1. Given that a right triangle has sin 0 = 0.5. Find another two sides of length if hypotenuse length is 5 cm. 2. Given that a right triangle has two side length 5 cm and 8 cm. Find the length of hypotenuse and every angle.

Q: Show that f is continuous on (-00, 00). if x ≤1 f(x) =(1-x² In(x) if x > 1 On the interval (-∞o, 1),…

A: solution:-f(x)=1-x2   if x≤1ln(x)     if  x>1on the  interval -∞, 1 f is quadratic function &…

Q: 2. Stan.xdx

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Q: 1. Which of the following is the reverse operation of [f(x)]? dx A) f f(x) dx B) Jdx C)f cdx D) dx…

A: Topic = Integration 1) A 2) A

Q: 1) lim x + 5 x-3 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

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Q: 2. lim x--33 X f(x) ?

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Q: Which of the following is the appropriate substitution to evaluate the given integral using…

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

Q: Evaluate the given integral by using three terms of the appropriate series. 0.9 S sin x²dx 0

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Q: The result of the following sin 1² t limit is lim 1-0

A: Here we have to evaluate the given limit.

Q: a. lim (3x - 5) x->-1 b.lim x² -9 xxxx²²-4x+3 2 x²-9 c.lim XX x² - 4x +3 2

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Q: Which of the following relations is a function? {(1, 9), (2, 4), (2, 3), (4, 15)} {(2, 7), (7, 9),…

A: Given

Q: Question 5 Use Pascal's triangle to expand your binomial expression. A (1 + x)³ (1-x)³ (1 + x)4…

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Q: 1. Which of the following represents the limits of ff(x)dx? A) a and b B) f(x) and dx C) a and f(x)…

A: Given : ∫abf(x)dx

Q: I need the third derivative for all of the following functions: f(x)= 1+X f(x) = -=-=-=-=-x 1-X €(x)…

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Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

A: This question can be solved using the concept of derivatives.

Q: 2. lim x-1 X f(x) x-1 √3 0.9 0.99 0.999 1 ? 1.001 1.01 1.1

A: Given problem:- limx→12x-1-3x-1 Evaluate limit using table

Q: Evaluate the integral. °/√36 - x² dx = 36cos + √36-x² + C 6 |x X ° / √36- √36x² dx = 18sin + 36-x² +…

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Q: give the integral of volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0…

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: 4.[(5x³ 5.Ĵ(6x² − 2x² +4x)dx − 3x+1)dx

A: Topic = Derivative

Q: for the function below, the domain and the range is respectively y = x²/5

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Q: Find the equation for any horizontal asymptotes for the function below. f(x) = 5-8x+x² 4+5x+2x²2² CO…

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Q: Solve the initial value problem. 1. y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

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Q: Given x = t, y = 1/t, find the curvature at t = 2. 16 17√/17 O 16 17 O 16/17 17 16 √17

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Q: 5. (a) (4) Find the area of the surface S, which is the part of x² + y² + ² = 4 that lies inside the…

A: As per bartleby guidelines we only give first question answers.

Q: - 3x² + if x 1 a. Determine the value of a for which g is continuous from the left at 1. b.…

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Q: Function do you know from calculus is such that its first derivative is itself? (Do not use the…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: See the details solution in below

Q: dy a) Show that the equation x² - 13y² 12xy is homogeneous. dx The equation is homogeneous because…

A: We have to solve a part a,b and c.

Q: 2. -) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the…

A: Let's find equation of tangent plane and parametric equations of normal line.

Q: Total claims rejected: 100 Total claims submitted: 1,000 Time period: 3 months   Calculate the…

A: Rejection rate

Q: A-The derivative is y = In Vsin 0 cos 0 1 + 2 ln 0

A: Let's find derivative of given  function.

Q: What is the absolute max and min values of f(x)= x²ex on x€[-5,1]

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Q: The velocity of a particle on the time interval 1 ≤ x ≤ 4 is v(x) = e²x, where v(x) is in cm/s. What…

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Q: slope the line that passes through the given points. point-slope form of the equation of the line.…

A: We will solve the problem.

Q: Find the limit of the vector-valued function if it exists. lim(e² i + sin(t)j + e¯¹²k) O does not…

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Q: Question 5 Use Pascal's triangle to expand your binomial expression. A (1 + x)³ B (1-x)³ C (1 + x)4…

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Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: (10) A. 11 = (x²-3x-1) A. 11 3. lm, (x²-25x-5) x-20 B. 10 B. 10 C 9 C. 9 D. 8 D. 8

A: 1) Given limx→010 We know that limx→0K=K               where K is constant . Therefore limx→010=10…

Q: 10. lim, [(2)(x²+x-5)] A. -6 B. 0 C. -2 5 D. 4

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Q: Q1 Find the distance between the points A (2, -5, 7) and B (-3, -1, 6).

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Q: The figure shown to the right contains a scatter plot of 10 data points for trees, where the…

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Q: Answer: 17.653 # Find the area enclosed by the graph of y = 10 1+x² 1 and the line y = 1.

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Q: with solution Final dy वर di dr-/2cset-1 de lesct. +2

A: We have to find out derivative

Q: cos θ =cosθ/csc θ, where θº ≤ θ < 360º, is shown below step one) cosθ=cosθ(1/cosθ) step two)…

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Q: of the 3. Find the de AND FINAL ANSWER 1. f(x) = (4x² +8x + 2)² 2. f(x)=(2x +6) f(x)=(3x²+2x+1)³ 3.…

A: Topic = Derivative

Q: The graph of y=f(x)is given below. 7 4 Find all a values at which f is not differentiable.…

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Q: 4- For f(x) = 4x¹/3 + x4/3, determine the intervals where the function is increasing.

A: Given :f(x)=4x13+x43

Q: f(x) = (x²-4) (x²-1) lect the correct choice below and fill in any answer boxes to complete your…

A: SOLUTION-

Q: RULING AND SOLVING! 1. Review the basic concepts of Basic Rules of Differentiation. 2. Solve the…

A: Given 3. f(x)=(5x2+8x)3To find the deriative:

Q: Evaluate f 4r-1 3 (2r+1)² dr

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Q: x Cos y Q7. Let f(x, y) = ye ²x + Find fxyx (0,1). √√y² +1 dy dz Q8. If z = x² + 3y, x = sint and t²…

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