x-8 1. limx-2 x-2

Q: х—1 dx x4-1

A: Solution of question is written in below steps.

Q: If the powers of both sine and cosine are both even, what trigonometric ifentities to be used as a…

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

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

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Q: Ex : Express the Sum o+ 2 +4+6+8 in Sigma nata tion. K = -2 %3D -2

A: First we find nth term of AP then replace k by k+3

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: First we find unit vector of v.

Q: The graph of x +y = 100 is a circle having center at the origin and radius 10. a. Write the equation…

A: The graph of the circle x2+y2=100 having center at the origin and radius 10

Q: dx x² +4x+29 3.

A: Explanation of the answer is as follows

Q: If f(x) dx = 2 and f(x) dx = 7 then f(x) dx equals a -4 b. 4 -5 O O O

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Q: Choose the correct Sympy expression to cal Select one: a. diff(f, x, x) b. deriv(f,x) c. diff(f, x)…

A: 1).   To compute this definite integral, pass this argument >> Integrate ( f, (x, 0, π/3))…

Q: EXERCISE 1 Solve the following ODE from x = 0 to x = 1.0 using the Euler's method with the step size…

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Q: dy Find dx using implicit differentiation. 5x = 2y° +7y dy dx

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Q: 2) Evaluate the following line integral:S. (v + z)dx + (x + z)dy + (x + y)dz where C consists of the…

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Q: Given ∫(x5−3x4+6x3+3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: Exercise 3:a Express an inequality statement that relates mz1 and m2. В 6 D A, 18 12, 18

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Q: dx (2x2-5)3

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: Find the angle 8 between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: 2. Use disk or washer methods. Find the volume of solids enclosed by y -2 = (x- 2)* and x- 2 = (y-…

A: Given: y-2=x-22⇒y=x-22+2x-2=y-22⇒y=x-2+2 Formulas used: Using washer or disc method, The volume of…

Q: Find the volume of the solid that results when the region enclosed by 4x 0, x = 1, and y = 0 is…

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Q: Give the corresponding indefinite integral. Show your complete solution. Answer must be handwritten.

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Q: 2. Find the dimensions of a rectangle with an area of 225 square cm, whose perimeter is as small as…

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Q: Determine the maximum value of f (x) = 5x – e5x [T:3] on the interval [-1,1] %3D

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Q: 3. What is the amplitude of the graph y = -4sin (x - 2)? The amplitude is. units. 2т 4

A: As we know that; The standard form of the sinusoidal function is: y=asinbx-c Where;…

Q: 30 cm of wire is cut into 2 pieces. One piece is bent into a square, and the other piece is bent…

A: To find out the length of the two pieces.

Q: The value C for the solution of the initial value problem f'(x) = x² – 6x + 2, given that f(0) = 0.…

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Q: Find the points on the ellipse 25x? + y² = 25 that are farthest away from the point (1, 0). List all…

A: Given equation of ellipse, 25x2+y2=25So, y=±25-25x2 Now distance between the points (x,y) and (1,0)=…

Q: Given the function f(x)%3D 2x2 f(x + h) - f(x) Find the difference quotient h f(r + h) – f(x) Find…

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Q: 11. Find the cosine of the measure of the angle between A and B.

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Q: Find the values of constants a, b, and c so that the graph of y = ax° + bx + cx has a local maximum…

A: Given problem:- Find the values of constants a, b, and c so that the graph of y = ax3 + bx2 + cx has…

Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis. y=x^2…

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Q: Use the rules for sums of powers of integers to compute the sum. 17

A: Given : the summation of k2, k from 3 to 17.

Q: 24. Find the area of the triangle having vertices at (4, 5, 6), (4. 4, 5), and (3, 5, 5).

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Q: 3 dx x² +4x+29

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Q: Show by integration that the volume of a sphere of radius r is V=4/3 πr³

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Q: So what is the square units

A: Apologies for the inconvenience. The correct solution is given below: Given function is: fx=ex7 from…

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx² + y²,…

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Q: How many combinations are there to pick r objects from 2n objects numbered from 1 to 2n with n > 2…

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Q: The antiderivative of the function f(x) 4 + 11x is + 5.5z2 + c 4 5.5x + c -4 + 22.0x2 + c -4 +5.5x2…

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Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Find your answer below

Q: Y = 1 - x², y = 2 + 2x, and y = 2– 2x

A: Let's find.

Q: Evaluate x +1)?dx = [{(x+ 1}dx+ f{(x+ 1}°dx %3D

A: ∫13x+12dx=∫12x+12dx+∫23x+12dx⇒563=∫12x+12dx+∫23x+12dx⇒563=193+∫23x+12dx⇒563=193+373

Q: find the domain of the following equation: f(x) = 4 Vx2 – 4

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Q: X- Sin Find d2y/dx2 without eliminating the parameter. 16) x = 1 - 10 sin t, y = 1 + 9 cos t, t n7…

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Q: Exercise 2: Write an inequality or pair of inequalities to describe the possible values of x. Then…

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Q: Use D-I method

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Q: Given that s(x)=(−1)/ (x+8) +(9)/(x−4), what is the antiderivative of s(x)? (Do not include the…

A: sx=-1x+8+9x-4

Q: Hello, We are in the financial math chapter. If the population of polar bears in the Beaufort Sea…

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Q: Given the rectangular coordinates (-5, 5), which of the following polar coordinate pairs, in…

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Q: Activity 5: Find the following indefinite integrals. 1. Sdy 2. fx(8x? – 6 +) dx 3 6. S COSX dx sin?x…

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