1. (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

Q: Use the Quotient Rule to calculate the derivative for the function f(x) = 8 1+ex .

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Q: Evaluate the difference quotient f(a + h) - f(a) / h for the function f(x) = x ^ 2 + 4x - 5

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Q: The arc length of y=In(cos x), 0<x<• is 3 ○A In (√2-1) A. ○ B. In (1+√3) C. In (2+√√3) D. In…

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Q: My - Nx N If = Q, where is a function of x only, then the differential equation M + Ny = 0 has an…

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Q: . Determine the area below f(x) = 8x - 2x² and above the x-axis.

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Q: Please explain this process: 49 7.760 Σ 7+1 10⁰ 49 = 3 1-7 3 10 ↑ n= P 16.33

A: Using geometry series

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

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Q: Find the derivative of the function using the chain rule. y = log10(7x)

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Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 1 about the x-axis.…

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Q: Using the matrices -2 -3 0 D = 1 0 2 1 2 1 compute the following. tr(2E¹-D) = -3 -4 -1 E = tr(2ET -…

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Q: 2) z³ - 3x ²y + 6 xyz = 0; use the method of partial differentiation Əz Əz to find 2x 1 ду

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Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y² = x and y = x³.

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Q: Find the distance between the points. (−14, 1), (1, −7)                     units

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Q: 4a) S 3x+7 (8+6x-9x²) 3/2 -dx 4b) S 2x²-11x-1 (x+3)(x² +1) -dx

A: ∫un du =un+1n+1+C ∫sec2(u) du = tan(u) +C Note : As per our guidelines ,we can solve first question.…

Q: 2 ind the arc length for f(x) = 6-2 x² over the interval [0, 2].

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Q: Find the first derivative of f = (h+2)² (2h+1) h²+3 V using logarithmic differentiation

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Q: The order of differentiation in multiple integration of continuous integrand A. has six…

A: According to the Fubini's theorem "the  order of differentiation in mulple integration can be…

Q: a. Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 2, -4, and 3…

A: Here we will find all equations,

Q: Find the root of f(x)=(x^2)-5, in interval [0,4] by using bisection method.

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Q: Prove that √1+i√3+√1-i√3 = √6

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Q: compute each of the problem completely. (Partial Derivatives) 1) Compute Əz 25 and да at for 2=x²y,…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Q1: If the function f(x) define as f: R →R such that f(x)= (x+1, x>2 x²-1, x≤2 Show that the…

A: Solution is given below:

Q: Find the absolute extrema of f on the given closed interval. 1. f(x)= x³ + 3x² - 9x ; [-4,4]

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Q: fcos³ xdx from a = 0 to b = 3. 2

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Q: Find the derivative of each of the following functions:- log₂ x 2. y=- X

A: Given problem:- Find the derivative of y=log2x/x

Q: Consider the right triangle shown below where a = 7.02, b = 11.18, and c = 13.2. Note that and are…

A: Given, a=7.02,b=11.18c=13.2

Q: Show that the points form the vertices of the polygon. isosceles triangle:     (4, −4), (5, 2),…

A: Solve the following

Q: For each of the questions below, indicate if the statement is true (T) or false (F). (a) Any…

A: Note:- according to the company policy we can do only 3 subparts of a question so please upload the…

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32)sin(t)dt

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Q: All exponential functions can be written in many forms. Write the function f(t) = 6100e0.07t in the…

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Q: 4. h(x, y) = xe +y+1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Please can I have the correct solution to this mathematics problem in a step by step form. Thanks…

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Q: (B) Use Tabular integration f(t³-4t² to evaluate the following: - + 5t+ 32) sin(t)dt

A: We nee to evaluate ∫t3-4t2+5t+32 sin(t) dt

Q: Y = cos x, y = eª, x = = 0, and x = π 2

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Q: DETERMINE WHETHER THE GIVEN FUNCTION n(x) IS CONTINUOUS OR DISCONTINUOUS AT x = 2 3x² +4 n(x) = if x…

A: For function to be continuous at any point, limiting value of function at that point must be equal…

Q: A line segment has (x₁, y₁) as one endpoint and (xm, Ym) as its midpoint. Find the other endpoint…

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Q: 5. y"+y= secx tan x

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Q: Find the coordinates of the vertices of the polygon after the indicated translation to a new…

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Q: Find the area bounded by the curves y=x2-4x and y=x-2 at an interval [0,4]

A: To find the area bounded by the curves y=x2-4x and y=x-2 at an interval 0, 4.

Q: 1.₁-1/dt 2. -1 -2es-1ds

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Q: Let U= {x:x EZ,0 < x < 16} A = { x: x € N and (x − (1 + m))(x − (2 + n)) = 0}, B = {8,6,7,9} and -…

A: a.U in set builder form is U={x:x∈Z,0≤x&lt;16}.So, U in roster form is…

Q: 4 Y y = 1 x = y² B A (0,0) y = x² C (1, 1) X=1 X

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) n = 4, c = 2 +2² P4(x) = = =

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Q: 2. A basketball is being filled with air at a rate of 6 in /sec. (You can assume the basketball is a…

A: Given change in volme dV/dt= 6in3/sec Radius of ball is r= 1in then diameter   d= 2in Formula:…

Q: The arc length of 元 y=ln(cos x), 0<x<= is 3 the curve

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Q: Question 7 AL Given that APOBDEA and APOCA are semicircles with centre O and P respectively. AP = 10…

A: We can solve the given question by the help of trigonometry.

Q: 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4].

A: Given a=i+2j-3k b=2i-j+4k Aim : to find unit vector perpendicular to a and b

Q: Which of the following is not an indeterminate form? * ∞-∞ O Option 1 0/0 O Option 2 1∞ 1/0

A: Topic = Limits Correct option = 4

Q: dr Given arcsin(z) = arccos(r²), solve for dz |

A: This is a problem related to derivative of the function. Based on the general formula and concept we…