The following limit Select one: O O equals 16 3 equals 0. None of them O does not exist. O equals 3 2x² + 2y¹ lim (x,y) (-2,2) 3x2 + 3y²

Q: Find the curvature of the curve defined by the function y=3x^2 - 2x + 4 at the point x=2

A: Curvature is defined as : K(x) = |y"(x)| / {1 + [y'(x)]^2}^(3/2).  Note that :- |y"(x)| means the…

Q: L 2x²³ + 8x doc 3 √x² + 4

A: This question can be solved using the concept of integration by substitution.

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A: Given: The admission fee at an amusement prk is $1.50 for children and $4 for adults.On centrain…

Q: Integrate 3+22 Select one: OA. 7Inlxl + OB. 4inlxl + O C. 31nlxl + O D. 5Inlxl + dz + C + C + C + C

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Q: Evaluate S ○ In O Divergent ○ In 11 O 6 In 11 6 dz 2²-25 16

A: Given problem :- ∫6∞6x2-25dx

Q: f(x, y) = 6√√√x – y²e- - a) b) y²e-3ry + | co y Find f and fy. Evaluate fazy (4,-1).

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Q: dz Evaluate: 5 10+2% 0 1 O Divergent 00 0-1 15

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Q: Use a triple integral to find the volume of the solid bounded by the graphs of the following…

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Q: Find parametric equations for the following curve. Include an interval for the parameter values. 3…

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Q: 1. The two graphs below (X & Y) show two functions from our library of common functions. For each…

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Q: 3x²-2 do 3 2x - 4x

A: Here we will solve the given integral,

Q: Given f(x) (x + 21 -x² 4 x < -1 -1 < x < 2 x ≥ 2 a. Evaluate f(-3) b. Evaluate f(-1) c. Evaluate…

A: We need to find values of function.

Q: Question 11 Find dy/dx of y = log₂ (x log5 x) In a alna ln 2 O y =

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Q: = 2√/16 - x² - y2, then the domain of D = {(x, y) x² + y² ≤ 16}. 2

A: We have to choose the correct option from the given options according to the given information

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Q: Find the determinate by expanding about the 1st row. 1 3-1 223 1-1 0

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Q: Explain (in words) what transformations it takes to transform the function f(x) = x³ into the…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: This question can be solved using the concept of the stated theorem 13.9

Q: Rewrite the expression as an equivalent expression that does not contain powers of trigonometric…

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Q: Use the given information to find the exact value of the trigonometric function.  sin θ = 1/4 , θ…

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Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y(4) +…

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations.…

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Q: z = (x + y)², x = s²t, y = st². Use the Chain rule to find dz for t = 1 and s = 2. ds

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Q: Find the length and width of a rectangle that has an area of A square centimeters and a minimum…

A: We can find the correct answer by checking the individual options as below.

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Q: dy Find using implicit differentiation. dx Hint: First clear the denominator to get 8x² + 6y =…

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Q: Given the function f(x, y)= xye+tan² esec2 y The second derivative fyy of f is equal to 0. Select…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: Here we use formula of sum of n term of geometric series.

Q: The differential equation Find such a solution and then give the related functions requested. dy =…

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Q: If f(x, y) = 2√/16 - x² - y², then the domain of f is the set D = {(x,y)|x² + y² ≤ 16}. Select one:…

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Q: z = (x + y)², x = s²t, y = st². Use the Chain rule to find dz ds for t= 1 and s = 2.

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Q: Use the Comparison Test or the Limit Comparison Test to determine whether the following series…

A: We need to choose correct option.

Q: Solve the initial value problem y(t) = dy dt - y = 3e² + 18e¹t, y(0) = 9

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Q: Evaluate: cot (9) -do None of the choices ɔ+ − ( 7 ) 400 - ( 7 ) 8400 O tan³ () – tan an ( 1 ) - + +…

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Q: 3. fx³ (a²+x²)¹/² dx

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Q: Find the gradient of the function at the given point. Function Point (3, 7, 2) f(x, y, z)=√√√√x² +…

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Q: Part b: (**) We consider the function f(x, y) = x sin y - y cos x + y Find fx(x, y), fxy(x, y), and…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Choose the normal vector of the tangent plane to the surface defined by at the point (-4, 2, e88). O…

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Q: Use synthetic division to show that the number given to the right of the equation is a solution of…

A: Given :

Q: Let f(x, y) = domain of f is the set D = {(x, y)|x² + y² > 1}. Select one: 1 1 - x² - y² True O…

A: Given.

Q: he domain of the fur

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Q: Work Problem 1( Let z=(y-x)³, and as(1 t) and y = st². Use the chain rule to compute da and da da

A: Given problem:- Here  z=(y-x)3  And x=s(1-t), y=st2  find using chain rule zs and zt

Q: 1. Find the gradient of the function f(x, y, z) = ln(xy) - zx² at the point (1, 1,-1).

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Q: nd the general solution to the differential equation ut the problem in standard form. nd the…

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Q: If the given sequence is a geometric sequence, find the common ratio. 4/3, 8/3, 16/3, 32/3, 64,3

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Q: The domain of the function f defined by is equal to: Select one: O True O False 7 cos(x)+y² In…

A: This question is based on logarithmic function.

Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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Q: (c) lim ln(csch ¹x) #+++∞

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Q: What is the integral of f sin² x cos² x dx? cos(z) sin³ (2) cos(z) sin(z) + 4 4 ○ sin(4z)+4z 32 +C…

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Q: The solution was wrong. What is the correct solution?

A: Solve the following