Consider vector v = (1,2,2), point A(2,5,4) and point B(-1,5,1) - In center-radius form, find an equation of sphere with points A and B as endpoints of a diameter. In radians, determine the measure of the angle between and the vector AB.

Q: Given Cost and Revenue functions C(q) =q³-9q² +57q+5000 and R(q) = -3q² +2600q, what cost is…

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A: We have determine the integration

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A: We have to determine the integral

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A: We have to explain the term f'(x)=0.

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Q: 9. ydx - 4xdy = y'dy; y(4) = 1 Ans: -y²=

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Q: Solve for the derivatives of the following functions with complete solutions. a. y = ln (5x²) b. y =…

A: Answers provided by you have mistakes only (c) and(d) matches.

Q: Let (t) = 5 cos(t) and y(t) = 3 sin(t) All answers should be decimals rounded to 2 decimal places.…

A: Applications of differentiation

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A: We know that, Suppose that x=c is a critical point of fx then, If f 'x<0 to the left of x=c and f…

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A: Let's find initially present bacteria.

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A: Given :∫dxx49-x2

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Q: In evaluating 5 dx , is same as evaluating_lim_(in(f(x))). Determine the value of f(x) if x=4.6. -

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Q: please show step by step solution on how to get the circled part with complete explanation. do this…

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Q: 2. Given f(x, y) = 12x2x³ + 3y² + 6xy. (i) Find critical points of f. (ii) Use the second derivative…

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Q: If an investment grew to $13,500 in 3 years and the interest amount earned was $1,531.34, calculate…

A: To find out the compound interest.

Q: II. Find the sum of the following convergent series. lim = = = lim lim 0-2 1 [tan ² (2n-1) - tan²¹…

A: Given problem:-

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A: SOLUTION-

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A: Given,      x-132x-2=0

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A: Is multiple questions are posted we are allowed to solve only 1st question...so please upload again…

Q: An investment of $18,000 was growing at 6.5% compounded semi-annually. a. Calculate the accumulated…

A: In this question we have to find the following given Compound Interest.

Q: All continuous functions are integrable. A) True B) False

A: Solution:

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A: Topic = Function

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Q: Which of the following is not true? A None of the given choices .3 dx dx S₁ in (x²) B lim S c+1+³c…

A: Let's solve.

Q: A) Link between plane and line in the differentiation. 7) Find the aquations of alono pocinh the…

A: Link between line and plane.

Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

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Q: The circle of radius 1 centered at (-3, 4,1) and lying in a plane parallel to the yz-axis is a)…

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Q: Find the indefinite integral: 10sin 3x - 15 cos 2x + 6 e5x + C O 90sin 3x -60 cos 2x + 150 e5x + C…

A: 30∫cos3x+sin2x+e5xdx=30· ∫cos3xdx+∫sin2xdx+∫ e5xdx=30·…

Q: Using trigonometric substitution to solve x-2√4 – x²dx = f f (0)d0. What is (a − b + ²)? A B U D I…

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Q: 1. √2x+1 -15 2. So √x+1dx -0.5 3. 5x(1-2 4. fx√x-3 5. fx √x+1

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Q: Trapezoidal method Quar x³dx for n=6 is equal to Blank 1 ("

A: Please refer to the image below

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Q: Find the area enclosed by r = = √2 sin 0 and r2 = cos 20.

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Q: sin(x) L²₁(x² - 4x² + 3x)2 Jax-0 |dx=0 1 (1+x²)² (A) True B) False

A: We have to find the integral

Q: Evaluate the definite integral number 3 using substitution

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Q: olve for the general solution using the Power Series. The answer was ready given, you just have to…

A: Please see the below picture for detailed solution.

Q: Using Trapezoidal method spaces) (x+2)² dx for n=4 is equal to Blank 1 (use 2 decimal places with…

A: Using trapezoidal method, integration value is evaluated.

Q: vy B. Find the derivative of function f(x, y, z) = 3e* cosxy + ex² + Inzx at point P(1,0,) in the…

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Q: Given f(x,y) = ex cos y, Evaluate fx(2,0)

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Q: x6 cos(x³) A) True B) False |dx=0

A: We have to check by even or odd function

Q: Find the exact solution for e^2x-6e^x-72=0  If there is no solution NA x=___

A: We have to find the exact solution for  e2x-6ex-72=0.

Q: Find a particular solution of ds 1 π = cost determined by s=3 when t == = cos dt 3 ✓

A: Please see see below picture for detailed solution.

Q: Using Simpson's method 1 √xdx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: using the simpson's method ∫01xdx for n=4.

Q: In evaluating x=3.98. dx x²-9 is same as evaluating lim (In(f(x))). Determine the value of f(x) if…

A: First we evaluate f(x) using substitution

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A: We have to solve differential equations

Q: Find the area bounded by y=√x and y=- ·x 2 (A) 4/3 B 2/3 C) 10/3 D) 5/3 E None of these

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