Find curl (9z i+ 10xj+ 2y k). curl (9z i+ 10x j + 2y k) = ( i Di + ( i j+ ( i )k

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A: Solution: y = -x2 +2x +1 y =-x+1

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Q: (b) What are the singular points, if any, of each of the following ordinary differential equations?…

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A: Given query is to find the increased in cost.

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A: This question can be solved using the concept of absolute maxima and absolute minima.

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A: Given, Cost function, C(x) = 120x + 10000/x - 2000 Price Dand function, p(x) = 1000 - 2000/x2 + 200x

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A: Given,            y=4x+1+2xTo find : a The equation of the tangent line at x=2.                b The…

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Q: Find the area of the region bounded by the graphs of f(r) =-r² + 2x+5 and g(z) = 121|- %3D

A: Area bounded by the curves :  If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: Find curl(2: i + 3x j + 6y k). curl(2: i + 3x j + 6y k) = ( )i + ( j + ( )k

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Q: Determine the equation of the midline of the following graph. 5 3 2 -61 -37 6A 121 -1 -2 -3 -4 -5 4.…

A: see below the answer and explanation

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Q: f(x) = 2 – 5x², - 5< x < 1.

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Q: Solve the following differential equations of >(3x² – 6.xy)dx +(-3x – 2y)dy = 0

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 2…

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Q: a) Use the definition of mathcal L \ *\ to determine mathcal L \ te^ -2t \

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Q: S(-5-2)² +1 if a # Let f(r) = 3x +19 if a = - 6 %3D Calculate the following limits. Enter "DNE" if…

A: We have to find the limit

Q: Suppose that f(z, y) = z² – zy + y² – 5z + 5y with z² + y² < 25. 1. Absolute minimum of f(x, y) is…

A: Solve the following

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Q: y6 16 (1). Consider z as a function of the variables x, y which is defined by z = ln(x®y) + and let…

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Q: valuate the indefinite integral. 7 dt (t + 1)?

A: Given query is to eveluate the integral.

Q: Use the Derivative of the Inverse Theorem to calculate g'(x), where g is the inverse of f. f(x) x +…

A: Topic:- function and it's inverse function

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Q: Find the area enclosed by the given curves. Find the area between the curves y = In x and y = In 3x…

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Q: Put them in order please  x^2- 22x+121+y^2-32y+256=1

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Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

Q: Answer each question appropriately. f(x) dx = 9. Find -2 f(x) dx , if f is odd. Suppose that

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Q: Find the inverse Laplace transform: 1 L-1 Is(s? + 1))

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Q: 5x? + 8x + 3. If Aæ 0.3 at x = 5, use linear approximation to estimate Ay Let y Ay =

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Q: F. dr. Evaluate Jc F(x, y) = xi + yj C: r(t) = (3t + 8)i + tj, 0 sts1

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Q: If f(x) = V4x + 1 find f"(2). O 4/27 O 213 None of these O 2/3

A: Topic:- Derivatives

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Q: Save & Exit Certify Lesson: 6.4 Area (with Applications) DSHUN EDWARDS 4/9 Question 6 of 9, Step 1…

A: Given query is to find the increased in population.