-4 -2 ora y 8 6 4 2 -2 f(x) = |x| 2 4

Q: 3 -6 -4 사업 4 2 -2 19 6 ly 2 4 6 8

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Q: Find curl(5zi + 6xj + 3yk). curl (5zi + 6xj + 3yk) = (i )k )i + ( i )j + (i

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Q: Evaluate if possible 1 [₁²x5+¹ dx -2 x3 ….…..

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Q: Evaluate if possible a) 2 ∞ Σα η=4 n2+4n+3

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Q: Find an explicit solution of the given initial-value problem. dx - = 7(x²+1), x(77) = 1 - dt x = tan…

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Q: Question 2 Answer the following True or False: If lim f(x) = 0 then f(x) is continuous at x = 7. x-7…

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Q: Find r(t) if r'(t) = 6t³¡ + 7tºj + √tk and r(1) = i + j.

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Q: Use the given graphs of the function f (left, in blue) and g (right, in red) to find the following…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others parts…

Q: Find the general solution of the differential equation. (Enter your solution as an equation.) dy 8x…

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Q: Question 8 of 25 > Find the derivative of the function f. 3 √x f(x) = O At

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Q: prove that the function f(x) = e¯* sin(x) satisfies the е differential equation ƒ (x) + ƒ'(x) = e¯ª…

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Q: Find the absolute maximum and minimum of f(x,y)=4x+3y within the domain x^2+y^2≤16 Please show your…

A: Concept: Absolute maxima of a function refers to its highest point within its whole domain, whereas…

Q: (Question #1, 2, 3, 4, f(x)=x²e* f(x)=et' inx f(x) = ln(4x³ + x) f(x)=In√√5x-7 1. 2. 3. 4. ror the…

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

A: We need to find Laplace transform.

Q: (Question #1, 2, 3, 4, f(x)=x²e* f(x) = et'nx f(x) = ln(4x³ + x) 1. 2. 3. ror the following…

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Q: Use the function f and the given real number a to find (f ¹)'(a). (Hint: See Example 5. If an answer…

A: Given problem:- Use the function f and the given real number a to find (f-1)'(a).  f(x) = x3 -5, a =…

Q: 13. DETAILS ZILLDIFFEQMODAP11 4.2.001. The indicated function y(x) is a solution of the given…

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Q: Show that the line y = -10x + 20 is tangent to the curve y = x4 – 4x^3 – 5x^2 + 26x – 16.

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Q: handwritten

A: Please refer to the image below

Q: Prove that: V² (64) = $V²y +2V¢• Vy+yV² ¢

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Q: 4. Which of the following is the vector projection of (1,0, 1) onto (-2, 4, 0)? 2 B. (-1,2,0) c.…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

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Q: Imagine that you work as a designer in a company that designs baby bottles. Your mission is to…

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Q: Find the general solution of the given differential equation. dy 2 +6y=3 dx x(x) = 2 Give the…

A: To find the general solution of the given differential equation.2dydx+6y=3To give the largest…

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Find f"(x) for the function. f(x)=(7x^2-2)^6

A: Find f"(x) for the function. f(x)=(7x2-2)6  Derivative of y= (ax2 +b)n  y'= n(ax2 +b)n-1.(2ax)  And…

Q: -8 -6 -4 -2 8 19 41 2 2 4 19 2 4 6

A: Given Graph:-

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: solving

A: Please refer to the image below

Q: Find the critical point of the function. Then use the second derivative test to classify the nature…

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Q: Find the unit tangent vector T(t). 16 r(t) = t²i+tj+k, P(16,4, 16/3) T(4)= Find a set of parametric…

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Q: Find the derivative of the function f. 3 √√x If your answer has a radical, express it as a rational…

A: solution:-f(x)=3xf'(x)=ddx3x        =3ddxx-1/2        =3-12x-12-1        =-32x-32         =-32x32…

Q: Prove Vf(r) f'(r)r r

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Q: units

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Q: The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial…

A: Please see the below picture for detailed solution.

Q: Find the general solution of the given second-order differential equation. 6y"+y' = 0

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Q: 5. Matiu is a talented furniture maker and has decided to build a bike frame out of wood. He likes…

A: Given: the two triangle connected to each other as shown in the question.

Q: O For what value of the constant e is the function continuous on (-0, ∞) 8e-5 0e-4 Oe=1

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Q: Question 17 A particle moves in a straight line and has acceleration given by a(f) - 2einf+3coef.…

A: Topic = Integration

Q: Find dy/dx: 1 II 22²+(²+1)¹

A: Important Formulae:1)ddx(xn)=n xn-12)ddx(1x)=-1x2

Q: 7. Matrix A is said to be involutory if A² = I. Prove that a square matrix A is both orthogonal and…

A: In this question we have to prove that a square matrix A is both orthogonal and involuntary.

Q: Find curl (62 i + 7x j + Sy k). curl (62 i +7x j + 5y k) = (i k )i + (i )j + (

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Q: Find all points of inflection and discuss the concavity of f(x) = x^2 *(3x - 5)^1/3

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

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Q: [ 8®in}x sin 3 xdx (Ans: 3/8 sin²x In 8 + C) Hint: Use 2 sin cos 0 = sin 20

A: To evaluate the integral

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Q: Find the indefinite integral. S Step 1 / sin sin³ 70 √ cos 70 de To solve the integral Therefore,…

A: Solution

Q: sin 2xdx 2+cosx

A: Our Aim is to evaluate the given indefinite integral using U-Substitution.∫sin (2x)2+cos (x)dx-(i)

Q: Find T(t) and N(t) at the given point. t x = e¹ cost, y = e¹ sint, et sint, z = zet; t = 0 T(0) N(0)…

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