1 S-6

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Q: The equation of a line is defined by y = k*x^5.2, where k = h/b^n as shown. If b = 1.1; h= 17.1.…

A: We need to find arc length. NOTE - As per Bartleby's Guidelines we can solve one question from…

Q: Find the area of the region between the graphs of y = 16-2² and y = -4≤ ≤ -1. The area is 2x+8 over…

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Q: I. Bernoulli's Equation 1. 2ydx + x(x² In y-1)dy = 0

A:

Q: 4. Describe the left-hand and right-hand behavior of the polynomial function f(x) = 2x² +6x² Left…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) 13,…

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Q: John Jones just paid $3,202.50 for a lawn mower/tractor. If the percent markup based on cost is 83%,…

A: topic - percentage

Q: Q2: The equation of the tangent line to the graph of y=1² and t = 4x² at t =lis (not that x is…

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Q: 7. dx ггтV)

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Q: Evaluate the integral i) 2 S² Say e& dady

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Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: L 2 S 5 + 64

A: Laplace Inverse Transform of  function 5s2+64

Q: The marginal revenue for a certain company is given by the function R' (x) = 100x-1/2 where R'(x) is…

A: Given.

Q: Find the center and radius of the circle whose diameter has an endpoint at (3, -4) and the origin. 5…

A: Given that the endpoints of the diameter are 3,-4 and 0,0.

Q: Find the solution by using Solution of 2nd order D-Es 2 X ý XỨ ty - xy + y = Lnx -

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Q: (9x-4y+4)dx-(2x-y+1)dy=0

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Q: S= S stozx 1 secy tan: Sinx cas 2. S

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Q: } L 1 (s? +1)(s? + 25)

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Q: es { [ (x² + 5) } 1_7²_

A:

Q: Let C be the curve of intersection of the parabolic cylinder x² = 2y, and the surface 3z = xy. Find…

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Q: 'Q/ find the vector whose length =5 and its direction (600) with x axis 53 = 1+ j,v=i+ الخيار رقم 1…

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Q: A: By using Linear equation solve the first order differential equation y' + sec(x)y = cos(x)

A: As we know the standard form of first order linear differential equation. dydx+Py=Q Where P and Q is…

Q: 3. dy dx + y = 2xy²e²

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Q: 4. (a) (i) Calculate (4 + 6i)².

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Q: -10 5. Given the polynomial: 2x³ + 19x² + 32x - 21 A) List all of the possible rational roots: B)…

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Q: Question R is the region bounded by the functions f(x) = 1-3 sin (x) and g(x) = 3 cos (x). Find the…

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Q: Find the following, using no tables for any non-basic integrals. [31evoz d Did you remember your +C?…

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Q: (a) (i) Calculate (4 + 6i)². (ii) Hence, and without using a calculator, determine all solutions of…

A: the complex number ..

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: At 12.00 noon, there were 200 bacteria present.By 1:00 pm, there were 379 bacteria.

Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

Q: ·S √ 6. dx x² - 4x + 13

A: ∫1u2+1du = lnu+u2+1+C

Q: 31 In how many ways can 9 math students be seated at a round table? 81 40,320 80,640

A: In how many ways can 9 math students be seated at a round table?