Use the given velocity function and initial position to estimate the final position s(b) Round to two decimal places. (t)=3(1-³), 5(0)=2, b=5

Q: 4. What is the SECOND derivative of the given function? * y = 3x³ - 2x² + x - √ y" =9x² - 4x + 1 y"…

A:

Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 7A…

A: Area of the Rectangle =(Length)(width). Perimeter of the Rectangle=2(length+width).

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Q: - x2 x² - 2x - 1 (x − 1)²(x² + 1) da

A: Given problem:-

Q: 10. 11. 12. 13. 14. 15. - y = ²7 x − 8 As x 16. by Y by lim 25 2+6 LIMIT VALUE: lim #--1 LIMIT…

A: We have to solve above question  As per given bartleby guidelines we have to solve 1 question if you…

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Q: Determine the angle between the two lines: 1₁: 7 = (1,0) + t(0, —2), t ¤ R x+2 y-3 and 1₂: *+² = −³.…

A: Given

Q: Find each limit, if it exists. +1 (a) lim x→∞0 x4 5 (b) lim x00x³ +1 5 (c) x³ + 1 lim x→∞0 x2 - 5

A:

Q: h(x) = f(gx)) calculate the following derivatives using the table a) h'(3) b) h'(2)

A: Given

Q: Find the present value of a $8,000 annual income stream if it is invested immediately as it is…

A: Compound continuously A=Pe^(rt)

Q: 2. y = x² sinx What is the appropriate formula? dy Solution:

A:

Q: The f xcos x² 1-sin x2 dx is

A: Given :

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A: A conic section with a focus at the origin, eccentricity e, and directrix at x=±p has polar…

Q: 11. Given the function below, what is its derivative? * f(x) = 2x - √x f'(x) = 2x C f'(x) = 2 - a 1…

A:

Q: Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below. 0 2 ਨੀਲੀਆਂ 41…

A: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

Q: Write the conjugate of √a +3

A:

Q: Evaluate the following integrals. 2. √x* +5x³+ x+5x³+20x+16 x(x²+4)² dx

A: Solving

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Q: Determine whether the improper integral diverges or converges. S™× x²e-x dx converges diverges…

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Q: Find an equation in rectangular coordinates for the surface represented by the spherical equation. 프…

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Q: 4. y ln x + xesin y = 0=

A: Given

Q: Find each limit, if it exists. 6-7x (a) lim (b) (c) 000 11 x-∞ 6x³ 6-7x lim x- 6x-2 6-7x² lim x-00…

A: Part a,Given,            limx→∞6-7x6x3-2

Q: Let m(x) be the slope of the tangent line to the curve y = 2x³-6x² + 3x at the point (x, y). Find…

A: Given: y=2x3-6x2+3x

Q: . Given the fx²dx, which of the following is the integrand? C. x² A. 0 B. 2 D. dx

A: To determine what is integrand.

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A:

Q: The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial…

A:

Q: Find the area of the triangle formed by the functions using definite integrals f(x) = 2x+4 g(x) =…

A:

Q: d. √ 1² ( 12/7) dx 3

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Q: Determine whether the improper integral diverges or converges. 4 00 1.00 cos(7x) dx 10 O converges…

A:

Q: Hi! Is this statement true or false? And why?

A: A detailed solution is given below.

Q: 2) √ x¹ (5-x²) dx

A:

Q: 3 Find f such that f'(x) = - √x f(x) = f(1) = 12.

A: Solve for the f(x)

Q: 2. x*+5x³+20x+16 x(x²+4)² √x*+5x² dx

A: First of all, we find the partial fraction decomposition of  x4+5x3+20x+16x(x2+4)2

Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Question 10 Given: y = xcos (x); Find y'". O(E) None of these Oy" xsin (x) + 2 cos(x) Oy" asin (x) -…

A:

Q: X 1.-+ J y = 37ab2, y" X

A: Let's find.

Q: 9x Area bounded by the curves y=e*, y=e³x, x=0 and x = ln2

A:

Q: Consider a triangle ABC like the one below. Suppose that A= 116°, C=36°, and a = 19. (The figure is…

A: A triangle ABC has A=116°, C=36°, and a=19

Q: nd f such that f'(x) = 2x² + 9x-9 and f(0) = 8. x) =

A:

Q: 5. What is the derivative of the given function below? * x² + y² = xy dy dy dx dx Option, dy dx = =…

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Find a critical point tid b.) relative maximum value valve C.) Relative mini mom d.) inflection…

A: Note :-  Here Equation of g(x) = 2x2-9x2+27 =-7x2+27 Or g(x) =2x3 -9x2+27  So we solve this problem…

Q: PH Given: = ln(x²y-1); Find dy/dx.

A: Given xy=ln(x2y-1)

Q: Find the future value of a $20, 000 annual income stream if it is invested immediately as it is…

A: Hee, use the formula: FV=erM∫0MS(t) e-rt dt

Q: Determine whether the improper integral diverges or converges. Sº cos(10x) dx converges O diverges…

A:

Q: The f2e4t sec2e4t dt is {A} = = tan e 4t + C {B} = sec³e4t + C 16 {C} /e4t tan e4t + C {D} et…

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Q: Given: 6x³2x²+3 dx. Using integration by parts (udv Svdu) and dv = uv - letting u= f(x), dv= 3 g(x)…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

A: Here, ∫R∫yx2+y2dA is evaluated where R: trapezoid bounded by y=x, y=8x, x=1, x=8 which is:

Q: Find the curvature and the radius of curvature at the stated point. r(t) = = 11 cos(t)i + 9 sin(t)j…

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Q: Evaluate the iterated integral. LP'&x+yaxay (x + y²) dx dy

A: