Match the point in polar coordinates with either A, B, C, or D on the graph.

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x²…

A: 2a intersection

Q: * ifr = 8 sece then the cartesian equation is

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Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). %3D Solution: Reason:

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Q: Solving by variation of parametery"-4y' + 4y = xe2x, the value of Wronskian W is: xe^4x O None of…

A: We can solve this as follows:

Q: Solving by variation of parameters y"-3y =x we find that: O None of them O u1=(-1/6) x, u_2=-e^(-3x)…

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Q: 12. Consider the region R bounded by the line y = 37 – 7x and the parabola y = 27 – x² . %3D Find…

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Q: Determine whether the series is absolutely converger convergent or divergent. Please provide…

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Q: 3. Compute the area bounded by the limacon r(0) =1+2sin 0 excluding the area of the inner loop.

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Q: The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form…

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Q: Express the limit as a definite integral on the given interval. lim 2 x;)?+9 -ах, [1,4] (x;")² + 9'…

A: Use;∫abf(x) dx =limn→∞ ∑n=1n f(xi) ∆x                       over the given interval [a, b].

Q: Given the geometric sequence where a, = 2 and r = 2 Find a10-. 32 256/2 32/2 256 O O

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Q: Let x'y"-7xy' + 16y= 0 be an ordinary differential equation. Knowing that y,(x)=x* is a solution of…

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Q: 24 Evaluate the following. 5! 120 15 720

A: 24)  To evaluate: 5!

Q: Using appropriate trigonometric substitution, dx xV4 – x2 is transformed to J csc 0 de cos e do the…

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Q: 3. Which of the following integrals cannot be evaluated using a simple substitution? 1 xp- x +1 ,4 1…

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Q: The terms of a series are defined recursively by the equations az = 5 5n + 2. an. an+1 4n + 11…

A: Here, the given series has: a1=5, an+1=5n+24n+11an

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

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Q: Use Newton's method to approximate a root of the equation 5x' + 6x* + 2 = 0 as follows. Let æ1 = 2…

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Q: Without evaluating the constants, the partial fraction decomposition for 5x? – 3 - f(x) %3D (x3 –…

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Q: Using decomposition into partial fractions, 4x2 + 2 dx x(x² + 2) is equal to In|x (x² + 2)| + C…

A: Solution is given below:

Q: Given that the graph of f(x) passes through the point (4, 3) and that the slope of its tangent line…

A: Given query is to find the value of the first function at indicated point.

Q: Which of the following is the particular solution of a nonhomogeneous differential equation…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost the…

Q: ASK YOUR TEACHER Consider the following problem: a box with an open top is to be constructed from a…

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Q: The particular solution y, of the differential equation y" + 4y' + 4y 3x2 + 1 is (1/8) (1-2x+6x^2) O…

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Q: Using the variations of parameters method for the differential equation y" + 2y'+ y = e* In(x), we…

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Q: Hello good day, can you help me. Make your own sample problem about Integration of hyperbolic 5…

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Q: Express the series using sigma notation -5 + 10 - 20 + 40 - 80.

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Q: By writing the summation of the two power series E=3 (n– 2)(n+1)c,x"-3+ En=0 Cnx" = 0, we obtain:…

A: Please see the answer below.

Q: For the differential equation (x² – 3)y" + (x+ V3)y' + y = 0, singular point is a regular X=9 x=3…

A: Given

Q: If the differential equation ydx+xdy= 0 is being solved, what is the geometrical figure represented…

A: Differential equations

Q: A differentiable function f(x, y) has the property that f(1, 4) = 5 and f-(1, 4) = 3 and f,(1, 4) =…

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Q: Without evaluating the constants, the partial fraction decomposition for 5x2 – 3 - f(x) : %3D (x³ –…

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Q: Question 9 19. Se3z tanh(e3) In cosh(e³²)dz a. 1/6 (In cosh (e"))² +c c. 1/3 (In cosh (e))² +c b.…

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Q: During its first season, the number of viewers who watched the new television programn can be…

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Q: Evaluate the summation i=1 28 10 30

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Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: Explained below

Q: Consider the differential equation (x- 1)y" + y' = 0. By using power series so- lution about the…

A: Please see the below picture for detailed solution.

Q: Evaluate each of the following integrals. 1. sin x cos' x dx

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Q: In the following exercises, find each indefinite integral by using appropriate substitutions. dx 8.…

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Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A: We need to find dimension of the garden.

Q: Sda = In|a| +C and S da = In|a°|+C. In|x2|+ C. Sæ" dx xn+1 +C, for any real number n. n+1 If f(x)…

A: 1.∫1xdx=lnx+c is true. We know from integration formula.  2. ∫1x2dx=∫x-2dx Solving the integration…

Q: b) sec(arcsin x2+4, 以a sin g 孙 OPP Los : als hyp a-t6-cと とい ))Not how sec = x-Vxty %3D exponent…

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Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y = 0, a regular singular point is: X=4 x=2…

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Q: Solving by variation of parameters y"-3y' x the general solution is: O None of them O c_1+c_2…

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Q: Evaluate the following integrals. 4x545 2. 3. fx Vr? - 4dx 4. S(2- sin 4r) dr

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

Q: Using appropriate substitution, S [sec³ (2x) – 2] tan(2x) dx is equal to

A: integration

Q: The integral 4x dx Vx2 – 4 1 is an improper integral of typel is an improper integral of type II…

A: The given problem is solved below in detail.

Q: Suppose that the marginal cost function of a handbag manufac C"(x) = 3 -x² – x + 200 32 Quotlent %3D…

A: I have stated the used formula in the solution.

Q: Some values for a relation are given in the table. Is the relation a function? Find the domain and…

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Q: man wishes to use 100 feet of fencing to enclose a rectangular garden. Determine the maximum…

A: Given query is to find the maximum possible area.