Use substitution to evaluate sin2x√/4+9sin²x dx A (26/13-16) B 27(26√/13 (26√/13 – 16) C 27/7 √ √₁72³² (D ²-√7³

Q: Va. a. Approximate √0.5 with the fourth order Taylor polynomial for f (x) centered at 1. b. Using…

A: To solve the following problem

Q: 1. The volume V of a right circular cone of radius r and height h is given by Var²h. (a) Find a…

A: (a)V=13πr2hdifferentiating w.r.t  "r" ; where h is  constantdVdr=13πh . 2rdVdr=2πhr3

Q: Does the function satisfy the hypotheses of the Mean value there on f(x)=2x²-3x+1, [0, 2] O Yes, it…

A: We have to find the value of c.

Q: Consider the solid Q limited by the surfaces: And the planes z = x² + y²₁ z=4-2²-y² y√3= x, y = 0…

A: Given

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: We need to find log value.

Q: Evaluate fr.co x cos(x³) dx as an infinite series.

A:

Q: a) y = (x + 1)(x-1)(x + 2), y X

A: Graph of the y=(x+1)(x-1)(x+2) is shown below

Q: 9 Determine the domain and range of (gof)(x) if f(x)=x²_9 and g(x) = x + 3. OD: (x E R) and R: (-∞,…

A:

Q: If a manufacturer has these given total cost and total revenue functions. C(x) = 100x + 3000 and…

A:

Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. logg(98) (a) common…

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

Q: b) y= x(x-2)(x+1), y X

A: We have to find out

Q: The table gives the values of a function obtained from an experiment. Use them to estimate S² f(x)…

A:

Q: SHOW ALL WORK Change the polar coordinates, (r, 8) to rectangular coordinates, (x, y). (Leave…

A: Given the query is to find the rectangular coordinates.

Q: The graph of g consists of two straight lines and a semicircle as shown in the figure. y -20 y =…

A:

Q: car starts from a point at 2:00 p.m. and travels north at 40 mph. Another car starts from the same…

A: Given query is to find the rate of change of distance between the cars.

Q: d Calculate[ri(t) r₂(t)] and[ri(t) x r₂(t)] first by differentiating dt the product directly and…

A:

Q: 46. yz = ln(x + z)

A:

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

A:

Q: Calculate the higher derivative. (Use symbolic notation and fractions where needed.) d² dt² -8 cos²…

A:

Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve.…

A: To the find the rough estimate of area of region that lies beneath the given curve and the exact…

Q: If administrative assistants at Bookworm Publications make phone follow-ups after textbook reviews,…

A: We need to find sales.

Q: Determine the area of the shaded region bounded by y = -x² + 6x and y=x² - 4x. ... The area of the…

A:

Q: If "6 fº 181 f(x) dx = 37 and 6 √° g(x g(x) dx = 12, find 6° 1² [3f(x) + 5g(x)] dx.

A:

Q: Express the limit as a definite integral on the given interval. x₁* lim Σ -Ax, [1,4] n10 (x)² + 7 i…

A:

Q: - · Find y(0-3) for y` =X²+y², y(0)=1 h=0₁1

A:

Q: The position function of a particle is given by s = 2t³ - 9t² - 100t, t> 0. where s is measured in…

A:

Q: Evaluate Limit= Hint: Use the power series expansion of cos(x). lim cos(x) − 1 + ²/ 14x4

A:

Q: Use synthetic division to find the quotient and the remainder. (3x4 -8x3+8x-5)÷(x-2) (3x4…

A:

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

A:

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r²h. (a) Find a…

A: The derivative of f at x=a is            f'(a) = limh→0 f(a+h)-f(a)hthe instantanrous rate of change…

Q: Solve the equation. 3) 49x874x

A:

Q: The function s(t) describes the motion of a particle along a line. s(t) = 16t-t2 C (a) Find the…

A:

Q: If m≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

A: we have to find the smaller value and larger value

Q: Find the first four non-zero terms of the Maclaurin series for f(x) = sin(x²) cos(x²).

A:

Q: Express the limit as a definite integral on the given interval. n exi lim -Ax [0, 9] n→∞ i = 1 6 +…

A:

Q: Find all exact solutions on the interval 0 ≤ 0 < 2T. 4 cos(8) = 2 8 www

A:

Q: y-1)dx + (5-2x-y)dy = 0; y(0) = 0, implicit s

A: answer is in next step

Q: Evaluate the following indefinite anti-differentiation   ∫ 5xdx

A: ∫5xdx=5∫xdx=5×x22+C=5x22+C

Q: Let f(x) = 2x³7x+3 Use the limit definition of the derivative to calculate the derivative of f:…

A:

Q: QUESTION 8 If you save $270 per quarter for retirement in an account that earns 8% interest per…

A: After 38 years interest.

Q: Ordinary differential equation ( ey *sin(y)-2y*sin(x) )dx+( ex *cos(y)+2cos(x) )dy = 0

A:

Q: Use the fundamental identities to fully simplify the expression. cot(x) cos(x) + csc(x) sin²(x) In…

A: Please see the answer below.

Q: 6. Without graphing the function on your calculator, find the limit. Use L'Hopital's Rule where…

A: Solution of the problem as follows

Q: ∫y csc3y2 cot3y2 dy

A:

Q: STU વપ (y-1) Ty

A:

Q: Factor and find the zeros of the following polynomial and write its behavior

A:

Q: 2. Evaluate the following integral, or determine that it does not converge. 126 2e dr 1+ ²z

A:

Q: b Write the following expression as a single definite integral of the form f(x) dx. [²Rx) dx =…

A:

Q: Solve the polynomial equation by factoring and check the solutions graphically. x4-9x3+14x² = 0…

A:

Q: Find the (a) horizontal and (b) vertical asymptotes, and (c) graph the rational function. f(x) = 7x…

A: Given function f(x)=7xx2-16