Let f(x) { Calculate the following limits. Enter "DNE" if the limit do f(x) = 10- x - x² if x ≤ 4 if x > 4 lim H-4 2x - 3

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>0

Q: Find the roots of an equation f(x)= x^3-x-1 using four iterations of bisection method. Compute also…

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

Q: 6.5+ (y)² = [3z³y² + (y")³14/3

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Q: mation 9. y'-y = 2te²¹, y(0) = 1 2

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Q: Use integration by parts to evaluate the integral. Round your answer to the nearest tenth. In(z) S²…

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Q: Simplify the expression if ||v|| = 9 and ||w|| = 6. (Give your answer as a whole or exact number.)…

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Q: 2. The limit of the following function equals: a. 0 b. 1 c. -1 d. None of the above answers x2/3 +…

A: See this solution in.

Q: 3 6 9 3 3 ·+en+en.- 3 (v) e ¾ · ³ + e ¯ñ •· ³ + e - 7 · ²³ + ··· + n n 3n 3 ・++en. - n

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Q: Evaluate the following integral. 40x² x4-52x² +576 dx Find the partial fraction decomposition of the…

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Q: The total arm and blade of a windshield wiper is 15in. long and rotates back and forth through an…

A: Draw a schematic diagram of given figure.

Q: Classify the differential equation: () Fourth order, sixth degree, nonlinear, ordinary differential…

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Q: Parameterize the line through P = (-4,-4) and Q = (0, 3) so that the points P and Q correspond to…

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Q: 10- x - x² if 3x + 13 if In(x-1)-2 if Calculate the following limits. Enter "DNE" if the limit does…

A: Topic - limits and functions

Q: Assume that is an acute angle. If sec8=6, find the exact value of sin 8. Write your answer as an…

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Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: The following table shows the daily receipts in millions of dollars of the movie "avatar" for…

Q: 2.Expand the following in powers of x i)√(1 + sinx) ii)e cosx iii) cos x²+

A: Given data:- (i); 1+sinx (ii); excosx (iii); cos-1x2-1x2+1

Q: 58)941

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Q: The Differential Equation y'+y=e* has a solution y=(x+C)ex C is an arbitrary constant. IF TRUE, show…

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Q: Given the two complex numbers: 2₁ = 2 + 4i and Z₂ = √5 -3i 1) Find the value of the complex number…

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Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

Q: Find P.S. of y (2x²-xy + ²) dx -x ² (2x-1) dy=0 4 = 1/2 when x=/

A: The given Initial value problem is y2x2-xy+y2dx-x22x-1dy=0 when x=1, y=12. Let's check the given…

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: The graph of the function fx is The table for the function gx is

Q: Find the distance of the point (4, 2, −4) from the line r(t) = (−1+ 2t, 1+ 2t, 7 – 3t). Answer:

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Q: A graph of a function f is given. 1 y 1 0 1 X

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Q: Find the indefinite integral by using the substitution x = 6 sin 0. (Use C for the constant of…

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Q: Find the limit. Enter the exact answer. If the limit does not exist, enter NA. t³ + 125 lim 1-5 t +…

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Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

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Q: does the series  E infinity/n=1  2^n/3^n converge or diverge a)the series converges because its is…

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Q: 1. Let R be the region bounded by y=-, the x-axis, x = 1, and x = b, where b> 1. Let D be the solid…

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Q: of the shaded region. y = x² - - 15 x (-4,-4) 20 10 -10 - 20

A: The equation of the curves are: C1: y = x3-15x C2: y = x The graph of the curves To evaluate: The…

Q: 3. X+Y)/4=5Z

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Q: Suppose ū = (–5, −4, −5) and v = (–2, 4, −5). Then u x vis Uxuis and

A: Topic- Cross Product of Vectors

Q: A sphere has the equation  x^2 +4x + y^2 -6y +z^2=3 what is the center of the sphere please give…

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Q: C] Find the domains and ranges of the following relations 1) 3) F 67 2 0 -2 2 10 2) 5 0

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Q: skills. AJ re* d 3. [xln(x) dr A.I 5. x²e - dx arctan(r)dx besche Art of (In.2) ² (7.). FRAZA dx…

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Q: 51. Lim ex-1 хто егу +2ex-3

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Q: √t 12. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the…

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Q: Find ||u₁y|| if u = (2,5), v = (8,2). # 5 -X (Express numbers in exact form. Use symbolic notation…

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Q: Solve the inequality involving absolute value. Enter the exact answer in interval notation. To enter…

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Q: The usual estimate that each human-year corresponds to 7 dog-years is not very accurate for young…

A: The function for dog-years is given as , fx=10.5x ,                0≤x≤221+4x-2 ,     x>2  where…

Q: The series True O False Σ n=1 (-1)"-3 √n is absolutely convergent.

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Q: Let A = (3, 4, 2), B = (-1, 4, 4), C = (-2,−1,0), and D = (2,−1, -2). Find the area of the…

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Q: For the function defined as follows, find a. f(x + h), b. f(x+h)-f(x), and c. [f(x +h)-f(x)] /h. 11…

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Q: (b) y = √2-3x

A: y=2-3x

Q: A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt…

A: This question can be solved using the concept of linear differential equation.

Q: "Please show all your work 1. If a vector A=2a, +a, +2a₂and B=a+2a, +ã, find Ax B. 2. If a vector…

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Q: nd the x- and y-intercepts for the function. f(x) = x+10 x2 +25

A: Given query is to find x and y intercept of the function.

Q: 5000 liters of the toxic substance Trioxin was dumped into the local swamp at the beginning of the…

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Q: The circumference C of a circle is a function of its radius given by C (r) = 2πr. a. Express the…

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Q: Solve for x using the system of 6. equations. 7y = 5x and 35 + 4x = 3y

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