the product z1 z2 in polar form? Z1 = 3 cis z2 = 4 cis - cis (금) cis () 7x 2 cis ()

Q: 2) Evaluate the integral and check your answer by differentiating. – 2x dx a) J"(2-x)° dx b)

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Q: dy Use implicit differentiation to determine given the equation zy + cos(x) = e". dz dy y + sin(z dr…

A: The detailed solution is given below Thank you

Q: Test whether the differential equations are exact and solve those that are. I- y = %3D 2yt+1 -2xy…

A: Given

Q: I. PROBLEM SOLVING Directions: Read and analyze the problem then solve it. 1. COVID-19 is one of the…

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Q: Evaluate: | V12 – 2| +x dx

A: Explanation of the answer is as follows

Q: Direction: Find the antiderivative given the function J (5x + 2)´dx and its corresponding solution.

A: using integration by substitution

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n- lim Submit Answer

A: To find the value of: limn→∞∑  i=1n3+in2n=limn→∞2n∑  i=1n3+in=limn→∞2n3∑  i=1n1+1n∑  i=1ni...(2)

Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin'x+ 3 cos?x=1+2…

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Q: [[ 31? dA; R is bounded by y = 0, y = 2x + 4, and y =

A: Given problem:- Sketch the regions of integration and evaluate the following integrals. ∫R∫ 3x2dA ,…

Q: The following integral may be solved using substitution. Choose a function u that may be used to…

A: This question is based on indefinite integral.

Q: Find the cost function if the marginal cost function is C'(x) = 6x -7 and the fixed cost is $7.

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Q: Suppose that 10 grams of the 1 plutonium isotope Pu239 was released in the .Chernobyl nuclear…

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Q: Cnudan a pundre uuofree shrse trces nre prrabolae le » k).prrabolae ly - k). and kyyorobolne g = k).…

A: To find the quadratic surface whose traces are parabola(x=k), parabola(y=k) and hyperbola(z=k).

Q: Find the derivative of the function at P, in the direction of u. x- 3y g(x.y) = 2хy +3 Ро(1, - 1),…

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Q: (B) Define the integral domain ring. Is the product of integral domain rings also an integr domain?

A: Integral domain: Integral domain is nontrivial ring with unity, containing no divisor of zero.

Q: Use substitution to find the indefinite integral. 6x + 5 -dx (9x? + 15x) 2 S 6x + 5 xp. 3 (9x? +…

A: The detailed solution is given below Thank you

Q: 2 x= - 5, x=2, y = 5x, y =x -6

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Q: The limit lim x · In cos エ→0 is an indeterminate form of type 0 ·o. Select one: O True O False

A: LetL=limx→∞ xlncos1xL=∞.ln(cos(1∞))L=∞.ln(cos(0))L=∞.ln(1))L=∞.0Which is undefine

Q: 3 csc 6x 07. lim,-n12 'xn/2 csc 2x

A: Given;  Limx-pi/2  3 csc6x/(csc2x)

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A: Given a function f(x) = 8/(x-7) (x-1)

Q: Evaluate the integral: 2T So * cos? (0)d0 *Input answer as decimal round-off to 2 decimal places

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Q: 3. x = y? ,x = -2y² + 3

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Q: Let D be the region that is bounded by the surface z = x + y² and the plane z = 4. ,2 a) Find the…

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Q: S(x4 – 4x5

A: Evaluate the integral

Q: 2. xy -(xy? cot Cans ☆ +y?)

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Q: If y = 3 then dy/dx = 4+x O -6x/ (4 + x² )2 O 3x/ (4 + x² )² O 6x/ (4 + x² )2 O -31 (4 + x? )?

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Q: Find the general solution of the differentlal equation. (Use C for the constant of Integration.) dy…

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Q: The curve with equation y? = 2x³3+ 10a² is called a Tschirnhausen cubic. Find the equation of the…

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Q: X+ 0.4Inx 04. lim, X+3lnx

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Q: 2. Determine the value of c, so the given vectors are perpendicular: u=[-4c, 3], v = [-1, 2]

A: L

Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…

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Q: 5) A cup of coffee cools at rate proportional to the difference between the constant room…

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Q: dy =-2x tan y, 1- y(0) = 1/2. dx 2- 2 ydx CSOS 3- e*dx-ydy 0, y(0) = 1

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Q: Given: f(x) = 60x3/4(40000-x)1/4 Task: Find f'(x).

A: Here, the given function is: f(x)=60x34(40000-x)14 We use the product rule and chain rule here,…

Q: (2r+1)dr 5. S r2+2r+1 3r+5

A:

Q: 1. Which of the following relations is FALSE. A) (ab)" = a"b" B) C) (a")" = a"* D)

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost others.…

Q: 1.1 1) lim (2) x3+8 X→-2

A: Given query is to find the limit nofnthe expression

Q: dy cot X Cos X Sin x +y=

A: The given DE is: cot x dydx+y=cos3xsin x⇒dydx+ycot x=cos3xsin x1cot x⇒dydx+(tan x) y=cot…

Q: -9dx xVx2-9

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Q: Let f R R be continuous and let F be an antiderivative of/. If F) dr = 0 for some k > 1, then xf (x)…

A: This is a problem of integration. Based on the general formula and concept we will answer.

Q: Evaluate [², dx V4-x2 2.

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Q: Solve the system. If the system has infinitely many solutions, write the solution set with x…

A: To find the solution set of the given system of equations.

Q: The value of the triple integral I| 4xydV where E is the region 2x2 + 2y – 7 and pounded by z = z =…

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Q: C. Solve as indicated. 2. Find the first 10 terms of a sequence in which the fourth term is 114 and…

A: Let us consider an A.P series with first term= a and common difference=d  Then the nth term =…

Q: Use the tabular method to evaluate the integral |* + 2x – 1) cos(42)dx

A: Explanation of the answer is as follows

Q: Evaluate the following integrals. Please give me complete, neat, and organized solutions and boxed…

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Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

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Q: dx (2x241)a

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.