Solution set?

Q: Find dy if y = tan-¹ (In(4x)). [A] 1 x(1+(In 4x)²) [B] 1 1+(In 4x)² [C] 4 x(1+(In 4x)²) [D] 4 1+(In…

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Q: 1+t² e. y' = tye-t

A: We need to determine D.E. is separable or not.

Q: How many local maxima does the function f(x) = 2x5 - 5x4 - 10x³ + 4 have? A] 4 [B] 3 [C] 0 [D] 2 [E]…

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Q: Let h(x) = f(g(x)). If ƒ(−4) = −3, ƒ' (−4) = −1, g(1) = −4, and g'(1) = 3, find h' (1). Do not…

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Q: Find the smallest nonnegative integer for x such that x = 2 mod 3 x = 3 mod 5 x = 2 mod 7. A

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Q: Consider the following infinite series. Complete parts (a) through (c). 2 13K-1 Σ k=13k a. Find the…

A: Given data, ∑k=1∞32k-1

Q: The second derivative of the function g is given by g" (x) = 0.15 0.29x4-0.694x³ + 1.9136x2. At…

A: To check the inflection point,    It is enough to check whether g"(x) =0 or not.

Q: A frustum shaped bucket is shown as in the reference image. The top radius is 2 ft, the bottom…

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Q: 3. Graph the inequality subject to the nonnegative restrictions. Make sure to # the lines…

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Q: The independent variable x is missing in the given differential equation. Proceed as in this example…

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Q: 10 S3 X (xy+8) + dydx Now try the integral $10 S3 order of integration is important. = X (xy+8)¹…

A: Consider:…

Q: Part C. Find the √√x-5 8). x-15 1 9). +3+ + √x + 10

A: Topic = Function

Q: Let Find the values of y = f(x) = 10x³ + 3x - 3. Y₁ = f¯¹(x)|x=83, Y2 = f¯¹(x)|x=-899 Y3 = f¯¹…

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Q: 11-20 Find dy/dx by implicit differentiation. 11. x² + y² = 100 12. x³ + y³ = 3xy² 13. x²y + 3xy³ -…

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: Find the centroid of the region lying between the graphs of the functions f(x) = ¹ and f(x) = = *CM…

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Q: Rewrite the quadratic function f(x) = x² + 4x − 8 in standard form, f(x) = a(x − h)² + k, and give…

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Q: Suppose the fridge daily cost function produced at Friga's Frigid Fridges is represented by the…

A: GIven Cost function:- Cx=x32000-x250+50x+20,000

Q: Select the correct answer below: 6x² ln x-3x²+3 2 x ln² x 2

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Q: 5. Use Lagrange multipliers to find the extreme values of the f (x, y) = x² + 2y² subject to the…

A: By using Lagrange multipliers to find the extreme values of the function fx, y=x2+2y2 subject to the…

Q: In the equation for the Laplace transform of a periodic function, L {f(t)} = ₁- ²- Sőe¯st f(t) dt,…

A: The Laplace transform of a periodic function:Lft=11-e-sT∫0Te-stft ft

Q: Find the local min, local max, and saddle points of the surfaces z = f(x,y) for the below function:…

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Q: Y Calculate J₂ (₁2) dA JR 1 + x R= [0, 5] x [0, 5]. Answer: dA, where

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Q: . Evaluate the for parametric equations x = 3t² - 6t and dx = 3t³ + 3t with respect to the…

A: Given query is to find the Indicated derivative.

Q: Evaluate the following integral or state that it diverges. dx 17.15 x² +25 1

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Q: √√√x²-4 S 3 x³ X - dx

A: Given integral:- ∫x2-4x3dx

Q: which one of the following is the same as: -cos(-x)tan(-x) a. sinx b. -sinx c. -cotx

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Q: If f(4) = 11, f'is continuous, and f(6) = Submit Answer fºt f'(x) dx = 19, what is the value of…

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Q: Find the linear approximation of the function f (x, y) x² + y² at the point (2,-1, 1)

A: Given function:- fx,y=5x2+y2

Q: Find the values of x, y and z that correspond to the critical point of the function ƒ(x, y) = 2x² +…

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Q: Find the general form of the quadratic function with the vertex (2, 1) and a point on the graph (-2,…

A: The quadratic function has vertex at 2,1 and a point on the graph -2, 17. We have to find the…

Q: Find the domain of the following vector-valued functions. Š(t) = (tant, √4-t², =) 2+t

A: domain of tan t is 'all real numbers';   The domain of tan t is all real numbers except for…

Q: 2x - 4 Find f ' (x) using the definition of the derivative: f ' (x) = lim h>0 f(x+h)-f(x) / h

A: Given query is to find the derivative using definition.

Q: Let g(x) = x(lnx)². Find the open intervals on which g(x) is increasing and decreasing.

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Q: Quantitatively prove the following: If f: R3 → R  has continuous second derivatives, then  ∇ × (∇f)…

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Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

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Q: 2x²-5x-10 (x+2)(x² −4) dx

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Q: Evaluate Set 7x cos (6x) dx. Sex cos (6x) dx =

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Q: if cos A=-0.12 then what is the value of sin(90-A)? the exact value of cot-7pi/6 and sin4pi/3?

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Q: (b) lim (x,y)→(0,0) x² + y² √√x² + y² + 1 − 1

A: Given limit is limx,y→0,0x2+y2x2+y2+1-1 We need to explain why this limit doesn't exist.

Q: H.W: Salve the following equations.... 一乂 3. H .... Je A zAyf. (X² 3y)...........

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Q: Hi can you type out the answer cause the answer is kinda messy

A: We need to write convert the given non linear differential equation into linear differential…

Q: Question 8 Solve the given differential equation (where the function is subject to the given…

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Q: 1. Given [x² +1, 2x, x ≤ 1 x > 1. Is f differentiable at x = 1? Is it continuous at x = 1?. f(x) =

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Q: Use logarithmic differentiation to find the derivative of y = (In(4x))(5x) (where x > 1/4 so that…

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Q: Find the vector needed to translate from point (4,1) to point (8,3). Translate (-1,2) by the same…

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Q: Suppose f(x, y) = √/tan(x) + y and u is the unit vector in the direction of (0,—3). The (a) Vƒ(x, y)…

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Q: me differential equation as a solution y=- nen: = || || I I I -5te4t y"""' + ay"" +by" + cy' + dy +…

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Q: 1+tan^2x/sec^2x-sinxtanx/secx-cos^2x

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Q: 1. dy ax = 3 -2X y-xy³e

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Q: 2 Evaluate the following Integral - Find the partial fraction decompe √x3-3x² dx =

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