Write z, and z₂ in polar form. (Express 8 in radians. Let 0 ≤ 8 < 2m.) Z₁ = 4√3-41, 2₂ = -1 +/ Л 2₁ = 8 cos i sin 6 6 X

Q: 7. y' = e² + 2y; y(0) = 2

A: We need to solve D.E. As per Bartleby's guidelines we can solve one question from multiple question.…

Q: 1. (2x6x5 +7x³-3x² - 11) dx 2. f(9y2 +6y-4-y-5+1) dy (12x-x+x) dx 3.

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Q: 1 - cosh x lim x→0+ ln(x² + 1)

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Q: approaching

A: Please refer to the image below

Q: Determine the maximum value of the function f(x)=2sinxcosx on the interval [0, π]

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Q: Write the first five terms of the sequence, give the exact answer: {n+13) n=1 Determine whether the…

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Q: Find the area of the region bounded by the curves y = the x-axis using vertical strip. (x+1)2 y = 4…

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Q: Evaluate St dx 0 √9-4x2 a. 0.285 b. 0.123 c. 0.423 d. 0.365 e. NONE OF THE ABOVE

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Q: 3. +∞ 8 -∞ dx x² + 1

A: Given ∫-∞∞dxx2+1To evaluate the integral:

Q: VII. Given a region R enclosed by the curves y = 1 + sin (F), 4 as shown below. (2,4) (2, 2) (-2,0)…

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Q: 3.2 Differentiate 3.2.1 y= x¹ tan 3x. 3.2.2_y=ln(2x²+1). e +1 3.2.3 y=- -1 the following with…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: √²2² √(-2² + 1)³ dz

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Q: ind the absolute extremum values of f(x) = xe² on the interval [0, 1]. Note: e 0.22) ≈

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Q: fsec³ 7x tan5 7x dx 4.

A: Let's solve given integration.

Q: What is the y-coordinate of the centroid of the plane region bounded b y = x^2 - 4 and y = 2x - x^2…

A: Y coordinates of centroid of plane is given.

Q: The following differential equation is a Bernoulli equation: 2 dy = y³ where y = f(t) dt t By making…

A: To convert into linear differential equation.

Q: dentify the surfaces of the following equations by converting them into equations in the Cartesian…

A: The given data is: To identify the surfaces: z2=4+4r2

Q: S 36x2+25 - dx

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Q: What is the center of gravity of the solid formed when the plane region bounded by y = x^2 and y=x+2…

A: We need to find center of gravity.

Q: Determine the instantaneous rate of change of the function πt ³ √x sin 2 f(x) = LV x3 1 + √t at x=2.…

A: Leibnitz integral rule.

Q: Find the area of the region pictured below that is bounded by the functions f(x) = x² - 7x + 12 and…

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Q: 4x Find the average value of the function f(x) = = 5 Submit your answer as an exact value. Provide…

A: We know that average  value of the function f(x) on [a,b,] is 1b-a∫abf(x)dx

Q: Question 2 A piecewise function is defined as f(t) = {2t²-4 3 0 ≤t<5 t25 i. Sketch the graph of…

A: Explanation of the answer is as follows

Q: PLEASE SHOW COMPLETE SOLUTION.   Find each of the two areas bounded by the curves y = x^3 − 4x and…

A: Follow the procedure given below.

Q: 3 foa 0 (|3x − 1| + |3* – 3|) dx

A: Use integral concept

Q: Define R as the region bounded by the functions f(x) = 3 and g(x) = x + 1 between x = 0 and x = 1.…

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Q: VI. Determine the instantaneous rate of change of the function √x sin (³) In 2 = = [X² f(x): dt 1 +…

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Q: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: x≤ 1,0 ≤ y ≤ √1-x²,…

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Q: Find the solution of the given initial value problem. 2 cos t y' - - Y y (π) = 0, t> 0 t-2' y(t)

A: Given: y'-2ty=costt-2,       yπ=0

Q: 3. Determine whether the following pairs of functions are linearly dependent or linearly…

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Q: Find the value of the following definite integrals. Show your solution. 1. f(x¹+4) dx 2. (cos x +…

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Q: Find the absolute extremum values of f(x) = xe²-2x² on the interval [0, 1]. (Note: ez ≈ 0.22)

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Q: Using the process shown in this unit, sketch the function y = 2x3 - 3x2 - 11x + 6, labelling all key…

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Q: 1. S 2 cos xsinx V2+cosx -dx

A: The answer is given below:

Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: company

A: Please refer to the image below

Q: IV. Solve the following problems completely. 1. Use local linear approximation to estimate √√(3.…

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Q: Prove that d/dx(cos x) = −sin⁡ x using the definition of the derivative.

A: Given: fx=cosx   As we know from the definition of the derivative; The expression for the derivative…

Q: Find the area (in square units) bounded by the parabolas x² + 2y - 8 = 0. a. 7.10 sq. units b. 7.01…

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Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)=pi/6. 1…

A: We use the concept of exact differential equations to find the general solution to given…

Q: Nxx X-√√x 3 olx

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Q: 2. (² (sin³x)√1+cos x dx

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Q: Evaluate ¹ dx √√9-4x2 a. 0.285 b. 0.123 c. 0.423 d. 0.365 e. NONE OF THE ABOVE

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Q: Find the area bounded by the curve y = coshx and the x- axis from x = 0 to x = 1. a. 11.75 sq. units…

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Q: I. Evaluate the following limits 2. lim (3 + x)² x → +∞o

A: Given

Q: I. Evaluate the following limits 2. lim (3 + x)² x → +∞0

A: Given problem :- limx→+∞3x+x1x

Q: 1. Evaluate the integral: 2³ cos (dt du

A: Given

Q: 5 sine cose de Sin²+ 3sine - 4

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Q: Find the volume generated if the area between y = coshx and x- axis from x = 0 to x = 1 is resolved…

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Q: There are two 12-hour clocks, Clock A and Clock B. One clock is broken and it runs at a different…

A: Concept: There are two clocks A and B, one clock is broken and another one is normal which means…