1-Show that У +їх ave X + iy =/=1 where Complex numbers ? X+iy and

Q: Consider the functions z= - ex In y, x = In (u cos v), and y = u sin v. dz əz (a) Express and as…

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Q: If repetition is not allowed, in how many ways can we arrange ♣, ♠, ♦, and ♥ a) four at a time? b)…

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Q: V. En el siguiente ejercicio obtent 1 + Int 1 - Int

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: M8 1 Σ n=1 h n’ + 8 +8 3

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Q: 5. y" + 8y + 16y = 0

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Q: This question is designed to be answered without a calculator. (10¹ x) = (In x)10¹n x-1 O (In…

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Q: 7) If z(x,y) = x² + y², x=u+v, and y=u-v, find dz du

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Q: Find the equation of the tangent line to the function f(x) = 5* at x = 4. (Use symbolic notation and…

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Q: his question is designed to be answered without a calculator. = f(x) = 1-2e-x, then f has horizontal…

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Q: √√5³-25² 2s + s ds

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Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² + 1 a. (4,1) b. (2,4)…

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Q: Use the first derivative to determine where the function is increasing and decreasing and where all…

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Q: Evaluate the definite integral. 8 (2n-²-n-³) dn 8 (2n-²-n-³) dn=[ 4 (Type an integer or a simplified…

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Q: . Find the derivative of a composite function using the Chain Rule or General Power Rule. 1.)…

A: As per the company's guidelines, we are supposed to solve first three sub-parts for you, kindly…

Q: Consider the following series, (x - 2)" Σ n5 + 1 n=0 (a) Find the radius of convergence, R , of the…

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Q: Flag question Find all the possible x-values of f(x) = √√x - 10

A: In this question, we need to find the possible x-values of the given function.

Q: Given z x-y * Find Zyy xy.

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Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: 4. Find the member of the curve whose slope at any point is and passes through the point (3, 4)

A: Given slope (m) = 3x/4y Passing through a point (3,4) Therefore member of the curve whose slope…

Q: Let f(x) = 5x² - 2²/2 + 8√√x-²3 (a) Find f'(x) (b) Find an equation for the tangent line to the…

A: As we know that; The equation of the tangent line is: y-y0=mx-x0 Where m is the slope of the tangent…

Q: Əw Given w = xysin(z²), x=s-t, y=s², z t². Find Əy əw ду = y sin z ² Option 1 O Option 3 aw = x sin…

A: Topic:- derivatives

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

A: Question- Assuming that the equation below defines y as a differentiable function of x, find the…

Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: center of the mass of a thin density covering the Constant density 8. by the x-axis and EA Y = 3/2/…

A: We have been given that curve  y =32cosx with -π3 ≤x≤π3                  and   density…

Q: Jo dx 0 1-x² 2 e) fx√x² + 1dx (Hint: use a substitution)

A: Use substitution to solve

Q: 11.) Solve using matrices and Gaussian elimination: x+y+z= 9 -x-3y + 2z = 10 2x + z = 9

A: Please see the below picture for detailed solution.

Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

Q: Use linear approximation, i.e. the tangent line, to approximate √25.2 as follows: Let f(x)=√x. Find…

A: Linear approximation for fx=x at a=25The linear approximation of the function fx at point a is Lx =…

Q: Find the equation for the plane through the points Po(1,4,-3), Qo (5,5, -1), and Ro(-2,4,-5 The…

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Q: air resistance can be ignored, how high does it go?

A: Given query is to find the height of the ball.

Q: 1- Use the shell method to find the volume of the solids generated by revolving the shaded region…

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Q: lim x→0 tan2x-2sinx x3

A: A detailed solution is given below.

Q: c) 1/2 1 1-x² dx

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Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Let us assume it takes n half-lifes to reach 10mg

Q: Find the area between (bounded) by the Curves y=x² +10x and y= 2x + 9°

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Q: Evaluate the following integrals: 0 (Cartesian to Polar) Given the cartesian coordinate, find FOUR…

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Q: This question is designed to be answered without a What is the particular solution of d = 2xy-y…

A: Solving the differential equation by seperation of variables.

Q: A Moving to another question will save this response. Question 11 {CLO-1} Find the values of a and b…

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Q: Problem 2. Consider the equation z = x² + y² + 1 A. Find the equations for az- and yz-traces. B.…

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Q: A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by cutting…

A: Question- A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by…

Q: A rectangular swimming pool is 42 ft wide by 75 ft long. The table gives depths (d) from x = 0 at…

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Q: For each given functions, find the slope of the tangent at a given point using first principle…

A: We have to find the equation of tangent.

Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 (assume the…

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Q: Use the shell Method to Find the Volume of the bounded by Solid generated by by revolving the region…

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Q: The doubling time of an investment with continuous compound interest is 12.5 years. If the…

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Q: 12. What is the amplitude of the graph below? y 4 0 8+ 7+ 6+ 5+ 4+ 3++ -1- -3+ -4+ -5- -6+ -7+ -8+…

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Q: Find the domain of =) = √x² – 3x

A: Given query is to find the domain of the function.

Q: Obtain the general solution unless otherwise instructed -24 y'"' + 4y″ + 9y' + 10y = ² when x = y =…

A: Given

Q: Q: find the cartesian equation of the plane Containing the point p(2.1.1) and parallel to the plane…

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Q: You made a mistake in the calculation. The final answer is 31,972.5. But thanks for the process.

A: Silly mistake in calculation, we provide correct calculations