Determine the time required for the bacteria concentration to be reduced to 5 using Newton's method. Compute and fill the table of results c = 70e-1.5t + 25e-0.075t

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A: We will solve the given integral using simple Integration rules.q

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Q: Which of the following equations correctly states the Product Rule of Differentiation? dy = = f(x)g…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

A: To Find:Set up the integral for the work done in pumping the content to a point 3m from the top of…

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A: This question is based on finding equation of plane to the given surface at a point.

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A: We have  slove above integration

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Q: /= 0 sin√xcos√x X Зл A 256 Зл B 512 3 C 256 D) None 3 E 512 -dx is equal to

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Q: 4. Find the domain of the following functions: 10 (a) H(x, y, z)= 1+x² + y² +4z² (b) K(w, x, y,…

A: A detailed solution is given below.

Q: 6. ၂ 3z+1 -4) -dz

A: ∫3z+1(z2-4)2dzExpand:=∫3z(z2-4)2+1(z2-4)2dz=3∫z(z2-4)2dz+∫1(z2-4)2dzNow solving…

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Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, ³-4x = 1 in…

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Q: (x - 8)dx x (x + 5)² X

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Q: If F(x)=2x^2+5x+2,then F'(x)=4x+5.Thus,if f(x)=4x+5,then f is the___of F and thus F is a/an___of f.

A: F(x) = 2x^2 + 5x + 2 F'(x) = 4x + 5

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Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

A: We need to find velocity.

Q: Problem 1: Use the elementary row or column operations AND cofactor method to find the determinant.…

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Q: 5. Answer the following questions. (a) Sketch a graph of f(x) = |2²-9 and find the points c such…

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Q: Using chain rule, what is the (2x-¹-3x)³ ? da O 24+108x²+54xª+81x6 x4 -24+36x²+54x4 -81x6 x4 O…

A: The objective of the question is find the derivative .

Q: f(x)= (3x²+2x+1)

A: Topic = Derivative

Q: 2x²+x-2 (x+1)(x²+1) None 5 2 2 5 4 if f If A (B) C D E 1 5 | + 4 -MA+ x+1 -dx = А B (2x) + C x²+1…

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Q: D. Calculate volume enclosed by (z = 8-x² - y²) and (z = x² + y²), (Use order dy dz dx). وكنت طول

A: Given

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A: Solution of given question is written in below steps.

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A: Given

Q: Suppose the functions heas and reas are defined follows beas = 5x=2x² rexlx23x4 X+2 -2 Write down Oh…

A: We have to solve the given inequalities.

Q: The integral O [se Ss S S sec²0 de 1+ tane sece tane de sece - 1 O x dx x²+√√x²-1-1 sine de 1+ cose…

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Q: D. Calculate volume enclosed by (z = 8 - x² - y²) and (z = x² + y²), (Use order dy dz dx).

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Q: əx ду Əw aw x+y)+x²³ sec show that x +yay əx Ex: If w = y³ tan-¹ x²-y², x4-2xy³ Lemma: If w = f(g(x,…

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Q: X-1 (x - 2)² 5. S dx

A: We have to evaluate the integral.

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Q: y = (2x − 1) (x + 4)

A: To evaluate and to solve the function using the product and quotient rule of differentiation.…

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A:

Q: If " (x+5) dx = 14, then the value of b is equal to A) None B 2 (C) 4 D -3 (E) 3

A: Given

Q: QUESTION 17 Find a MacLaurin's series centred at x = -2 for.f(x) ==

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Q: dx 2√√x + √x

A: Solution of given question is written in below steps.

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A: We need to find area.

Q: 50 50 ["*" (ax² + hx² + cx) dx = 2b ["* x² dx -50 0 (A) True (B) False

A: As we know that; The Sum Rule; ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx  where a is constant.   We…

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Q: Timothy heard that he could triple his money in 27 years if he invested it in his friend's business.…

A: To find the compound interest.

Q: S₁ 2 63 Evaluate: A 16 B 105 C) None 16″ D 105 2π E 63 sinxcos³xdx is equal to

A: We can find the integration as below

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Q: If ["(x+5) dx = 14, then the value of b is equal to A) None B 2 C) 4 (D) -3 (E) 3

A: Let's find given integral.  We there is lower limit not given but it only possible 1.

Q: Q1/B) Find the length of the cardioid curve: r = 1 + cose

A: To Find : Length of the cardroid curve r=1+cosθ