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Q: Sketch

A: Please refer to the image below

Q: Which of the following equations is NOT a variable separable differential equation? A B (x² − yx²)…

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Q: YA -3 x (a) If f is increasing on an interval, then the y-values of the points on the graph [rise…

A: Given graph of function is

Q: H.W. Solve 3) (D² + 4)y = 8 sin(2x)

A: As per the company rule we can answer only first question and rest can be reposted.

Q: f(x)=x²-4 2 X-X-6

A: Factorize the numerator and denominator.

Q: im -3 1 x+5 8 x-3 ►

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Q: Make a table of values for the equation. x + y² = 9 X Sketch a graph of the equation. у -2 -1 0 1 2

A: Substitute y=-2 in x+y2=9 and calculate the value of x.       x+y2=9x+-22=9       x+4=9…

Q: (a) Find the Taylor series expansion of the function cos x around x = 0 (b) Use the first three…

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Q: D The graph of the function h is shown. 3 2.5 2 1.5 1 0.5 O -0.5 -1 -1.5 -25 -5 -4 The limit is…

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Q: log₂log 1 (x − 6) < 0 2

A: Here we are asked to solve the inequality: log2log12x-6&lt;0

Q: Use the Chain Rule to find dz/dt. z = xy9 − x2y,    x = t2 + 1,    y = t2 − 1

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Q: ƒ(x)—ƒ(6) f(10) c) f(x) = =

A: To find f(x)

Q: Consider the function defined as follows: f(x) = 5x² - 8x + 10. f(3+h)-f(3) h as happroaches zero.…

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Q: Evaluate the surface integral parametric equation 1₁26 2y dA= [₁² H 2y dA where H is the helicoid…

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Q: (4) Find the volume of the solid obtained by rotating the region bounded by y y=√x about the y = 1.…

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Q: 2. The population of a city is growing continuously by the same percent each year. The population at…

A: We can solve this by following methods.

Q: sin 3x cos 3x (cos 3x + 1)² dx 19) f 22) fex√3-4e2x dx 20) f ITV In x dx 21) f x√4 lnx-1 23)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: -8; -11; -14; ... Determine T, the general term the number pattern.

A: Finding the general term of the sequence

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

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Q: Q1) Evaluate: (a) fe²_1_dx Inx sin ¹x 1-x² dx (b) f 1- cos dx (e) Jỗ 2sinx cosx dx (c) | Inx dx

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Q: 2. tan o C √उ, oe all

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Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: write true or false for each statement  1. {∅}⊆{∅,{∅}}   2. ∅⊈∅   3. {∅}∈{∅}

A: The answers are given below:

Q: What is the general solution to the the differential equation3y" - y'- 2y = 10e *?

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Q: 5. Find all constants a, b that make f continuous everywhere. (Use limits and definition of…

A: With the help of limiting criteria we have to find the values of a and b.

Q: The graph below is the function f(x) 5- -4 -3 2 -1 Find lim →4 Find lim →4+ Find lim H-4 4 30 1 f(x)…

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Q: Given the graph of f(x) = √√x as shown, graph the function 3 f(x + 4) - 3. -7 -6 -5 -4 -3 -2 -1 7+…

A: Solve the following

Q: Prove that tan'z= let% 1/2 in (1+2) ة لله tan't Z • tanw=Z Z = Sinw cosw

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Q: O V(2)-V(1) 1 O V(lim t) t-1 The size of a balloon is changing with respect to time, such that the…

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Q: Solve for the indicated variable. Show all work. 1. Solve for n in: 2. Solve for x in: 3. Solve for…

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Q: If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c…

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Q: Express the following functions in the form u+iv • f(z) = \n (1+z) P

A: Given function is: f(z)=ln(1+z) Let z=x+iy

Q: (a) If the point (1, 7) is on the graph of an even function, what other point must also be on the…

A: Topic- functions for even function if (x,y) is on the graph then (-x,y) is also on the graph for odd…

Q: Find the exact length of the arc intercepted by a central angle 8 on a circle of radius r. Then…

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Q: What are the eigenvalues and eigenvectors of the following matrix? M= [ 0 1] [1 0]

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Q: 4. Evaluate y ds where C is the upper half of circle x² + y² = 9, traversed in the counterclockwise…

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Q: Find the limit. Enter the exact answer. If the limit does not exist, enter NA. 5x2 – x – 4 lim x→1…

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Q: At what points is the function y = X 2 x + 5 - 13x + 40 continuous?

A: A rational function is continuous at all the points wherever it is defined.

Q: Solve the homogenous diff equation of; xdx . (y+1) dy y³ e-x = 0

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Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0

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Q: f(x) = 9+x= x + 1 f(x) = f(4) X-4

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Here we use the process of integration and use the given point to calculate the constant of…

Q: Using the image below, change the order of the following integral Jổ Jõ sinh(æ + y)dady = Ju Je…

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Q: Given x and f(x), fill out the rest of the table. X -2 -1 f(x) f(x) - 1-6 f(x - 1)-7 -f(x) 5 f(-x)…

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Q: Find the area of the surface generated by revolving the parabolic arc y = x 2 for 0≤x≤ 1 about the…

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Q: Differentiate. g(x) = 4x-9 5x+1 g'(x)= 3 + X

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Q: sing the substitution u = √x + 3, evaluate 2 S. VELVE √(√x + 3)2 dr.

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Q: Use the graph to find the average rate of change. 5) Monthly Cellular Phone Charge in Dollars 80+…

A: To find average rate of change of given function through its graph.

Q: Prove that tan'z= leto 1/2 in (1+2) tan't z • tanw=Z Z = Sinw cosw

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Q: 16. Solve the inequality. Write the answer using interval notations. (1 − x²)²³(2 – 3x²) – (2x −…

A: Given inequality:- 1-x2322-3x2-2x-x31-x212-3x1-x23&gt;0