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Q: 1) Find the formula for A(t) in terms of r(t) and b(t). You may want to make sure that your formula ...

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Q: 7/2 tan x dx 0,

A: We need to evaluate the integral:∫0π2tanx dx

Q: B A A°n (B UC)°

A:   Dear student,                        According to our guidelines we can answer only three subparts...

Q: Write out the form of the partlal fraction x - 20 (a) x* + x - 20 x2 (b) x* +x + 20

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = t + 3t- 4 L{f{t)}

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Q: (x² + 2xy – 4y²)dx – (x² – 8xy – 4y²)dy = 0 |3D

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Q: B C a A b Note: Triangle may not be drawn to scale. Suppose a = 12 and A = 80 degrees. %3D Find: b =...

A: use trigonometric  ratio and sum angle property of triangle.

Q: The profit function for a certain commodity is P(x) = 150x - x2 - 1000. Find the level of production...

A: We need to find x and maximum profit.

Q: 7. Vr+y=1+x'y 8. Vy =1+x'y

A: Topic = Derivative

Q: Ay Use the given graph of y = f(x) to evaluate the following. (a) f(-3) (b) f(2) (c) f(0) (d) f(-3) ...

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Q: IV. a) Integrate to find Fas a function of x, and (b) demonstrate the Second Fundamental Theorem of ...

A: We have to integrate to find F as a function of x, and demonstrate the Second Fundamental Theorem of...

Q: 6) 3yx?dx – (x³ + 2y*)dy = 0

A: Given differential equation 3yx2dx-(x3+2y4)dy=0 Now we will find the solution as shown below

Q: A population of 620 bacteria is introduced into a culture and grows in number according to the equat...

A: For finding the rate of population growing we have to diffrenciate the given function and put the gi...

Q: 22 4* 36 * 64 Use the given transformation to evaluate the integral, where where R is the interior o...

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Q: coverage boundary. Tip: Place the center of tówn at th òrigin. b. A house is located 6 miles north o...

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Q: V. Consider the function f that is continuous everywhere except at x = 0 and whose only intercept is...

A: The graph of given condition is as below

Q: Test the series below for convergence using the Ratio Test. 0.7" n=1 The limit of the ratio test sim...

A: We have to solve

Q: ar diverge HiweDetekmineif thefallawing series converge n² + 4

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Q: Exercise III. Find the length of the curve a) x = t³ y = t2 0<t< 4 b) x = cost y = sint 0 <t< 2n c) ...

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Q: +The New River Gorge Bridge is 880 feet above the water below. A bottle rocket is launched upward of...

A: Given:- The New River Gorge Bridge is 880 feet above the water below. A bottle rocket is launched up...

Q: Approximate the value of the given integral by use of the trapezoidal rule, using the given value of...

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Q: 1 use this fact and the properties of integrals to evaluate dx =3 (7 – 6x2) dx. Given that

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Q: 1. Find the arc length of the curve y = 3x2/3 –1 from x = 0 to x = 1.

A: We are given equation of curve . Y= 3x3/2-1, x=0  , x=1 We have to fndArc length .

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose t...

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Q: 5. Use long division to do this problem. Specify the quotient and remainder (10x -x- 15) (2x – 3) Fi...

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Q: Write the equation of a sine function that has the following characteristics. Amplitude: 2 Period: 5...

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Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. 1 dy dx - 5 25-x2 ...

A: Option (B) is the correct choice.

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t ...

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Q: Test the series below for convergence using the Ratio Test. n! The limit of the ratio test simplifie...

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Q: The lower edge of a 5 foot tall painting is 1 feet above your eye level (see picture below for the i...

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Q: sin(x ²–4) -4) lim x+2) tan (x+2) x→-2

A: Rearrange the expression than Apply the limit and simplify. 

Q: Evaluate the integral [ f(x) dx, where S2- x', x 1 (Use symbolic notation and fractions where neede...

A: Definite integral: - The value of the definite integral is unique. A definite integral is symbolized...

Q: Find the area of the shaded figure, rounded to two decimals. (Assume x = 3 and y = 7.) 10.26 y y y

A: Given: x = 3 and y = 7. Observe that the given shaded figure has two triangles with length of the si...

Q: Find the equation of a parabola with vertex on the line y = 2X, axis parallel to the x- axis and pas...

A: The equation of parabola parallel to horizontal axis is  x=(y-k)2+h --------------------(1) The line...

Q: MJM) Using logarithmic differentiation find the gradient of the tangent to the curve represented by ...

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Q: Sociologists model the spread of rumors using logistic equations. The key assumption is that at any ...

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Q: Determine the solutions of the following differential equations using Type IV:

A: Given that: (x2-x-2y+1)dx-xdy=0 and y(1)=12

Q: Given: x = 0 – sin 0; y= 1– cos 0 d'y Find: dz2 O d'y 1 dz2 (1-cos 0) d'y 1 dz2 (1-cos 0) 1 dz? (1-c...

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Q: Starting with the graph of f(z) = 2", write the equation of the graph that results when: (a) f(x) is...

A: Given f(x)=2x

Q: Solve the following exercises using IF method Answers EXERCISE 3. dy + 2y = 10.x? ; y(1) = 3 3. Gene...

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Q: Find the limit. Use l'Hospital's rule if appropriate. If there is a more elementary method, consider...

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Q: The possible letters are d, l, n, t, and v, and we wish to form a four-letter sequence. Therefore, w...

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Q: 7/(2+7x2) what is concave up and what is concave down.(Type an exact answer in simplified form. Typ...

A: Put f``(x)=0 and find values of x

Q: Q.41 The value of the quantity P, where P = | xe*dx, is equal to

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Q: Graph one period of: y=3sec(2x-π)-1

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Q: Calculate the integral, assuming that 6 f(x) dx = 16 and g(x) dx = 3. %3D (Give your answer as a who...

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Q: 2 For f(x) = x-7 and g(x)= , find the following composite functions and state the domain of each. (a...

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Q: Find the general indefinite integral. (Use C for the constant of integration.) sin 2x 9. dx sin x

A: Explanation of the answer is as follows

Q: 4. -2 sday Solve and check for any extraneous solutions. day %3D x+4 x+3

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Q: . Find a cartesian equation for the given parametric equations: a) x = t2 – 4 and y =t+1 b) x = 2 co...

A: Eliminating t