How. Solve the diff. e que (4y-cosy) dy/dx=3x² = 0, y(0) = 6

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: An auto weighing 2,500 pounds is on a street inclined at 10° with the horizontal. Find the force…

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Q: If f(0) = -6, f'(0): = 3 S³ = x. f''(x) dx = = - 20, f(3) = 297 11 and f'(3) X 18 then: -49

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Q: Find the area of the region bounded by the parabola y² = 2x2 and the line y = x - 5. 16 17 18 19…

A: Given: y2=2x-2 and y=x-5 Now find the point of intersection between the given curves. y2=2x-2 ;…

Q: A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit…

A: I am attaching image so that you understand each and every step.

Q: Question The following table gives the approximate increase in dollars in the average price of a…

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Q: Suppose that a company's production for Q units of its product is given by the Cobb-Douglas…

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Q: Given the function G(x)=√x² - 4, G(x - 1) = √x² 2x 3 x² 3 x²+2x-3 x²-3 O

A: Solution is done in step 2

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: x³ cos x dx

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Q: Let y 3x² + 3x + 4. = Find the differential dy when x = 4 and dx = Find the differential dy when x =…

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Q: - Find the volume of the region cut from cylindrical (x² + y² = 16) by the plane z 0 and the plane…

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Q: h(x) = [(x − 3)√6x − x² + 9 sin¯¹ (x-³)] g(t)e-2t (1+e-2t)-1/2

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

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Q: Determine the volume generated of the area bounded by y = √x and y = = x rotated around the y-axis.…

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Q: Which property of vectors is incorrect? a. â× b = -b ×â xã C. a. (b + c) = a + (b + c) b. (a + b) +…

A: I am attaching image so that you understand each and every step.

Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =…

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Q: 26/ Given the triangle 39° 11 answer to 4 decimal places. x = x find the length of side x using the…

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Q: Q7. A cellphone transmitter is placed at the top of a vertical tower. Cables are used to help…

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

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Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =6

A: We have to solve the given differential equation.

Q: C. d. = cos(√x + 3) dx [x³√x² +1dx

A: We have to solve given integration.

Q: soon as posible

A: We will use substitution.

Q: image

A: Please refer to the image below

Q: 6. show that the complex Fourier series of the function; f.(.t.) = t ..。. st.s.1. is...:. i2nt e j…

A: Fourier series of function is given.

Q: 5) The number of 3 - digit numbers with repeats, that are multiples of 5 and less than 600 that can…

A: Permutation is used

Q: Find the general solution of the differential equation: dy dt Use lower case c for constant in…

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Q: x³dx √1+x² (A) / (1+x³)³/² + (C) &n[√x - √₁ + x² + c 31. If I = f- then I equals to - " (1+x³) ³/²…

A: Follow the procedure given below.

Q: 14 Given the triangle answer to 4 decimal places. X find the length of side x using the Law of…

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Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

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Q: Q1. Construct the reduction evaluate Ssind in ndx and use it to Qala) Use the inverse function…

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Q: 3. dy dx + y = 2xy²e²

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

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Q: Find the average value of f(x) = 2x3 2x² 3 3 Submit an exact answer using fractions if needed. + x -…

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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: Evaluate the integral. (Use C for the constant of integration.) 5 [ 8x 8x √√x + c dx

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Q: Solve y' = 4xy - 2x, y(0) = 20 y(x) =

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Q: An invoice dated January 15th , in the amount of $12,500 has the following terms: 2/10, n/30.  This…

A: topic- discount calculation term 2/10 signifies if amount is paid with in 10 days,2% discount will…

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: = 1. Verify that y(x) = - +12e¹** is a solution of the ordinary differential equation y' = 14y + 1.…

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Q: Find an equation of the normal line to the curve of y = √x that is parallel to the line 2x + y = 1.…

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Q: dx √x² - 4x + 13 S

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Q: Which of the following values is not in the range of y = arccotx?

A: Given that the function y=arccot(x)  To find the which value not in the range of y=arccot(x) and…

Q: Solve y'' - 2y' + y = 0, y(0) = — 5, y'(0) = = y(t) = - 8

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Q: Find the average value fave of the function f on the given interval. f(x) = 3x² + 8x, [-1, 5] fave -…

A: We have to find the average value

Q: 2. (yx + xycot x) dx + xdy = 0

A: Given problem:- Find the solution of the following differential equation.  (yx + xycot x) dx + xdy =…

Q: 4. (a) Find the general form of the equation of a line through A (2,-2) and B (-2,3). 4. a) (b) Use…

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Q: Test the series for convergence O a. the series diverges O b. the series converges ∞ 3k k-1!

A: We need to evaluate the convergence of the series :

Q: Find the average value gave of the function g on the given interval. TU TU g(x) = 6 cos(x), 2 2 gave…

A: We will find the average value of function as shown below