Numeric Response If the value of log sin = -2, then the value of log₁ csc 0 is

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [ cos¹…

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

Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 8…

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Q: Use the Ratio Test to determine if the series converges. 2k Σ k=1 k 149

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Q: For the given demand equation, differentiate implicitly to find dp/dx. ) 40p2 - 300p + 612 = x

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Q: Use partial fractions to find the power series of the function: 8 n=0 11x² + 629 (x² + 64)(x² + 49)

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Q: Answer 3 Only

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Q: Find the limits. f(x) = x + 2 g(x) = x² (a) lim_ f(x) = (b) (c) X-5 lim g(x) = X-0 lim g(f(x)) =

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Q: Find an equation of the tangent plane to the surface at the given point. x2 + y2 − 4z2 = 21,    (−3,…

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Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when…

A: The given functions are, a) y=14t5b) m=6nc) y=x34-5x2+300 Note:    Multiple parts are given, we are…

Q: f(x) = x+69 (x-3)(x-6)

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Q: 0.5 0.5 sinxy dx dy, using the Ax = Ay = 0.25 0 1+xy H.w2: evaluate f

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Q: 10 Find lim f(x) given the graph of f(x) shown above. (If the limit does not exist, enter Ø.) 1-2

A: Find the limit from the graph

Q: ii) Find the exact area of the surface obtained by rotating the curve y = x³ + 1 ≤ x ≤ 2, 1 3 12x 9

A: Use Area of surface  formula.

Q: Express the complex number -3i in the form R(cos(0) + i sin(0)) = Ree where R> 0 and 0 ≤ 0 ≤ 2.…

A: The given complex number is -3i

Q: ! x (x3-2x²+x)(x²+1)* Let f(x) are any constants, which of the following decompositions into partial…

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Q: Find all solutions of the equation in the interval [0,2π) (hint: isolate the trig function then draw…

A: Given, tan^2(x)−3=0

Q: c) - i) Find the general term (an) of the sequence ii) Calculate 2e-¹,5e-2, 10e-3,…

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Q: What is the derivative of f(x) = Select the correct answer below: O 4V/2 O 2012 3 O w/s O 16V/2 о 3…

A: Derivative of function f(x)=43x54 at x=4

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. S sec² x 81 -…

A: The given integral is: I=∫sec2x81-tan2xdx    ...1   As we know the common integral.…

Q: Evaluate the integral by making an appropriate change of variables. 5(x + y) ex² - y² dA, where R is…

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Q: 8 Σ η=1 1 3Vn + n η

A: Calculate the limit of the given term as n reaches infinity.

Q: The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x about y = 4…

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Q: Specify the substitution you would choose to evaluate the integrals. √ √4-2t dt Ou=t Ou = 4-2t O u =…

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Q: Given x = y² + y + 1 from 0 ≤ y ≤ 2

A: To find the arclength of the following curve

Q: Determine the value of k for which the direction vectors of the lines x+3 Z = y = -1 are…

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Q: ∞<a=(a'l Find the local max & min using First and second Derivative 3 f(x) = 9+3x2 - 2x² 7 sou?

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Q: For f(x, y) = cos(xy²), which of the followings is true? O fr = fy O fxy = fyx O frr = fyy O fryr =…

A: The given function is fx,y=cosxy2

Q: Show that the function has removable discontinuity at the origin sin 2x 2x f(x) = 1 if x = 0 if x =…

A: Given that a function f(x) and we show that the function has removable discontinuity at the origin .…

Q: b) [ bounded 1: Find the volume of the solid obtained by rotating the region by the curve about the…

A: Graph:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | sin (2) x²…

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Q: Determine the indicated characteristics and graph each function. y = x²(x-1)(2x+3)(x - 5)³ Zeros: 2.…

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Q: Find the partial fraction decomposition: 7x²+11x+20 x³+4x²+6x+24

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Q: Evaluate e √ √x +4-2 √√x²-16 2√x 4+4ln√√x+4-√√x−4+C B 2√x−4+2ln(√x+4-√√x-4)²+C…

A: I=∫x+4-2x2-16 dx =∫x+4-2x+4x-4 dx=∫x+4-2x+4x-4 dx Lets substitute u=x+4⇒dudx=12x+4=12u⇒2udu=dx also…

Q: b) Find the derivative f'(x) in the following cases. 5x+1 1. f(x) = 2x-1. 2. f(x) = 3. f(x) = csc x…

A: We will find the derivative of given function as shown below

Q: Determine whether the following statement is true or false. — [√³] = √f'(x). dx If y = f(x), then

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer.…

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Q: Give an example of a function f (x) that has one positive derivative on (−1,0) and a negative…

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Q: Consider the following function. f(x) = 4x² - 6x Find the limit. lim Az-0 f (x + Ax)-f(x) Ax

A: Explanation of the answer is as follows

Q: Given the triangle not drawn to scale A = 12/ A 19 8 find the measure of angle A using the Law of…

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Q: Find the second derivative of F(t) = (1 − 2t²)i + (tcost)j – tk. O-1-(2sin(t) + tcos(t)) - (2sin(t)…

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Q: Question 4 of 20 < View Policies Current Attempt in Progress Determine whether the statement is true…

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Q: Graph the parabola. 3 y= Plot five points on the parabola: the vertex, two points to the left of the…

A: Solution: y=32x2 vertex = (0,0)

Q: Find the slope of the line tangent to the polar curve at the given points. 7-49 cos26. (0.7). (0.-)…

A: Slope of the tangent line at given point for curve r2=49cos2θ

Q: the function f: Z × Z→Z × Z defined by the formula          f(m,n) = (4m+3n, 3m+2n) is bijective.…

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Q: 2. What is the degree of the function g(x)=-2x(2x-1)(x² + 1)²?

A: The given function is; g(x)=-2x(2x-1)(x2+1)2.

Q: ii) Find the exact area of the surface obtained by rotating the curve 1 12x 3 y = x³ + 9 1 ≤ x ≤ 2,

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Q: Consider the following function. f(x) = x=4 Determine whether f(x) approaches ∞ or - as x approaches…

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Q: Let f(x) = x³ + 6x² - 63x + 25. (a) Use the definition of a derivative or the derivative rules to…

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Q: Evaluate the integral. NOTE: Enter the exact answer. 1 X for fo (ory + 173 dy d 1)² dy dx =

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [[₁…

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