Find the linear approximation to estimate V7.429. Compare this to the true value and determine if your answer is an underestimate of an overestimate.

Q: fu)=Sin(x) aニT R=?

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Q: (3x? + у?)dx — 2хydy %3D 0

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: -32 ft/sec?. Assume that the in n object's downward acceleration is given by y"(t) = elocity is y'…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Find the exact area under the curve between the indicated values of x. 3 ; between x = 1 and x = 3

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Q: Which among the choices is NOT true about the continuity of f(x)? x2 -4x-5 if x + 5 f(x) = 2x–10 3,…

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Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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Q: Without evaluating the constants, the partial fraction decomposition of 7x3 – 11 (4x3 + 7x2 +…

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Q: On what intervals is the function f(x) = continuous? x(x - 1)(x- 2) 1. (-00,0) 2. (0,1) 3. (1,2) 4.…

A: First draw the graph Uasing limits and the check the countinity of this function

Q: 1. The number of arbitrary constants in a particular solution of a fourth order differential…

A: 1. We know that the number of constants in the general solution of a differential equation of order…

Q: The general solution of the differential equation dy/dx 12x is y = 4x + C. Select one: O True O…

A: A separable differential equation can be written is of the form of dydx=f(x)g(y).

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (5t + 9)i + tj, osts1

A: Given

Q: 2. If the acceleration function of a certain particle is given by a(t) = sech () tanh () – ež, find…

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Q: y" + 2y' + 5y = 4e¬t cos 2t, y(0) = 1, y'(0) = 0

A: Given:       y''+2· y'+5· y=4 e-t cos2t      y0 =1   ,    y'0=0

Q: 1- x, x 2 - Which of the following is TRUE? O The function is continuous everywhere. O The function…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t++o \ 5t2 + 6' 5t (0,0)

A: Simplify the component wise

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A: We have to integrate the function to calculate volume

Q: D. 32 В. -32 4. What is f y'(t)dt? A. - 16t2 - 100 t + C 16t2 - 100 t C. – 16t2 + 100 t + C D. -…

A: According to company rule, we can answer only First question and rest can be reposted.

Q: its magnitude and direction angle. 14. ļu| = 8, 0 = 225°

A: Topic:- vector algebra

Q: Which integral corresponds to the area of the shaded region between the curves y = -x? + 3x and y =…

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Q: dx 2. x²V4-x?

A: Just use the trigonometrical substitution to make integral easy and then solved it.

Q: 8 – a? if – 2 2 between O 8 and 16 O O and 8 O 16 and 24 O 16 and 33

A: Given problem:-

Q: Total cost from marginal cost. Shelly's Roadside Fruit has found that the marginal cost of producing…

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Q: Evaluste the line integral using Green's Theorem and check the answer by evaluating it directly.…

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Q: Solve the De as follows via Laplace transformations: y"- (14/3)y" - (55/3)y' + 14y = 0; y(0) = -1,…

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Q: A farmer finds that if she plants 85 trees per acre, each tree will yield 65 bushels of fruit. She…

A: answer is in next step

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A: We need to find volume.

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

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Q: if a 2. Then, lim f(x) =

A: To find, limx→2-f(x)

Q: Find the value of n in the following definite integral. Lo 4x dx = 1 Answer:

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

Q: f(g(x)) = (3x² f (g(x)) = (x)(x² +3)² (За* — 2х + 4)°

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Q: For the given cost function C(x) = 25600 + 500z + x², %3D First, find the average cost function. Use…

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Q: Find div F and curl F if F(x, y, z) = 7e*Y i – 6 cos yj+ 10 sin? z k. - div F= curl F=

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Q: The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where…

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Q: x²dx с. (х-1) (х?+2x+1)

A: Topic:- application of integration

Q: A function f has the following graph: 4- -3 -2 1- -2 -1 5. 6. 8. -1- -2- Which of the following is…

A: Graph of the function is given, we have to discuss about continuous of the function

Q: 4. Using logarithmic differentiation, or otherwise, find the derivative of y = (sin r)".

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Q: b. Vr4 – 2.x² + 1 dx

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Q: A plane region is bounded by the curves 2x2 + 4x + y = 0 and 2x – y = 0. Sketch the given boundaries…

A: The objective of the question is evaluate the area bounded by the given curves and Sketch of the…

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t3i + 14tj – 6/tk) dt

A: we have to find the indefinite integral

Q: x³dx is equivalent to x² – 4 Using trigonometric substitution , A sec+0 do B) None © 8 C sin³e de D…

A: The given integral,        ∫x3dxx2-4

Q: The most conveneient way to evaluate x² – 4 by substitution is to let x2 – 4 =y A True B False

A: On solving this we will get

Q: Find the exact value of the expressions cos(a + B), sin(a + P) and tan(a + B) under the following…

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Q: Determine the centroid of the first-quadrant region bounded by the parabola y = 4 – x²

A: Given; parabola y=4-x^2

Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

Q: An arithmetic sequence has first term a = 5 and common difference d = 8. How many terms of this…

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Q: (-1)r+1. n=1 と(-1)"+1 n2 2]

A: Topic:- sequence and series

Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

A: A detailed solution is given below

Q: dy Find for dx 5) y = sec-(2e3x)

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Q: Find the value of n in the following definite integral. So 4x° dx 1 Answer:

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