4x3-х dx х2-х-30

Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. sinh(x) lim…

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Q: Plot the following functions over the defined

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Q: Find the most general antiderivative of the following functions. (d).r(θ) = (sec θ − tan θ)^2

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Q: Find the scalar equation of the plane that contains the line x+1 -3=. and is parallel to x+2=+4_:+2…

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Q: An identity matrix is represented by.... а. Нн-1 b. HH-1H O c. H-1H

A: Given problem:-

Q: Question Given the triangle below, find the angle 0. 19 10 Give your answer in radians rounded to…

A: We have to find angle theta in radian

Q: 4x3/2-1 (a) f(x) = (b) g(x) = 3e" +sec? a h(x) = 8 sin x (c) 4 1+x? (d) f(1) = 5 cos x V1-a2

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Q: The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption…

A: average blood alcohol concentration is given byC(t)=0.00225te-0.0467twhere t is in minutes and C is…

Q: Find the amount of an annuity with income function c(t), interest rate r, and term T. (Round your…

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Q: Find the magnitude of the resultant force and its angle from the positive x-axis 200 N 300 N 61 a. |…

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Q: - 1n then - If 0 %3D - 3. sin(0) = %3! cos (e) = %3! Give exact values. No decimals allowed!…

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Q: y A y = f(1) 4. The graph of f(x) is shown in the figure. Let A(x) = Lf(t) dt and F(x) = S* f(t) dt…

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Q: The vector parametric form of the tangent line to r(t) = (3t², ¿, t – 1) at t = -5 is

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Q: Use the requested method to approximate the definite integral. Use the method of right Riemann sum…

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Q: 00 Does the series (-1)n+15+n" 5 converge absolutely, converge conditionally, or diverge? n=1 Choose…

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Q: D03 Mathematics for Social Sciences I | S2 21/22 courses / ECON1003 | S2 21/22/ General / Graded…

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Q: The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each…

A: To find the given integration using the given graph.

Q: 2x2 Given the rational function f(x) x²+4x-12 a) Find the vertical asymptote(s) if any. b) Find the…

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Q: Consider the equation below. = 9 cos2(x) – 18 sin(x), 0 < x < 2n (a) Find the interval on which f is…

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Q: Find f. f"(e) = sin(e) + cos(e), f(0) = 5, f(0) = 4

A: f''(θ)=sin(θ)+cos(θ)Integrate with respect to θf'(θ)=∫sin(θ)+cos(θ) dθ f'(θ) =-cos(θ)+sin(θ)+C1Again…

Q: Evaluate the following integral by changing to cylindrical coordinates: 4–y2 3 xz dzdrdy. x²+y2…

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Q: b. f(x) = xe-*, g(x) =; -1<x< 5. Show in a single space. 2x

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Q: use residues to evaluate thedefine utral de

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Q: One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 35…

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Q: x =t° +1, y= t -t d'y b) Find dx? Show all your work.

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Q: Use linear approximation, i.e. the tangent line, to approximate 27.2 as follows: Let f(x) = Vx. The…

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Q: 1 dx xVx² – 9

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Q: c) Suppose fand g are integrable and that S(x)dx = 4 , [ f(x)dx= 6 , [ g(x)dx= -2. Find the…

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

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Q: 2. Find the second degree Taylor polynomial of g(x) = V1 – 3x about 3, then use it to approx- imate…

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Q: A particle moving in a planar force field has a position vector x that satisfies x' = Ax. The 2x2…

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Q: Question In AABC, sin A = , sin B = . and a = 9. Find the side length b. %3D Select the correct…

A: Given data:- SinA = 1/3   SinB = 1/4 a= 9 FInd:- Side length of b

Q: 4x2 + 21x + 54 x2 + 6x + 13

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Q: x + 1 dx x(x² + 1)

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Q: Let P be the point with Cartesian coordinates (2, 1, 4) and Q be the point (4, 3, 10). a. What is…

A: We have to solve all three parts

Q: 2. Simplify the following: 2 (m²)? ii) (62n* 1 ) ( 9 2n) (35+1 ) (2 2) i) ii) (2m³) 2 (3m) 2

A: Topic:- simplification

Q: Hence, determine whether the function is continuous at x = 2x. ) Find the value of k such that the 5…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: The given equation is: 5x2=61-x   As we know that; logaxb=b·logax ; x≥0

Q: The function T(t) = 43.6 + 5t - 0.3t2, 0 sts 6, gives the temperature T as a function of time t.…

A: Given query is to find the average temperature for the 6 hour period.

Q: 2. Find the value of xy dx + Vy2 + 1dy, where C is the path shown on the graph below. (Hint: Use…

A: We have to find the value of  ∫Cxy dx + y2+1 dy. Given the path C is

Q: If 9x-1 5. Solve for x. =

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Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: Given

Q: Find the gradient of the function at the given point. In(x2 - y) - 2, Z = (2, 3) Vz(2, 3) Need Help?…

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Q: A surveyor in a helicopter is determining the width of an island, as shown in the figure. (Round…

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Q: 9. Make an open box from a square cardboard with sides measuring 36 cm by cutting equal squares out…

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Q: For what value of x does the function f(x) =x³ 4x attain the absolute minimum %3D in the interval…

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Q: Evaluate the line integral F. dr, where C is given by the vector function r(t). F(x, y, z) = (x +…

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Q: Determine the one-sided limit of the function f in the figure at the given point. 1- -4

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Q: Q50 X( Inx)

A: = Let , In x = log x = 7 ∫ dx / x logxx let , log x = t          x = et       1/x dx = dt = 7 ∫ dt /…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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