f(x csc² 2x - x cos x cos 2x)dx

Q: y" + 3y = 18x², y(0) = -3, y(0) = 0

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Q: Evaluate sec(log x) -dx x In | sec(log x) + tan(log x) | +C 1 log e In | sec(log x) + tan(log x) |…

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Q: Find the point at which the line x(t) y(t) z(t) - 5+ 5t -6-8t intersects the z plane. - 7+8t

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Q: 52.416 X 0.73 157248 +C

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Q: Determine the value(s) of k for which the following planes will intersect in a lin x+y+z=0 2x + 3y -…

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Q: If f(x) cos-¹(2x+5), then dom(f) = = x+3 (A) (-3,-2) (B) [-3, -2] C)(-3,-21

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Q: Find the area of the surface. The part of the sphere x2 + y2 + z² = 36 that lies above the plane z =…

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Q: What is the derivative of y = log, sec(e²x) Dxy = 2 e² tan (²) Dxy = 2 (log, e) e²x sec(e) tan(e) D,…

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Q: If f is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² – 11) = x→2 True False

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Q: 1.If f(x,y) cos(4x-2y)+ln(y² -2x) find £xy fx fxy,

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Q: f is continuous on (a, b) then there is a number c in (a, b) such that f(c) is an abso inimum value…

A: Topic:- calculus    Definition :-  Extreme Value Theorem   If a function f(x) is continuous on a…

Q: If f'(x) = g'(x) for 0 < x < 1 then f(x) = g(x) for 0 < x True False

A: Topic:-  application of derivatives

Q: Find the orthogonal trajectories of x = C exp (-y²). Oy=C*exp(-x) Oy=C*exp(2x) Oy=C*exp(-x^2)…

A: Given problem:- Find the orthogonal trajectories of x = C exp (-y²).

Q: Let a, be such that asb. Prove that tx Eqt ax cbx

A: Concept: We have a,b∈Q means that a, and b belongs to the rational numbers and a&lt;b means that a…

Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

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Q: Find an equation for the hyperbola described. Graph the equation by hand. Foci at (-25,0) and…

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Q: (e) If f and g are differentiable then, d 1 f(g(x)) = f'(g(x))g'(x) dx True False

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Q: y = In(x-2) ex+1

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Q: dy For the following composite function, find an inner function u = g(x) and an outer function y = f…

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Q: ) a) Find the point at which the given lines intersect: b) Find an equation of the plane that…

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Q: ng the problem) an interval in which the solution of the given initial value proble (t-4)y' + (Int)y…

A: We have to find the interval of t

Q: bn gn-4+5 10n

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Q: Let ā 47- 57 and b - 27 + 3j + 4k. Find - 2ā - 36.

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Q: x(t) = 4+ t Find a plane through the point (-1,5,-3) and orthogonal to the line y(t) = 3 - 6t z(t) =…

A: This question can be solved using the concept of lines and planes.

Q: CD is a parallelogram with vertices A(0, 2, -3), B(2, -1, 4) and C(-3, 1, 2). Find the angl een the…

A: Follow the procedure given below.

Q: Suppose I want to make a simple garden with 3 plots (pictured below) out of wood. y If I have a…

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Q: Q4) If the power series method was used to solve the following ODE. (x-0.5)y"-y' + (x² - 1) y=0, x=…

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Q: Hả+b+c = 0, show that ả x b = b xả = xã

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Q: Question 4 (a) Solve the following: 4x¹dx (b) Explain with the aid of a sketch how this value can be…

A: we have to find the value of integral ∫-22 4x4  dx

Q: Find an antiderivative F(x) of the function f(x) = = F(x) Now, find a different antiderivative G(x)…

A: Given the function f(x)=-4x-5

Q: (x + 1, x 0 Can also be displayed as: x + 1 when x 0 f(x) = Is f(x) continuous at x = 0? Why or why…

A: We have to find the solution of continuity

Q: an+1 Use the ratio to determine if the an +∞ n sequence {zn is strictly 2n + 5Jn=1 increasing or…

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Q: Solve step by step in digital fe 6x - 1 a) lím x→ 1/ 2x - 6 b) lím X-00 x² - 9

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Q: Let r be the reciprocal of n. Find the instantaneous rate of change of r wrt n and relative rate of…

A: According of Bartleby answering guidelines we can answer one question only at a time, therefore I…

Q: Q9) The linear form of nonlinear ODE y' - 2y = 2y, is: b) u' - 6u = -6 a) u' + 6u =-6 c) u' - 6u = 6…

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Q: Use the transformation to graph the given function. Show all of the transformations on the same…

A: We have to translate the graph

Q: An airplane is heading north with a constant velocity of 450 km/h. The plane encounters a west wind…

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Q: Determine whether the given function is even, odd, or neither. f(x)= x³ +sin 2x

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Q: Express the repeating decimal as a fraction. 0.789626262626... 0.789626262626... =

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Q: 1. The volume of a sphere is given by V = πr³, where V is the volume and r is the radius. If a…

A: Concept: Sphere volume: The volume of a sphere is the amount of space that a spherical can occupy.…

Q: Find the limit or show that it does not exist. √x+3x² lim 818 4x - 1

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Q: Q19) The general solution of 2x2y" + 3xy' - 15y = 0, is: a) y(x) = ₂x² + ₂x³ b) y(x) = C₁x + c₂x-3…

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Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: 3. A 72 N force acting in the direction of vector (2, -1, -2) moves an object from P(3, 4, 2) to…

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Q: Evaluate using Partial Fraction Decomposition: (- 2. -dx

A: Use partial fraction to evaluate the integral

Q: Which of the following statements is true? All functions that are continuous everywhere are…

A: This question is related to Functions, we will solve it using given information.

Q: Exercises A write the 1st 4 terms 1. >. र 2641 0:4 [(-₁)^(²) 2. 2. I

A: Given that infinite series is

Q: Determine the equation of the tangent line to the function y = 2 + xe³x + x when x is equal to 0.

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Q: 121 [[fx’y* (r’y – xyz – yz dxdyda - 01-1 3. Evaluate the integral t

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Q: 9. Find f(x) and g(x) so the function can be expressed as y = f(g(x)). 8 y = +4 2 X

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