Some type of phenomenon occurs at x=0 for the function f(x)=cos x-x^2 sinx, f(0) is a(n) A. maximum B. minimum C. inflection D. undefined

Q: (1) [. | Solve the initial-value problem y" – 5y + 6y = 0, y(0) = -3 and y (0) = 2 %3D %3D %3D

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Q: For which values of t is the curve concave upward? x=cos(2t) y=cos(t)

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Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Solving

Q: Verify Green's Theorem by evaluating both integrals v dx + x* dy = // aN ƏM dA ду əx for the given…

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Q: | (2x – y) dx + (x + 3y) dy. Evaluate C: arc on y = x3/2 from (0, 0) to (4, 8)

A: To evaluate the given integral.

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A: We have to find the foci of the given hyperbola.

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. %3D (a) Find…

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Q: 2. A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and…

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Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i+11 sin(t)j + tk; t= T N || ミ|N ミ|N

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Q: Evaluate the upper and lower sums for f(x) = 2 + sin(x), OsxSA, with n = 2, 4, and 8. Illustrate…

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Q: Verify Green's Theorem by evaluating both integrals an aM dA y² dx + x² dy = |/ əx ду for the given…

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Q: 10 The conic whose equation is x 2 + y 2 = 36 is a point-circle a circle an ellipse

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Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 48 in. and the…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1' lim t→+∞\ 9t² + 10't (?, ?)

A: We can solve this as follows:

Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

Q: Determine the value of 4A+10B if 8x2 + 18x + 6 A Cx + B (x – 1)(x+1)2 x - 1 (æ +1)2

A: Simplify and take the suitable value of x such that A , B & C can be calculated easily.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: given  r(t) = cos(πt) i - ln(t) j + √(t-4)k ; t0 = 5  Have to find domain of r(t) and valu of r(5).

Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: The first three terms of a sequence are given by 5x + 8, -2r+ 1, x-4 (a) When x 11, show that the…

A: To find out the terms of the geometric sequence.

Q: Solve the following Initial Value Problem using Laplace transform: y" – 9y' + 8y = e-8t ; y(0) = 1,…

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Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m? – 24m – 16 = 0…

A: Given differential equations y''-24y'-16y=0

Q: answer 29 and 30

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Q: If f(x) = x² m2. find f'(2).

A: We will use simple differentiation rules to solve these questions.

Q: Question 7 A cable of length L is cut into 2 pieces. One piece of the cable is used to form a square…

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Q: V

A: Follow the procedure given below.

Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

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Q: Ans: -+ cosx c 1. y' +y2 sin x = 0

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Q: 1. [(20x + 30)(x² + 3x – 5)° dx 2. S 5(x – 4)(Vx² – 8x) dx - 3. S 3x-4(2+ 4x-3)-7 dx

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Q: Determine the derivative of each function using the limit definition. 1. y= 2 - 7x 2. f(x)= 4 -5x…

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Q: Use Ay f '(x)Ax to find a decimal approximation of the radical e V10 What is the value found using…

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Q: Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1) You…

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Q: Determine whether the result of the given integral is true or false 5600 TT. 3 6 I| 8rz dz drde = 3.…

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Q: Question 2 Find the intervals of concavity of the function g(x)= 3x4 – x3

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Q: . Let f(x) = x'6/3 – 19x337. Determine the largest n for which f € C" (n-times continuously…

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Q: Solve the boundary value problem y" – 10y' + 25 y = 0, y(0) = 3, y(2) = -2. %3D %3D

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Q: Provide a step-by-step solution to the following differential equation (linear equation) (2x+3)y' =…

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Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. (A)…

A: To find the area of the region enclosed by the two curves.

Q: J 2 sec sec x tan tan x dx

A: Let's find.

Q: if it was 2K+Y た44eV 4メ=24-3VFlay) = 2f ty ア-2X find の2F うu

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the laplace…

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Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

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Q: A man decides which load plan is the best choice if he has an average of 1000.75 min of call in 30…

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Q: N(t) at the given point. cos(t)i+ 6 sin(t)j+ tk; t = 2

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Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: Given :y=x2,  y=3x+8To find : The area of zone bounded by curves.

Q: For Item # 1- 2: The IOM company describes the cost C in pesos of producing x units by the function,…

A: Given cost function.

Q: A small hula-hoop was rolled on the ground.  After rolling exactly 6 times, it went 37.7 feet.…

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Q: What percentage of bookcases in the example are large? Large constitute: ______ %

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Q: n(x) = csc²(;2) Select the correct response: 1 1 CSC + cot(5) - 1 sec"(5e) tan(-e) csc²(-x) cot(r) 2…

A: We have to find the derivative of the above equation.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(6,…

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