Determine f " (x) a. f(x) = cot (4x) + csc (x) b. f(x) = sin2 (x) tan(x)

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

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Q: The exponent in the exponential form is the value of the logarithm. (A) True B) False

A: Topic:- algebra

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A: Answer :-  We have to find the critical point of y = xe-x

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Q: The general solution of y" - y = x²ex + 5

A: To find the general solution of y''-y=x2ex+5.

Q: 25 f(x)=x²-3x x³ + 20x + 1; 1 = (-3,2)

A: As per the company's guidelines , we are supposed to answer only first question. Kindly re

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: Find out the maximum point.

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Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given:           ∫252x2-3xdx

Q: Stan5 xsec³x dx Osecx+secx+sec³r+C Osecx-secr+sec³r+C sec' x-secr+sec³r+C O None of the choices…

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Q: 5. Ssin' x dx.

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

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Application of integration

Q: Find the Jacobian ə(x,y,z) / ə(u,v,w) of the transformations below. a. x=3u cos v, y=5u sin v, z=7w…

A: We want to find Jacobian.

Q: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

A: Given curves y=x^2 and x=y^2

Q: f(x) = 27x² + 3x5 - 24x³ + √2x f(x) = + √2x 3 x x5

A: Find the general anti-derivative F(x) + C for the following problem:

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

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Q: 4. Given z = x-y x+y Find əz/ax 4

A: z=x-yx+y differentiate partially with respect to x

Q: Q.1/a) Solve the following integration by parts integral method fre x³ ex²+1dx 2+1dx

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim x3+4x+3…

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Q: A thermometer reading is 60oF at 3:00AM and a Civil Engineering student takes it outside where the…

A: Given: At 3:00 AM, thermometer reading = 60°F The outside air temperature = 20°F At 3:10 AM,…

Q: 1. For the cross product between vectors a=[h, -1, 8] and b=[k, 5, 7] to be axb= [-47, -5, 17], what…

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Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

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Q: The Intermediate Value Theorem can be used to prove that the equation z² - 5x+6=0 has at least one…

A: Given :x2-5x+6=0

Q: 1. 2. dx dx sin²(x² + 2x + 1) [4 tan(3x³) - 5 csc x]

A: To find derivatives

Q: 2e^xdx-3e^ydy=0   Find y(x) and f(x,y)

A: Follow the procedure given below.

Q: y" + y = sec x tan x

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Q: 5- prove that - for sin Ꮎ dᎾ cose Ꮎ dᎾ

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Q: a²z 7.Find of z = 2x³-5xy² xy

A: Given double differentiation. First we find the partial derivative of z w.r.t y. Then we find the…

Q: 6.0 4 -4x x5e хе dx

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

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: 2. Two vectors, and b are placed tail to tail and have magnitudes of 2 and 5 respectively. There is…

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Q: Approximate 141/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

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Q: Given ~ √x³ √4-x² dx. Ⓒ-² (4-2²) dz Ⓒ√2 (4-2) 1/² d Ⓒ/(x++4+²) dz Ⓒ -√2² (4-2²) ³/2 dz dx. If we let…

A: topic- indefinite integral

Q: Two numbers whose product is 1 are called opposites. صواب خطأ

A: Opposite of a number is just negative of that.If x is number then -x is its opposite number not 1x.…

Q: what is Γ(1/2) ? show solution. prove that it is equal to -1/2!

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Q: Find the interval of convergence for the given power series. Use interval notation, with exact…

A: We have to find the interval of convergence.

Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find a)  The intervals on which f is increasing. b)…

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Q: 2. The Minimum point of y= 320

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Q: Solve the following problems. Enclose final answer. II. 7.Find of z = 2x35xy? ㅋ

A: Let's find partial derivative of given function.  Small mistake given in question there were dxdy…

Q: flog(x) dx

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Q: (3x² + 5x-2) dx

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Q: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

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Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: As per the company's guidelines, we are supposed to answer only first question. Kindly repost the…

Q: II. Solve the following problems. Enclose final answer. 1. The Maximum point of y = (x²+2x+10) (x-3)

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Q: II. Solve the following problems. Enclose final answer. 7.Find of z = 2x³ - 5xy² xy

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Q: Find the gradient of f(x,y,z) = (x² + y² +z²) ¯ - 1/2 Vf(-21.-2)=(1+Dj+k (Type integers or…

A: topic - gradient of a function

Q: (a) The total surface area of an open cylinder is 27 cm³ given that radius, rcm. i. Show that the…

A: Given that; Total surface area of am open cylinder is 27pi cm^3. Radius r cm.