What is the equation of the mean line of y=a sin(k(z – d)) + e? %3D O a) y = -a+c O b) x = c c) y = a+c O d) y = c

Q: Find the exact area of the surface obtained by rotating the curve x = 21² +=, y = &Vr,1s153, about…

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Q: (5) Use an iterated integral to find the area if the region. y y = 4 – x² 3 4 2.

A: Given; Now taking an elementary vertical strip. The area of the strip is: dA=Ldx∫dA=∫Ldx Where; L…

Q: Draw a graph of sin 2x + sin 2(x + π/3). What are the period and amplitude

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Q: cot'x csc'xdx 4.

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Q: 2. Draw Venn diagram and shade the given a) AOB° b) (AUB)\B c) ((Cn4)\(B\A)°)nc

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Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km /…

A: Given : Time =9.65 s Distance =100m

Q: For the function f(x) = x ln(1+ x°), %3D a) What is the Maclaurin series for f and its interval of…

A: Given function is fx=xln1+x3Maclaurin Series of function fx…

Q: Convert the Cartesian equation x 2 + y 2 = 36 to a polar equation. r = 6

A: Topic = Circle

Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r>0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

Q: Consider the function below. f(t) = t + cost, -2n sts 2n (a) Find the interval of increase. (Enter…

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Q: Is the polynomial in standard form? [ Select] Classify the polynomial by degree [Select] * and…

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Q: 3. Determine the inverse Laplace transforms. (-2s + 5) -5s – 20 (b) f(t) = L ' 1(s² + 4) (s + 1) ]…

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Q: d. Without doing any computations, what do you expect to be the instantaneous velocity of the ball…

A: Since   s(t) = 64 - 16(t - 1)² As we can see that at t = 1 , the above quadratic equation has its…

Q: Find the slope of the line 5x- 3y-1=0 O a. 5 O b. 5/3 O c. 3 3/5

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Q: Approximate the area under the graph of f(x) 1 over the interval (0, 4] using five rectangles. x +1…

A: Let's find.

Q: y = x° – 6x, y = x² у — х b. Find the area of the region enclosed by the two equations. Only include…

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Q: 1. Find the following derivatives: d E In (1 + In(t)) dt A P B = In (1 + In(t)) dt dr 1/a d E| In (1…

A: Given problem:-

Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

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Q: #12- Fnd the indefinite integral of the follaung funchon and check the result by differentionion.

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Q: 3. Evaluate the following integrals: cos e G = de J (1 + sin 8) vsin 0

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Q: 4x x - 3x – 18 logarithms. Express powers as factors. 20. Write log2 asthe sum and/or difference of

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Q: 16. Evaluate the given integral, ," x sin x² dx coS 16 coS 4 A. 2 2 cos 16 cOS 4 В. + 2 cos 16 coS 4…

A: We have to find the solution

Q: Select the answer option that corresponds with polar coordinates (2, 90\degree). 90° 2 WIN 135° 4…

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

Q: Choose the point which shows the correct location for the polar coordinate (3, 625*). so 90 WI2 4…

A: The given diagram is:

Q: Use the summation formulas to rewrite the expression without the summation notation. 2j + 7 n2 j = 1…

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Q: if 0 < x < 5, if 5 <x < 10. За-15 f(x) 15 - За Evaluate the definite integral by interpreting it in…

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Q: A particle travels along the r-axis such that its velocity is given by v(t) = t2 cos (3t + 2). What…

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Q: dx V5+4x-x² 5.

A: We have to solve question  5

Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

A: The given integration,      ∫3x+3xdx

Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

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Q: Let a (-2, –1,9) and b = (-8, 4, 3) be vectors. (A) Find the scalar projection of » onto a. Scalar…

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Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: The x-intercepts of f(x)=x°+ 11x²+ 10x are: %3D O a. (0,0), (1,0) and (10,0) O b. None O c. (-1,0)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Use the trapezoidal rule of integration to determine the value of the following integrals (a) (b) 2…

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Q: Write an equation of the plane with normal vector n= (2,8, -4) passing through the point (3,-9,-5)…

A: Vector equation of plane is used.

Q: Perform the operation and write the result in standard form. 3 4 1+i 1-i 7. +

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Q: 24. The plane that contains the line x = 1 + t, y = 2 – t, z = 4 – 3t and is parallel to the plane…

A: To find out equation of plane first we change the equation of line in symmetrical form then find out…

Q: Use the graphing utility to plot the graph of y = tan on the interval [1, 50]. y = 2-8 y 2:45 2-1…

A: Let's find.

Q: dx V5+4x-x²

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Q: Use the zero or root feature of a graphing utility to approximate the zeros of f(x)= 2x³+8x² – 5x-7…

A: The objective of the question is find the roots (zeros) of the given function.

Q: Simplify the expression. sec @ — csc ө 2) sec 0 sin 0 – cos 0 csc 0

A: Simplify the expression

Q: Find the area under the curve y =3x2-2x from x= 1 to x =5.

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Q: y =x, 4x + y =12

A: Let's find.

Q: 4cscθ

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Q: If g(t) = 2t* + 3t2 - 5 find g(0) = a'(0)

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Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

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Q: If f(x, y) = 7xey + 7y Inx, then is given by: дудх O 49e5y + 7/x 35eby + 7/x O 25e5y + 7/x O 35e5y +…

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Q: amplitude: period: phase shift: 6.

A: Follow the procedure given below.

Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

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Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm. What…

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