Use a change of variables to find the indefinite integral. Check your work by differentiation. 1 xp- V1-4x?

Q: Bag A contains 3 white marbles and 2 red marbles. Bag B contains 6 white marbles and 3 red marbles,…

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Q: Compute the partial derivatives: ,2 z = In(x² + y³) az dy

A: Use partial derivative

Q: Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t…

A: Let's find.

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: 1. S x(x2022+1) dx

A: The given problem is solved below in detail.

Q: Express the series using sigma notation 6m + 3m + 0 + (-3m) + (-6m) ...

A: Consider the series 6m + 3m + 0 + (-3m) + (-6m) ...

Q: Find the Jacobian of the transformation. x = 6u/v,    y = 7v/w,    z = 4w/u ∂(x, y, z) ∂(u, v, w) =

A: To find the Jacobian ∂x, y, z∂u, v, w of the following transformation.x=6uv, y=7vw, z=4wu

Q: 3 2 - VX dx x² – 4 1 2]

A: ∫12xx2-43dxLet u=x2-4.=∫-3012u3du=12·∫-301u3du=1232u23-30=12--123· 323·32=-3-123· 3234

Q: Question 12 Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest…

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

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Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

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

A: Given :5x2-3(x3-4x)(x2+3x+2)(x2+1)

Q: Find the linearization L(x, y) of the f(x, y) = x°y® at the point (2, 2). L(x, y) = %3D

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

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Q: 5. Prove lim,40 V2r +I= 1.

A: Given :limx→02x+1=1

Q: 1, g(z) VI+1 find the domains of (fg)(r) and (4)(). Is 3. If f(r) = VT (f9)() = V-1?(20 p) %3D Hinti…

A: Find your answer below

Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

A: This question can be solved using the concept of function.

Q: For f(x)=3xv(4-x²) determir within its domain..

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Q: The solution of the Ordinary Differential Equation 4y" - y' - 3y = 0 if y(0) O and y'(0) %3| 7 - is:…

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Q: x2-4 dx S xVx2-9

A: solution:-∫x2-4xx2-9dx=∫xx2-9dx-∫4xx2-9dx                            =12∫2xx2-9dx-4∫1xx2-32dx…

Q: 6. The equation 4 (x – 1)2 + 4 (y+ 2)? + 4 (z – 3)² = 1 represents a sphere. %3D 6.1. What is its…

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Q: 8. Amanda invests some money for her retirement. The account pays 9%/a compounded quarterly. How…

A: I have stated the used formula in the solution

Q: Solve the system by the method of substitution. (If there is no solution, enter NO SOLUTION.) [x² +…

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Q: 1. Use the graph of f(x) below to a Determine tht demain and ramge-ofthe fencion D Tind all x such…

A: From the given graph we have to find its required information.

Q: If a series Σ an n=1 is convergent, then it is absolutely convergent.

A: 1)∑n=1∞ an is convergent,then the series may not be convergent.for example, an is alernating…

Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x² is…

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Q: Find the cofactor matrix of the following matrix 1 0 1 A = 4 -2 5 1

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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: 3x2 – 2x – 8 - Let f(x) 3x2 – 11x + 6 - This function has: 1) A y-intercept at the point 2)…

A: Simplify the function using definition of asymptote.

Q: 2) which of these statements is(are) true?: P: The cross Product is commutative Q: The cross Product…

A: Please follow the explanation in the next step.

Q: Exercise 1. Find the following limits 2 3x + tan 2x 2x + x tan 2x sin 1) lim 2) lim 5x +x tan 2x 3)…

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Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…

A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…

Q: Express the limit as a definite integral on the given interval. [4(x;")3 – 4x;1Ax, [2, 7] lim i = 1…

A: Solve the following

Q: The eraph of a function is given. Use the graph to find the indicated limit and function value, or…

A: (a)limx→1f(x)=-3becauseleft hand limit=right hand limitlimx→1-f(x)= limx→1+f(x)=-3

Q: The value of E +2i+1 is i-1 139 146 124 90

A: Solving

Q: f(0) = –3, f' (0) = –15, f"(0) = –3, f"'(0): f(x) = +..

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Q: What is the solution of D.E y"- 3y' = -2cos(2x) when solved using the method of undetermined…

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Q: Solve the given equation for x. 420-4 = 39 You may enter the exact value or round to 4 decimal…

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Q: A particle is moving with acceleration a(t) = 36t + 2. its position at time t = 0 is s(0) = 2 and…

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Q: degrees

A: We will find the degree of freedom.

Q: 5. If sin 0 = and 0 in the first quadrant, find cos 20.

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sec?(e) tan°(e) de…

A: Consider the integral  ∫sec2θ tan9θ dθ

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

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Q: - f(æ) = Where is %3D discontinuous? x2 + 3x – 18 - o f(x) is continuous everwhere O 3 O-3 and 6 O-6…

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Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 600t – 120t2, where t…

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Q: Find the first five terms of the Taylor series for the function f(x) = lnx) about the point a = 2.…

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Q: Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

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Q: 4 8. + 6. 16 Consider the following geometric series: 2+ + .... Identify a and r, find a formula for…

A: The given series is  2+4/3 +8/9 +16/27+...

Q: these O 6) Eliminate the x = t , parameter and find à corresponding rectangular equation: y = 2 –3 t

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