dx , if we let u =V 25 – x² , then udu = - xdx. (A True B False

Q: *) = (" ; ') - Show that :

A:

Q: 1. Find the function f given that f'(x) = 2x and f(2) = 5. Is the function ƒ unique? Why?

A:

Q: Solve 8 sin (6x) = 3 for the two smallest positive solutions A and B , with A

A:

Q: Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high…

A: Solved below

Q: Find the equation of the plane that passes through the point (2, 1, 1) and is tangent to the surface…

A: We have to find the equation of the tangent plane.

Q: Which expression gives the length of the curve y = 4x from x=1 to x = 4 ? 4 (A) [ 4x°dx (B) |V1+4x…

A: Given query is to find the expression for length of the curve.

Q: Direction: Find the derivative of each of the following functions. Write your solutions on a…

A: We have to find the derivative

Q: Select the answer option that corresponds with polar coordinates (4,-120\degree). 90° 2 W/2 150° 45…

A: Option

Q: Solve the following equation for x (find all solutions between 0° and 360° Round answer to 2…

A:

Q: The data is known as follows: 7 4 5 P(x) | 48 | 100 294 900 | 1210 | 2028 10 | 11 13 Using Newton's…

A: We need to apply Newton's divide difference interpolation.

Q: B C a A b Note: Triangle may not be drawn to scale. Suppose a = 10 and b = 7. %3D Find an exact…

A: Given : a=10 and b=7.

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

A: total card = 52 A = card is black face = 6  B = card is black = 26 P(A) = 6/52 = 3/26 P(B) = 26/52 =…

Q: Consider the series Σ 1+ 6n n=0 If we let f (x) = then f f(r) dr %3D 1+6 x O is finite. O is not…

A:

Q: 1. Use the trapezoid (a) (b) (c) x In x dx; with (h = 0.1)

A: f(x)=x ln(x)   x 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 f(x) 0 0.10484 0.218785 0.341073…

Q: Write the complex conjugate of the complex number. Then multiply the number by its complex…

A:

Q: Find the slope of the line 3x-4y-10=0 О а. 4/3 O b. 3/4 О с. 3 O d. 4

A: Solve the following

Q: ep along the shore at a point 1400m from the nearest point?

A: Please refer to the image below

Q: x In y dy dx -1J

A:

Q: The rate of change in the number of urban transit vehicles such as buses and light-rail trains, in…

A:

Q: Find the Inetgral by substitution. 3x^5/sqrt(7-12x^6)

A:

Q: Given: tan z = - and z is in Quadrant IV. Find the exact values of sin (), cos (). and tan (5)…

A:

Q: 9. xInx dx

A: Here , we have given a indefinite integral in which two functions are given now we will solve this…

Q: 29,4 15.4 82.6 A graph of f is shown above. The numbers shown represent the geometric area of each…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: A Ferris wheel has a radius of 30 m, makes a full rotation in 3 minutes, and the axle stands 35 m…

A:

Q: 9=3 Sin 2X 2.

A: answer is in next step

Q: Find the radius of convergence and interval of convergenc of the power series. 17. E (-1)"4" x" yn…

A:

Q: し+1 n=1

A:

Q: Evaluate the line integral, where C is the given space curve.     Cxyeyz dy,   C: x = 4t,  y = 4t2,…

A: Firstly change the given line integral in terms of 't' and then solve.

Q: For each part, type your answer in If sin(x) then csc(x) = %3D If cos(z) = then sec(x) = 3. %3D If…

A:

Q: Find the critical points of the following function. 1 Inx f(x) =

A:

Q: | (3y + e?v=) dx + (4x + 4 cos (y°)) dy. Use Green's Thoerem to evaluate the line integral x² and x…

A:

Q: 4. (i) Use the parametric equations of an ellipse, z = a cos (t) , y = bsin (t), 0 < t< 2r, to find…

A:

Q: Find the principle solution of tan(4 – 4x)= 0. %3D

A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…

Q: 2x2+3x+1, if x<2 f(x)= 3x2 -2x-5, if x 22 Find the value of f(1)+f(2). O a. 8 O b. 7 O c. None O d.…

A:

Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

Q: and that angle A is in Quadrant IV, find the exact value of csc A V91 10 Given cos A : in simplest…

A: The objective is to find the exact value of cscA.

Q: Find the Taylor series about 0 for each of the functions below. Give the first three non-zero terms…

A:

Q: 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:

Q: x 3 Calculate the following values: n( – 6) = n( – 4) = - %3| п(3) — n( – 3) = n(4) = n(2) =

A:

Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

A:

Q: x' +6x, |2x-4 , x<a Find all values of a such that the function, g(x)=- is continuous xz a…

A: The objective of the question is evaluate the value for which given function is continuous…

Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

A:

Q: de 6) S 7) S(1 – sin? 3t) cos 3t dt 8) ſ tan (5x) sec?(5x) dx cos? e

A:

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

A:

Q: ax +3, if x<2 bx² +2, if x 22 f(x) =- It is given that f(1 and f(2) = 6. Find the value of f(a+b). O…

A: We will put all the values to find the values of a and b .

Q: b. g (x) 2.

A: Given query is to find the derivative of the expression.

Q: Use the graph to identify the points on the interval (a,b] at which local and absolute extreme…

A:

Q: Find real numbers a and b such that the equation is true. a + bi = 2+6i a = 3,6 = 2 a = 5,6 = 9 a =…

A: To find the values of a and b.

Q: Find fo° f(x) dx if S2 for x 2. f(x) =

A:

Q: Determine if the following series is convergent or divergent: 3n 7n – 2 - n=1 O Convergent O…

A: