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Q: Let be continaous on ca,b]. Show that Ca,b]. Sham f(x) da l Ś Ifx) dx Hini: we the inequolit - Ifcal...

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Q: At what simple interest rate per annum will Php25,000 accumulate to Php33,000 in 5 years? Round off ...

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Q: Find dy/dx. x = Vt y = 7 - t dy dx

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J (10a4 + 9)"...

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Q: A regular hexagonal pyramid has one lateral edge which measures 10 cm. The length of one side of the...

A: Let's find. 

Q: 24. Prove the identity sec(x) (sin(x) + cos(x)) sec(x) + 2 sin(x)

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Q: Homogeneous Differential Equation 3.x'ydx+(x* +x²y +y* dy = 0 2..2

A: Explanation of the solution is given below...

Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to...

A:   jjjjjjjjj

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Q: TX dx

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Q: RFind the Jeneral Solution of -2. 6.

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Q: do cas 2 (a®) Ja - a 9-9

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A: Equation of motion of button stuck to the bicycle wheel is given by:

Q: 4. x+2y+1 = at (2,-1)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: Prove 42 tan xdx =1-log 2 3

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: yyx² +y? F(x,y) = - is a homogeneous function of degree

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Q: 18. Find the equation for a line which passes through the points (–1, 9) and (-3, 1). Write the equa...

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Q: 3. The volume of oblique prism with a pentagon base is 9000 cubic feet. and an edge of 150 feet incl...

A: Given- The volume =9000 ft3,length of the edge= 150 ft, θ=30°. To Find- The length of the side. Form...

Q: At x = 0,which of the following describes the behavior of the function g defined by g (x) =-x² + e2ª...

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Q: Suppose that g: R →R is a differentiable function, with derivative g'(x)=(x – 1)·(x – 2)² - (x – 3)³...

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Q: 1. f(x) =x+6r-7x 2. S)=r-7 +2* 3. F(1) (1+7t) 2x+1 4. g(x)= x-1 1-4u 5. h(u) = 1+ 3u 6. H(s) = avs+ ...

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Q: Find the general solution of (cos 2y – 3x?y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0 |

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Q: d'y Degree of the differential equation 1+ dy = x + is dx

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Q: Non-exact Differential Equations 4. (x²y² + 2.xy² – x° )kdy + (xy' In y + 3y' + 2x*ykdx = 0

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Q: Coefficient Linear in Two Variables 2. (x-3y-7)kdx – (2x – 4y-8)dy=0

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Q: 9. Vy + dy 415

A: We will be using the given rules to evaluate the answer

Q: Terry can clean the house with 5 rooms in 11 hours while Tony can clean another house with 2 rooms i...

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Q: Using Lagrange multiplier, find the minimum value of f(x,y) = 3x +ly on the circle x2 + y2 = 1. Give...

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Q: Test the series for convergence or divergence. n2 E(-1)". Σ n2 + n + 1 n = 1

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Q: de a yo Cos ? ( de) Ja - 9 +an? (de) COS

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Q: f(x, y) 3xy-x² - y²

A: See the details solution in below

Q: 2х —1 The value of| dx is 1+x-x, tan А. 1 В. О С. 1 D. 4

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Q: Integrating factor of the differential equation y(2x-y+1) dx+x(3x-4y+3) dy=0 is

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Q: What is the velocity (in ft/s) of a sandbag 1.5 s after it is released from a hot-air balloon that i...

A: Given that t=1.5 sTo find : Velocity of sandbag1.5 s after it is relesed from a hot air balloon that...

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 dx = +C (1 ...

A: Given:         ∫41-2x6dx     =4∫11-2x6dx substitute u=1-2x→dudx=-2             dx=-12du       =4·-12...

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Q: Convert the rectangular equation to polar form and select its graph. x2 + y2 = 25 7/2 m/2 하 20 4 1아 ...

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Q: Evaluate the integral. -2 4y2 - 5y – 12 5y - 12 dy У(у + 2)(у — 3)

A: Given that integration and we solve this integration by using general formulas of integration. Here ...

Q: This exercise involves a difference quotient for an exponential function. If f(x) = 2X, show that fx...

A: GIVEN: f(x) = 2x

Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed...

A: GIVEN: Roasted turkey is taken from an oven when it's temperature has reached 185 fahrenheit. 

Q: From the graph of a function f below on the interval [1,3], estimate the value of c so that the conc...

A: Mean value theorem

Q: x'ydx + (x* + x°y* + y^ }ty = 0

A: See the details solution in below

Q: 19. Find the exact solutions and simplify as much as possible: 2x² + 15 = 14x. Show work.

A: The given equation is  2x2+15=14x

Q: c = sec t, and y =

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Q: 8. Find the value of the logarithm: log3 27

A: As we know that; The Logarithmic rule: logaax=x Given: log3127

Q: -x, 2 < x < 14, with six subintervals, taking the sample points to be left endpoints. 2 Evaluate the...

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Q: 6. Which of the functions corresponds to the graph? 5 4 3+ 2. 37 27 5 7 37 -1+ 2 -2+ -3+ -4 1 A. f(x...

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Q: Solve the second order differential equation ÿ + 3y = x3 + sin x sinx +글stnx +sinx D: y = c,cosv3x +...

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