Find the derivative of the trigonometric function. y(x) = cos(sqrt(sin(cot(pi*x))))

Q: 2. Which integral gives the area of the region in the first quadrant bounded by the graphs of y2 = x…

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Q: Find the tangent line approximation for √1 + x near x = 5. y = |

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Q: Find the equation of the plane that passes through the points (3, -2, 2), (-9, 2, 4) and (-6, -4,…

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Q: (a) Find (in terms of m) lim f(x) z--1¹ Limit= (b) Find (in terms of m) _lim_ f(x) Limit= (c) Find…

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Q: Find a plane through the points (3,4,-1), (-6,-7,-1), (8,1,6)

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Q: find the solution of the problem with given initial value, using homogeneous equations with constant…

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Q: Find the volume of a pyramid with height 19 and rectangular base with dimensions 4 and 11 using…

A: Let's find volume by integration.

Q: Q2: (A) Show that if y=csc(u), then dy -csc(u) cot(u) du dx

A: I have stated the used formula in the solution

Q: * 37 015) 15/(x)=x+cosx, xe[0, z], then the function has an inflection point at x A)- 110) C D) # 2…

A: Asked questions are solved.

Q: 49 - x² Evaluate the integral: dx 8x² (A) Which trig substitution is correct for this integral? x =…

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Q: (c) an = (-1)". 2n n!

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Q: Solve the following matrix equation for a, b, c, and d. b b + c 2 [ad - [10²] = 3d + c 2a - 4d 11 6…

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Q: a.) Show that an is a perfect square where the sequence {an) is defined recursively by an+2 =…

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Q: fferential Equations: Growth and Decay Answer the given problem. Show your solution completely with…

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Q: Find a power series representation for the function. f(x) = x2 tan-1(x3) f(x) = Σ n = 0 Determine…

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Q: Find the equation of the plane having the points P(1, 2,5), Q(-2, 0, 1), and R(-3,-4,1). 8x + 2y 5z…

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Q: A clothing store buys scarves for $22.00 less 27% for buying over 50 pairs, and less a further 24-%…

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Q: Q2/ Find the velocity, speed, unit tangent vector and acceleration of the position vector f(t) at…

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

Q: 1. f(x) da converges, then If f(x) ≤ g(x) for all z in [a, +∞o) and converges. g(x) dx also

A: Given

Q: Given that f(-10) = -0.1 and f(-9.6) = 1.8, approximate f'(-10). f'(-10) ~ ≈ 94

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Q: Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j at X…

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Q: 10-13. Limit definition of the definite integral Use the limit defini- tion of the definite integral…

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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: To show that function f is differentiable at point x=2

Q: . Determine the area below f(x) = 8x - 2x² and above 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: 7. y - 5y + 7y" - 5y' + 6y = x² + 3x - 5 Ans: y = C₁e³x + C₂e²x + C3 cos x + C₁ sin x + x² + ²x -…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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…

Q: Evaluate the following: 1. [ sinh(4)dæ

A: Application of integration

Q: Consider the triple integral JJJ (x+y+z)dV E where E is the solid enclosed by the cylinder x² + y² =…

A: Let's solve A and B part.

Q: Let f(x, y, z) = n(4xy) + sin(xy² + ye*). Find fayz.

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Q: Given the points A = (1,-2, 3) and B = ( 3, 4, -1), find the following:

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Q: a = 3n-2a What are the first 5 terms of the sequence represented by an Show all work for full…

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Q: items 12-15, consider the region bounded by the curve y = cosx and the x-axis, where 0 ≤ x ≤ What is…

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Q: I. Find the general solution of the following: 2x* 1. dx 2.d = xy 3. dy = (6e³x + 1)dx

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Q: The linearization a at a = 0 to √8+7x is A + Br. Compute A and B. A B=

A: To Find: Linearization for fx=8+7x at a=0

Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…

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Q: Find an antiderivative F(x) of the function f(x) = 5 sin(x) such that F = 3. F(x) Now, find a…

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Q: The angle of elevation of the sun is decreasing atrad/h. How fast is the shadow cast by a tree 10 m…

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Q: 2. Determine the area above f(x) = 3x² + 6x - 9 and below the x-axis.

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Q: The demand function for a firm's product is given by q = 18(3p, 2p)¹/3, where • q = monthly demand…

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Q: A poster of area 6000 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

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Q: PART I. Calculating First Order Partial Derivatives 1. f(x, y) = 2x² - 3y - 4 3. f(x, y) = (x² -…

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Q: th which of the following is a Maclaurin series of ) _5. Given the Maclaurin series e* = Σn=0. pr…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use Taylor's Theorem to find an interval [ — z, z] where the Maclaurin polynomial p2(x) - = 1 1…

A: The given function is fx=cosx and Maclaurin polynomial p2x=1-x22. The Taylor's Theorem states:  If…

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: Consider the function f(x) = 4sin(pi/3(x-2) + 8  what is the maximum and minimum y values and their…

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

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Q: 1. [(5x (5x - 3)100 dx 2. (x - 3)¹/4 dx 5 3. 3. / ( x ² + ² ) ( ²2 2²³ + x) ² da 2) dx

A: 1) Given ∫5x-3100 dx Substitute   u=5x-3                  du=5 dx    ⇒ dx=du5 ∫5x-3100 dx = 15∫u100…

Q: Determine the exact value of the following trigonometric functions given that cos (0) radians lies…

A: Given  cosθ=-96104  .............(1)θ is in radian and lies in the 3rd quadrant.

Q: Find the first derivative of y = (e³x)(3x² – 7)

A: This question is related to differentiation, We will solve it using given information.