Given the following limit, select all statements that must be true. f(10+h)-f(10) h Select all that apply: Of(x) is continuous at x = -5. Of(x) is differentiable at x = -5. lim f(x) exists. x-10° lim f(x) = f(-5). x-10 None of the above. lim h→0 ||

Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: solve

Q: dy B)Solve the differential equation dx x6+4y

A: To solve Differential equation.

Q: (2) Find an expression for the area under the graph of f as a limit. Do NOT evaluate the limit. g(x)…

A: given :   g(x)=x+lnx

Q: the complex number 6√3+6i in polar form 12(cos(n/6)+isin(n/6) 12(cos(n/4)+isin(n/4)…

A:

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A:

Q: Find the general solution of the following differential equation. y" - 11y' + 18y = 0 NOTE: Use c₁…

A:

Q: Question 6 Given: f (x, y, z) = cos(xyz) + ln x5 - sinh y² + 3z Find: af(x, y, z) дz at P(-1, 3, 0)…

A:

Q: 6. Find the radius of convergence and the interval of convergence for E-0¹ (x-2)".

A: 6. The given power series     ∑n=0∞12nx-2n

Q: Let f: A→B be a function, and X⊆A.Prove or disprove: f(f^−1(f(X)))=f(X).

A: Let f: A→B be a function, and X⊆A.Prove or disprove: f(f^−1(f(X)))=f(X)

Q: ii) If there is a second eigenvalue (the second-smallest), give a basis of eigenvectors associated…

A: You have asked question (2) According to question,Given Matrix,A = 3006-306-63Eigen Values = 3, -3

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Find the sum of the values of f(x) = x³ over the integers 1, 2, 3, ..., 10.

A:

Q: 1. Find each of the following derivatives. d a. dx (4 sinx) b. [ln (2x4 - 3x)]

A: We have to find derivative of given function.

Q: Evaluate: f(cos 5x - 2 sin 3x) dx O sin 5x - cos 3x + C Osin 5x - cos 3x + C O sin 5x+cos 3x + C…

A:

Q: The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

A: folllow the procedure given below.

Q: Solve differential equation dy dx -(x²+y) x+siny

A:

Q: Find the area enclosed by the curves f(x) = 33 - x² and g(x)=x². The area (rounded to two decimal…

A: The region bounded by the curves fx=33-x2 and gx=x2

Q: Find the minimum and maximum values of z= 9x+4​y, if​ possible, for the following set of…

A:

Q: f(x)=5sinx+2cosx,on(−π,π)f(x)=5sin⁡x+2cos⁡x,on(−π,π) a) Determine the intervals on which ff is…

A:

Q: Find the equation of the tangent to the function y = cos(2x) at the point where x = л/4.

A: equation of a tangent line

Q: Find f if f"(t) = 2e¹ + 3 sin(t), f(0) = −4, ƒ(ñ) = 9. f(t) = 2e^t-3sint-6

A:

Q: B)Is w Zez analytical function or not? =

A:

Q: Use the matrices below to perform the indicated operation if possible. 6 B-[-3.0-[1] C [89] -4 = If…

A: Performing the indicated matrix operation

Q: ƒ(s) = 4s - 18 9-s² What function f(t) has Laplace transform: 5s (s - 2)² +

A:

Q: Sketch the graph of f and use your sketch to find the absolute and lo f(x) = sin(x), 2 absolute…

A:

Q: Find (f+g)(x) and identify the graph of f+g. f(x)=x² and g(x) = 5 Part: 0/2 Part 1 of 2 (f+g)(x) =…

A: As per our company guidelines we can answer only one question at a time so if you need more answers…

Q: Find the derivative of the following function. Factor fully and simplify your answer so no negative…

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Q: Find a vector-valued function, using the given parameter, to represent the intersection of the…

A:

Q: Find the critical numbers and any local maximum and minimum points for the function ex f(x) = 2x…

A:

Q: For the function f(x) = 2x2 - 5x a) Find f'(x) from FIRST PRINCIPLES b) Use your result from a) to…

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Q: Determine dy/dx of = 3x(sin(2/2)) O None of the choices O 12/cos (2/2) + sin(2/2) 0-12 sin(22) + 3…

A:

Q: Refer to the functions r and p. Find the function (p-r) (x) and write the domain in interval…

A: As per the guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: dz - 6² 7 4 16 + Consider the integral 7² +16 du ONI - S = (2-16) a) I= /0 du O b) I 117 So u (u -…

A: Given :I=∫01dz7z+16

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A:

Q: cos(In2x) X A) cos(Inx) + c C) sin(In2x) + c dx = ? B) sin(Inx) + c D) E) 2.sin(In2x) + c 2…

A: Given

Q: Find the unit tangent vector T(7) for the line tangent to the space curve r(t) = (12 cost, 12 sint,…

A:

Q: the complex number 6√3+6i in polar form* 12(cos(n/6)+isin(n/6) 12(cos(n/4)+isin(n/4)…

A:

Q: Q2A)Matrix A 14 2 find Eigen values of A².

A: We can solve this as follows:

Q: the complex number 6√3+6i in polar form O 12(cos(n/6)+isin(n/6) O 12(cos(n/4)+isin(n/4) O…

A: As we know that; The complex number z=a+ib can be written as polar form; z=rcosθ+isinθ Where;…

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A: A box for the apples to apples game such that its width is exactly three times its length and its…

Q: Find area bounded by y=0,y=√x-x² using double integration.

A: To find the area of the given region.

Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…

A: Given

Q: Use the method of reduction of order to find a second solution of the differential equation ty" +…

A:

Q: If 3x² + 2xy + y² = 2, what is? dx

A: Follow the procedure given below.

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: We have to find area bounded by the given curve.

Q: Find dy given that x = sec² y y. dx Osec² ytan y cos² y tan y 2 Osin² y cot y O cos² y cot y

A:

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

A: Here we have to solve the differential equation.

Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤ 0 ≤π/2. 2. Find the length of the r(t)= , 1≤t≤ 5 3.…

A:

Q: Evaluate f(sinxcosx + tanxsec² x) dx O-[sin²x + tan² x] + C O tan²x - sin²x + C O sin²x - tan²x + C…

A:

Q: Use algebra to evaluate the following limits. 3x4 - 5x² x² 2x² - 2x-12 a) lim x-0 b) lim x+3 x²-9

A: Here we will use basic limit laws and algebra to find the limits.