. [0/1 Points] DETAILS PREVIOUS ANSWERS OSCA Use the fundamental identities to fully simplify the expression. cot(t) + tan(t) csc(-t) In the given expression, rewrite each factor in terms of sin(t) and function?

Q: Consider the following function. f(x)=3- |x-41 (a) Find the critical numbers of f. (Enter your…

A: 1) The given function is: f(x)=3-|x-4|       =3-(x-4); if x≥43-(-(x-4)); if x<4       =7-x; if…

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

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Q: Theorem (Two-Path Test). Let f be a function defined by z = =f(x, y). If f has different. limits as…

A: limx, y→0, 0x2yx2+y2

Q: r = 12 sin 18ti + 12 cos 18tj

A: Given :

Q: Find the range for the function x²+y²=4

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Q: Find the limit. Use l'Hospital's Rule wher lim [In(x⁹ – 1) – In(x³ – 1)] - - *-1*

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41³ + 146) (4t³i + 14tj -…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e cos(t), y=e¹ sin(t), z =…

A: Let's find.

Q: Find the limit. lim (t i 6 j + t² k) t-5 lim (t i − 6 j + t² k) = i t-5 i+ i j+ i k

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Q: Let ƒ(x) = √x(2 − x)². Use the local linear approximation of f(x) at x 1 to estimate the value of…

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Q: A car braked with a constant deceleration of 16 ft/s², producing skid marks measuring 50 ft before…

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Q: Consider the following function. 13 f(x) = - In x 13 (a) Find the critical numbers of f. (Enter your…

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Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand automobile tires…

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Q: Solve the differential equation: (D³ + D)²y = 0

A: The solution for the given differential equation is

Q: For the given function sketch the graph; determine if f is continuous at xo and determine if f is…

A: Given: Graph:

Q: Jc = − xj; P(−2, −4), Q(-2,-2)

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Q: (D² – D − 2)y - COS X

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Q: Use the Ratio Test to determine the convergence or divergence of the series. (If you need to use ∞…

A: The given series is (2n)! /n2 , n from 1 to infinity.

Q: F. dr if Using any method, find the value of So F(x, y) = (6e + 3ye") i + (3eª + 6xe²) j and πt C:…

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Q: IF F. dr. F(x, y) = 9xi + 6yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2 Evaluate

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Q: Given that 1³ ex dx 5e³ - 5e +8 Need Help? dx = e³e, use this result to evaluate Watch It Master It…

A: Given integral is used.

Q: Use the figure below to find the exact value of the trigonometric function of angle A. csc (A)

A: answer is in next step

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: d²y_dy + y = 0 dx d³y_d²y dx³ dx²

A: Auxillary equation ism3-m2-m+1=0m2(m-1)-(m-1)=0(m2-1)(m-1)=0(m+1)(m-1)(m-1)=0m=-1.1.1  are the roots

Q: Evaluate [x²z dx - yx² dy + 7 dz along the curve C shown in the figure. с 4 X [x²zdx - yux²2 dy +7…

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Q: 1- Find the area under one arch of y = cos3 x

A: To find the area under the arch we will integrate the given function under the limits of the given…

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

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Q: 2. Evaluate the following (Express all answer in Rectangular Form): d. √9+ 2i e. 2¹ + ln(2 + i)

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Q: ind r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). r(t) = 2t²i - 2tj + 5t³k (a) r'(t) (b) r"(t) (c)…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: Calculate the first and second derivative and then go ahead

Q: Consider the following function. f(x) = (8 - x)(x + 1)² (a) Find the critical numbers of f. (Enter…

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Q: A campground owner has 600 m of fencing. He wants to enclose a rectangular field bordering a river,…

A: Given the query is to find maximum area of the field.

Q: p(x), χ b on [a, b], which of the following is/are In f(x) continuous always true?

A: Given that q(x) is  continuous on [ a , b ]  which means f(x) is continuous on [ a , b ] .       as…

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = f(x) X…

A: According to the guidelines, I am answering first three subparts. Please repost the remaining.…

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Given: y=5xx2-1 Solution: Intercept: x-intercept is a point on the graph where y=0…

Q: the

A: We will solve the Differential equation.

Q: 8. Use differential to estimate the value of √ 4.01 four decimal places. 9. Use differentials to…

A: We have to find 8.The value of √4.01-1/√4.01 upto four           decimal places.  9. The value of…

Q: d. Write the equations for any vertical asymptotes. e. What is the value of f"(x) on the interval -3…

A: We need to fill in the blanks.

Q: Convert the Cartesian equation Z z = 6-√√36-x² - y² into spherical coordinates.

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Q: EDO dy/dx = x2 /1+y2

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Q: Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f. f(x)…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 6 P6(x) =

A: nth Maclaurin polynomial for the function :       Pn(x) =  ∑i=0n fi(0)i!xi = f(0)+f'(0)x + f''(0)…

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

A: The given integral is x2/3 +8 limit from 1 to 2.

Q: Find the Taylor series for  f(x)  centered at the given value of a. [Assume that f has a power…

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Q: Calculate the higher derivative. (Use symbolic notation and fractions where needed.) d² dt² -8 cos²…

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Q: 1 sin(x) and cot(x) = is a constant number. Recall that csc(x) = 3 cot(x) The ratio dx csc² (x) (Use…

A: Explanation of the answer is as follows

Q: x = 10t, y = t², (0 ≤ t ≤ 1). In each part, evaluate the line integral along C. NOTE: Enter the…

A: To find the values of given line integrals.

Q: 1 find the total differential dz. z=xsin y + x² z = (2x² + 3y)² z=5x-7y

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: r(t) = 8 cos(t)i +8 sin(t)j + tk; t = 2 8 √65 65 √65 0. = X 65 = 0 - 10 .

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