12. 14. Ss sir 1

Q: Find and classify the critical points of z = (x² − 4x) (y² – 8y). Local maximums: Local minimums:…

A: Given function:- z=x2-4xy2-8y

Q: A ball is thrown vertically up from the ground. If the positive direction is upward, then h = -16t²…

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Q: 32. √ ₁²+2x-3d²

A: Given integral I=∫xx2+2x-3 dx

Q: Given f(x, y) = 4e¹² sin(2y) then ▼ f(0, π) =

A: The objective is to find the gradient of the functionat the given point.

Q: 106 106 suppose that Σ ai = -24 and Σ bi = -13. Compute the sum. i=1 i=1 106 Σ( – 21a; + 6b;) i=1…

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Q: Determine two coterminal angles tive and one negative) for 2 a) += π 8 1. +- and انت انت -4-2 T and…

A: To determine two coterminal angles one positive and one negative for the following angle.+23π

Q: Convert the angle - 3pi/20 from radians to degrees

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Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…

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Q: Use Cramer's rule to give the solution set to the system of equations 9x+4y=2z=1 5x+2y-z=-1…

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Q: Q 2.3 find a particular using the method a symbolic function of x. humbers. differential equation…

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Q: lim x² Inx x⇒0+

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Q: -5 -4 3 3 2 - (1. 4.). M² - (2, ²).M - (1) M-C = , M3 -4 2-4 -3 -2 -1 Given Matrices:M₁ = and…

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Q: What is the equation of the tangent line to the curve y=In(x++1) at x = 1 ?

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Q: Evaluate the definite integral. Southe 11T 2 9 sin(x) dx =

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Q: d the polar coordinates if (x, y) = (-√3, 1), r≥ 0, -2π < E

A: Given query is to find the polar coordinates.

Q: Convert the angle degrees. 4T —— 5 from radians to

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Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.)  log(4x + 3)…

A: Use the basic property of log function.

Q: I 3.) solve the given variable separable DE V P dv dp

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Q: Given the function below ✓-45x³ + 72 Find the equation of the tangent line to the graph of the…

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Q: (D² -3D +2)y= (1+ex)-¹

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Q: Find the derivative of f (y) 155/7 In(y)

A: The function is  f(y)=15y5lny

Q: Find an equation of the line tangent to the graph of ​G(x)=3e−2x at the point ​(0,3​).   y=

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Q: x+y=z=4 Solve the system of linear equations using Gaussian matrix x=y+z=2 (2x-y-z = -3

A: Given:

Q: The region enclosed by the functions y = √x & y = form the base of a solid figure. The cross…

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Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 6a³ + 45x² + 108. g'(x) =…

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Q: Sketch the graph of the function and determine whether it has any absolute extreme value on its…

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Q: a. C. 7m-28 m²-3m-4 7 2x²-x-1 || 5 x-1 b. d. 16x²y³ 3 1 3a+18 ÷ 4xy 15x² 1 8 a+6

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Q: 2 كل ك 0.5 , 3- = (f(x رشد -

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Q: Solve the equation. (Enter your answers as a comma-separated list. Round your answers to three…

A: Given query is to find the value of t

Q: Find an equation of the tangent line to the curve y=x√x that is parallel to the line y = 3 + 3x. y =

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Q: Let f(x) = 1+x+x² + x³. Then the derivative is Thus, f is monotone on R because O A. f'>0 O B. f' <…

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Q: ntegral Calculus - Plane Area 1. Find the area in the first quadrant enclosed by y = (x2 + 4)/x2, x…

A: Topic = Area

Q: If y = (3x+8)x, compute y'(1). y'(1) = X

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The Product rule:…

Q: The volume of a cylinder of height 10 inches and radius 7 inches is given by the formula V = 10mr².…

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Q: 2. Find the radian measure of the angle given in degrees, and draw the angle in standard position.…

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Q: d) MsU₁= Rows: 1 Columns: 1

A: GivenM5=-5-3-3-31-5-4-2 and v1→=-20We are required to find M5v1→

Q: Given f is a differentiable function such that f(4) = 2 and f'(4) = -3. If g(x) = 2x3 * f(x), find…

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: Let F = (9x – 2zx²,4z – xy, 7z²x²). Calculate div (F) and curl (F) . (Use symbolic notation and…

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Q: Find the interval of convergence of the power series, where c> 0. (Be sure to include a check for…

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Q: Use a trigonometric identity to evaluate the integral. [tan²(x) dx = +C

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Q: Use l'Hopital's rule to find the limit. 7-7cos@ lim 0-0 sin 50 O 07/3 75 8 Previous

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Q: 2xy³ + y² + (xy³-2y)y' = 0

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Q: Find the orthogonal trajectories of the family of curves. y² = kx³ Graph several members of each…

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Q: Solve the differential equation. dz dt + 4e + ² = 0

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Q: Normalise these vectors to have length 1. 4 10 4 6 ab becomes sin (a) becomes sin (a) Ә əx ə əx ⠀ 8…

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Q: Determine whether the series converges or diverges by comparing it to a p-series. ∞ ln  1 +  18 n…

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Q: Which of the following infinite series con- verges conditionally? 8 4 1. Σ (-1)* 8k ln(k) + 6 k=1 2.…

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Q: standing 27 from casts an 8-foot shadow. A 6-foot person a street light casts 6 ft 27 ft 8 ft is the…

A: this is the question of application of trigonometry and geometry here triangle formed and we have to…

Q: 1. In all parts of this problem you will be evaluating the definite integral ſ² f(x) dx where f(x)…

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