25 Simplify sec(arcsec 1/2 ). no solution -1/2 1/2

Q: 5. Use differentials to app. .. the value of V(3.01)² + 2(0.99) – 3 in four decimal places. o 5.…

A: I am attaching image so that you understand each and every step. Let x= length of box y=width of box…

Q: Use Green's theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: Use power series to estimate arctan .2 correct within -10-. Leave your answer as a simple fraction…

A: The power series for arctanx is x-x33+x55-x77+..... For a estimate within 12·10-5, we'll have to…

Q: I. Evaluate | 4x² + 4x + 5 dx

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Q: 2. Given if 0 b Do the following: a. Determine a value of b so that f is continuous at r = b. b. Is…

A: Given a piecewise function.

Q: 4. S ( 12 x³ + 15 x - 20 ) dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Use polar coordinates to evaluate the integral er+y dA R where R is the region that lies in the…

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Q: dy Solve for the general solution of the differential equation (ax+by+c)² where a, b, c e R dr and…

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Q: The​ half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

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Q: The area bound by the curve y^2 = 12x and the line x = 3 is revolved about the line x = 3. What is…

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Q: You are building a right-angled triangular flower garden along a stream as shown in the figure. (The…

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Q: Find the general solution of ydy/dx =2/(3x2). a. y?/2 = -2x/3 + C O b. y/2=-2/3x + C O c. y/2 = 2/3x…

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Q: Find a formula for the total maintenance cost during the first x years. (Total maintenance should be…

A: Follow the procedure given below.

Q: 15х2 — х3— 43х - 19 The integral | can be rewritten as (x + 1)²(x² – 6x + 13) Ах + B C D lax² + bx +…

A: Follow the procedure given below.

Q: Compute the derivative of the given function. f (x) = 2 ln x – vT

A: Given fx=2lnx-x To find the derivative:

Q: 2) Find the equation of the tangent line to the curve y = cos(2x+ at x =

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Q: Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y = x and y = x2.

A: Given problem:- Use Green's theorem to evaluate ∫c (xy + y2 )dx + x²dy  by the curve y = x and y =…

Q: ds ds Draw a dependency diagram, and write a chain rule formula for др where s = g(x,y,z), x =…

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Q: +00 dx -Evaluate the improper integral x (In x)²

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Q: r1/2 x2 dx is F(b) – F(a), where Fla) and F(b) are real numbers. What is the value of F (a)? The…

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Q: cos (x) tan (x) dæ

A: I have stated the used formulas in the solution

Q: Compute the determinant of 11. 0260 0 0 3 7 8 00 4 Answer: enter number

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Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: dx Vx²+2x+5

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Q: Compute the derivative of each function. f(x) = [sin(4² + x)] [cos(x* + 4)] %3D

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Q: Use substitution to evaluate the integral. s1/5 sin(s/5 - 2)ds 1/5 6/5 sin(s - 2)ds = %3D

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Q: Using Trigonometric Substitution  ∫ dx/ (x^2+x+1)^(3/2) find f theta

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Q: Evaluate the iterated integral: e' dydx

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Q: Show that the following are equal using set identities. Provide the correct solution with the name…

A: The left side is: C∩C-B∩C∪A∩B-B∩C-A We first simplify inner parts:  C-B∩C A∩B-B∩C

Q: 4 x² +4x-5 dx= find the new limits of integration. Using Trigonometric Substitution f(e) de x+2 TT O…

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Q: Find the derivative of the function. 5 + 6x - 4/x y% =

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Q: Using Integration by parts, considerS xsec-(3x)dx = uv – f v du, then find uv – S v du

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Q: d²y and dx2 Find dy then simplify whenever possible. dx 1) y = 3t5 – 2t x = 4t3

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 8) Confirm that the stated formula is the linear approximation at x =0 %3D (1+x) =1+15x

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Q: (t – 1,t 2

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Q: Use logarithmic differentiation to find the first derivative. Enter your answer without fractional…

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Q: 8. Let y(x) be the solution of the differential equation ry-y-Ina such that y(1) 1. Find y(2). A…

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Q: 10) For y= vx+8, use the differentialE dy to approximate Ay when x changes from x =1 to x 0.97

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

Q: ) Let R={(x.y): 0sx,Osy, +ys4) be enclosed region. The result of the following double integral (by…

A: Given region R=( x,y) : 0≤x, 0≤y , x2+y2≤4

Q: 16. Follow (and show proof) of each step below to estimate the area under the curve f(x) = 3 cos x…

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Q: A clothing manufacturer has the marginal profit function MP(x) = 40 - 0.02x, Os xs 100 (in dollars…

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Q: 2) Find the cartesian eauation for the olar curve r=tan e sece ×ニy )yニxと 2.

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Q: x² - dx ? Using trigonometric substitution, what is x3

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Q: x³ + 6x² + x +2 fx-1 ax + In{(x + 1)*(x² – x + 1)| +- 2 Tan Ve The resulting integral of -1 + C,…

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Q: 2x4 +3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x)? - B + E |dx x+1'…

A: we can reduce into partial fraction

Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: By using rectangles whose height is given by the value of the function at the midpoint of the…

Q: 7. S 8x³ e** dx il ww be 7dx 8. J sec x esinx bne

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

Q: The curve with polar equation 24 3 cos 0 + 4 sin 0 is a line. Find the slope and the y-intercept of…

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Q: ] Let D be the region bounded between x + y = 4 and x + y = 9 that lies within the second and the…

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