Solve the following limits by algebraic method and by the corresponding theorems √9x +4-2 a) lim 3x-2 X-

Q: b) x= 2х-3у 2x+3y

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Q: lim- x-0 X

A: Given :limx→05x

Q: The gradient of the function 2x1 + x2 - 3 evaluated in x = (0 0 0) is: OA. Vf = (1 2 3)T OB. Vf = (0…

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Q: Express the given quantity in the form a + ib. sin(-8i)

A: Given.

Q: lim X-4 (x²-3x-4)² X-4

A: We need to evaluate the following limit limx→4x2-3x-42x-4

Q: Consider the initial-value problem y' = y, y(0) = 7. (a) Use Euler's method with each of the…

A: Here you have posted question with multiple question I can solve only first question for you, Please…

Q: axy + z³x - 2yz = 0.

A:

Q: b) Evaluate lim g(x) if 2x − 1 ≤ g(x) ≤ x² − 2x + 3 x→2

A: Above question is solved.

Q: 9. f²-2x(3x - 1) dx

A:

Q: 8. What is the area bounded by the curve y²=4x and x²=4y. A. 6 B. 7.333 C. 6.666 D. 5.333

A: Here we have to find the area bounded by the curves

Q: 16 Let x= 3 Part A: Determine the reference angle of x.. Part B: Find the exact values of sin x, tan…

A: Use Trigonometric properties

Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

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Q: aw Q/Find for wear sin ¹ p əx p= sin x q = z² ln y r = at (x, y, z) = ( 1 Hint: √ √1-x² -sin-¹ x =…

A: Given :w=eqrsin-1pp=sinxq=z2lnyr=-xz2

Q: Let f(x) = 4x + 4 and g(x) = 2x² + 2x. After simplifying, (fog)(x): =

A: To find the value of composition of given two functions.

Q: 4) Determine the derivative. Do not simplify your answer. a) f(x)=2x³-√x+x³ c) ƒ(x)=-4 b)…

A: I am attaching image so that you understand each and every step.

Q: f(x) = -3 sin x [0, 3T]

A:

Q: M 10. Integrate f x² ln x dx Oxln x³ + +C Onx-x³ + C Onx²-x³ + C Onx-x³ + C

A: Integrate ∫x2lnxdx=?

Q: ¹ (x + y) − ln[1 + (x + y)²] = 5³, what is Given Tan¹ - none of the choices 2-2x-2y z-2x + 2y - 1…

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Q: Question 4 a) It costs $1500 plus $5.00 per bottle to produce the lotion. If x represents the number…

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Q: 2- Show that the function U(x,y)= 3x²y-y² + y is Harmonic and then find it's Harmonic conjugate V(x,…

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Q: Given f’’’(x)=e^x with f’’(0)=6, f’(0)=2, then f(x)= ? + C Note that your answer should not contain…

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Q: 9) A store sells portable MP3 players for $100 each and, at this price, sells 120 MP3 players every…

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Q: Which of the following is the domain and range of the ellipse with equation x² + 4y²2 - 2x + 16y-…

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Q: Establish the identity. sec ² (-0)-1 = tan ²0 Which of the following four statements establishes the…

A: See the answer below

Q: Determine the domain and range of the function. 4- 3 2- 1 -4 -3 -2 -1 2 3 Part 1 of 2 -1 -2- -3- 4 4

A: Solve the following

Q: Write an equation of the line that passes through (-5,1) and is parallel to the line defined by…

A: The line passes through -5,1 and parallel to the line defined by 5x+y=2

Q: Find the finite derivative of a the functions below at x=1: a) f(x) = 4x³-3x²+2x-3 3 b) f(x)==-²/ 3…

A: Concept: The derivative can be represented as f'(x) or ddx(f(x)) Derivative of xn: ddx(xn)=nxn-1…

Q: Find the volume of the figure. Round to the arest tenth if necessary 12 in 13 in.

A: Given query is to find the volume of the figure.

Q: Use Figure 1 to evaluate the trigonometric function. B 10 Figure 1 Enter the exact answer. tan B 3

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Q: 16. What is the area between y = 0, y = 3x², x = 0 and x = 2? B. 24

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Q: Find y'. x3 +yở = 8£y

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Q: 13. a) Mister G was going up the stairs and noticed that Kate, whose eyes are 135cm above the…

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Q: Find the value (1) lim (x,y)-(2-3) (3) lim (xy)-(11) √x-√√y of the following limits: x²-2xy + y²…

A: As per the instruction, post the question again for question (5). For (1),    limx, y→2,…

Q: Question 3 In sketching y O (0,0) = In (x-2)² exa None of the choices no intersection (3, 0) O (0,…

A: Given

Q: Which of the following conic sections could be formed when a plane intersects both cones of a double…

A: Given.

Q: Which of the following is the equation of the circle with center C and a point P on the circle, as…

A: Topic = Circle

Q: √x-2 X-4 Evaluate lim X-4 using the following table of values. X f(x) 3.9 0.251582341868501 3.99…

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

Q: Evaluate the limit lim of 02 04 00 of tan(+)-tan() by recognizing it as a derivative of some…

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Q: A science geek brews tea at 195 "F, and observes that the temperature T() of the tea after t minutes…

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Q: Find the particular anti derivative that satisfies the following conditions: dy/dx=3x+5/sqrt3 of x ;…

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Q: help me solve the problem number 10

A: This question can be solved using formula for reducing powers cos A2=1+cos(2A)2

Q: Question (3): Determine the absolute extrema of the function f(x) = x² + 2x - 4 in the interval…

A: Given :f(x)=x2+2x-4   [-1, 2]

Q: Find the surface area of the hemisphere: 6 cr

A: Given that hemisphere and the redius of this hemisphere is 6 cm. We find surface area of this…

Q: Evaluate the trigonometric function below from y = 2 up to y = 3. [(y) (csc 3y ((y) (csc 3y²) (cot…

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Q: Which of the sequences converge and which diverge? Find the limits of each convergent sequence. 4-6n…

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Q: 17 Given the triangle answer to 4 decimal places. 43° X find the length of side x using the Law of…

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Q: Consider a spring-mass system with damping y and without any external forces acting on the system. A…

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Q: Use the Chain rule to find ().(). For the following functions: (1) u=xy-¹ where: x = e-2r cos-¹ and…

A: 1. According to question,Given Function,u = xy-1where,x = e-2r cos-1r   and   y = 2rcsc-12r

Q: Question 9 Given f = xy² In (3y + 2x) + (xy)e* (ry), find dy

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Q: 3. Find the derivative of f(x). (a) f(x) = e cos x (b) f(x) = (2x³ 4x-¹) cotx -

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