y = In (csc 2)

Q: Consider f(x) = (5x + 11)2022, find: i. f'(x) ii. f"(x) iii. f''(x) iv. fiv (x) v. f°(x)

A: Given, f(x)=5x+112022

Q: |i cos t?dt can best be evaluated by: A Trigonometric Transformation B) None C Integration by Parts…

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Q: Find the cost function if the marginal cost function is given by C'(x) = x3 +4 and 27 units cost…

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Q: 3 Evaluate the following indefinite integral: 1.) f 10ma dx

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Q: Current Attempt in Progress Use Green's Theorem to evaluate the integral. Assume that the curve Cis…

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Q: Find div F and curl F if F(x,y, z) = x2°i+ 4y°x²j+ 2z²yk. div F=|2° + 12 y? x² + 4 z y curl F= 2 z2…

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Q: Is the mathematical statement correct. If f(x)=f(-x), then f’(x)=f’(-x). Explain why

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Q: Find V· (V × F) if F(x, y, z) = 4 sin ci + 7 cos(9x – 10y)j + 10zk. V · (V × F) =

A: Given F(x,y,z)=4sinx i+7cos(9x-10y) j+10z kTo find∇·(∇×F) first we need to find ∇×Fwe know that ∇×F…

Q: Find all the first and second partial derivatives of the function f(r, y) = x°y – 3y“. %3D

A: Given :f(x,y)=x2y-3y4To find : All the first and second partial derivatives of the function

Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify as possible:…

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds tot = 0. Q…

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Q: Find sin 0. 4 e in quadrant IV cot 0 = sin 0 = (Simplify your answer, including any radicals. Use…

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Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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Q: The point P(4, 24) lies on the curve y = z + x +4. If Q is the point (x, x² + x + 4), find the slope…

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Q: Show clear and clean solutions. 1. By definition, find the derivative of a.y = %3D x+4 b. y = 4x2 –…

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Q: [x+1

A: The objective of the question is evaluate the indefinite integral.     Note -  As per our guidelines…

Q: Find div F and curl F if F(x, y, z) = 12y"2³i – 3x"z+j – 4xy°k. div F= curl F=

A: A detailed solution is given below

Q: Express py? dA as an iterated integral in the order dydr, where R is the region in the ry-plane…

A: Integral

Q: Question 5 Determine the derivative of the given function: y = 5-2 Oy = 5"-2 (In 5)(x - 2) Oy = 5-2…

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Q: xe - ye" = In(xy). Find dy/dx.

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Q: If f(x) = [ V19+ t² dt , find f'(3)

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Q: Find V (V x F), if F(r, y, z) = 7e""i + 2xe"j- 3e""k.

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Q: 5. By Chain Rule , evaluate b. y' for y = u² + 2u and u = x² + 2 %3D

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: Solve the separable differential equation dy 0.7y, and find the particular solution satisfying the…

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Q: / (3V-1)dt is 3- 1 by the 2nd fundamental theorem of Calculus. The derivative with respect to x of 3…

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Q: Find dy/dx. x = Vt y = 9-t dy dx

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Q: y = 9 - t

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Q: dr Vr +3 5.

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Q: Find the first derivative of the function below: f(x) = arctan(sec(x ))

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Q: Describe the graph of the equation. r = 12 sin 6t i – 12 cos 6t j O Itis a circle of radius 6 in the…

A: To find: Discribe the graph of the equation

Q: Find the Maclaurin series for f(r) using the definition of a Maclaurin series. [Assume that has a…

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Q: Credited Critical Thinking Problems 1. (Section 8.1) (10 points) In surveying, it is often necessary…

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Q: is an improper integrat. dr A True B False

A: To check : The statement "∫-121x2dx is an improper integral." is True or False ?

Q: Find the integral. 4 9) x4 In 2x dx A) 391.74 B) -202

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Q: Question 3 dy Given the following function, determine do sec 0 You may use Insert -> Equation to…

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Q: In +1- 2 dt, if we let V Vt+1-2, then dt is equal to t+1– 2, then dt is equal to A) None 4x³dx ©…

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Q: Find curl (7z i + 8x j+4y k).

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Q: dx 1

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Q: ermine the Interval(s) for which the function is (a) increasing, (b) decreasing, and (c) constant.…

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Q: A spring with a natural length of 10 cm, is stretched by ½ cm by a 12 N force. Find the work done in…

A: Given query is to find the work done .

Q: The partial derivative of f(x, y) = e"y – 2x – 4y + 3 with respect to x is O ye"V – 2 af af ery + y…

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Q: The derivative with respect to x of | (3Vi-1) dr is 3x – 1 by the 2nd fundamental theorem of…

A: Given that,         ∫3x3t-1dt

Q: If f(x) cos-(2x+5) 2, then dom(f) = %3D a+3 (A) (–3, –2) (B) [-3, –2] (С) (-3, —2] (D) (–1,1) (E)…

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Q: ydy can best be evaluated by algebraic substitution. Vy-1 A True В False B

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Q: Use Green's Theorem to evaluate the line integral |(y - x)dx + (2x – y)dy for the given path. C: x =…

A: Let's find.

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 4 cos(t)i+5 sin(t)j+ 6tk;…

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Q: dx Solve the separable differential equation dt and find the particular solution satisfying the…

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Q: Use the graph of the function f to find the limits at the indicated valu 4+ 3. y=f(x) 2 1 2 3 4 566…

A: Given query is to find indicated limit.

Q: 21 3x7 + 8x 5x

A: Given: y=3x7+8x5-215x