you know that a sphere has the equation of  x^2 + y^2 +z^2 -6x +4z =3 are the following points inside, outside, or on the sphere? a) (1,1,1)      b) (2,2,4)      c) (3,4,-2) show all your work clearly.

Q: Let f(x) = 11x³ over the interval 0 ≤ x ≤ 1. Set up the integral for the surface area generated by…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 19. f(x²+2x-4) dx 20. f, x100 21. (-²+31) dr 22. ·S' (1-80² +) 16v¹) du 100 dx

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Q: (e) Separating out the K and J terms, you now have a term of the form and bottom by a constant you…

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Q: Set up the formula to find the balance after 12 years for a total of $3,000 invested at an annual…

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Q: so what is the solution for 23,24

A: The given integrals are;23) √x , limit from 1 to 924) x-2/3, limit from 1 to 8.

Q: State the domain for the function f(x) = log₁(x - 5) + 4: O (5,00) O (-00, 5) O (-00,00) (0,00)

A: We have to state the domain for the function

Q: Use logarithms to solve the equation for t. 20 1 + 5e-0.6t 10

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Q: 2 Find the derivative of the function. f(x) = (2x³ - 5x² + 4)³ f(x) = √√√5x + 1 g(t) ƒ(0) = = 1 (2t…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Question 1 Let 0 = cos¯¹(-³) where 0 ≤ ≤. Find the exact value of 0.

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Q: Calculus [The following integral can be solved in several ways. What you will do here is not the…

A: By using the trigonometric substitution , to evaluate the following integral.

Q: Evaluate. Assume u > 0 when In u appears. # S (In x) 4 dx X

A: Given :- To Evaluate :- The given integral.

Q: 4. Given two unit vectors, m and ñ, and the angle between these two vectors is 70°, calculate (6m +…

A:

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A: Component form of the velocity of the airplane:The component form of the velocity of the airplane…

Q: The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at…

A: Given, the graph of the function f(x). We have to select all the true statements about the…

Q: Find any two non collinear vectors on the plane x-y-3z +6=0

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Q: Find the derivative of y = (cos x)* y' - -x sin x y! = COS X + In (cos x)| (cos x)* y' = x(cos x)x−¹…

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Q: The statement 972 92=27 0/=log, 27 3 1027= log²/1 O9-108272 O 27=log, 9 translates into which of the…

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Q: In a baseball game, a batter standing at home plate sees the second baseman standing on the baseline…

A: In a baseball game, a batter standing at home plate sees the second baseman standing on the baseline…

Q: Find the sum of the infinite geometric sequence. n 4 i=1 5n-1 Σ If the answer is not an integer,…

A: To find the sum of the following infinite geometric sequence.

Q: Use Lagrange multipliers to find the points on the cone z² (x, y, z) = smaller z-value larger…

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Q: Find the instantaneous rate of change for the function at the given value. f(x)=x² + 4x at x = 2 The…

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Q: 9. g(s)-f(t-12) dr 11. 10. h(u) = dr dt F(x)=√1 + sect dr [" Hint: f√/1 + sec t dt = -√ √/1 + sect…

A: Let f be a continuous real-valued function defined on a closed interval [a, b]. Let F be the…

Q: (b) Describe the relationship between each set of planes, and solve the system if possible: (i)…

A: Here we have given the system of planes consists of three equations:Now, comparing the coefficients…

Q: Describe how these planes intersect. If they don't intersect explain why. T₁: 5x 10y + 20z - 10 = 0…

A: The equations of the given planes are,REQUIRED :We have to find whether the given planes intersects…

Q: qual length, and let c₁ = 0.5, c₂ = 1.4, and c3 = 2.5.

A: Formula for the Left Riemann sum is where

Q: answers

A: Solving the problem

Q: 1) Consider the function z = x² sin(ny) +; xy² a. Find the partial derivatives. b. Find the tangent…

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Q: Calculate the integral R f(x,y)dA for f(x, y) = 10-4x²y and R: 0≤x≤ 2, -1 ≤ y ≤ 1.

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Q: 7-18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7.…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: 3. Differentiate sin a 1+cos z with respect to x and hence, find S -dx 1+cos a

A: We need to first differentiate then solve integration.

Q: d the derivative dr do for r 2007 cos 0 =

A: We find derivative value.

Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If v doesn't…

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Q: Question 3 Find all possible triangles where A = 40°, the length of the side opposite A is a = 18,…

A: To find all possible triangles where , the length of the side opposite  is , and the length of the…

Q: It is theorized that a particular culture of bacteria increases according to the model P(t) =…

A: Given

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Q: A large tank is filled to capacity with 400 gallons of pure water. Brine containing 2 pounds of salt…

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Q: At which of the five points on the graph in the figure are first and second derivative both…

A: We need to choose the point at which both 1st and 2nd derivative is positive.

Q: 1. Given the points A(2 -1, 1), B(2, 3, 0) and C(4, 3, -4), find the vector, parametric and…

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Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

A: (2k, 3,k+1)*(k-1, k, 1)=(1,-2,2)Find the value of k.

Q: First make a substitution and then use Answer: integration by parts to evaluate the integral [2 sit…

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Q: 4x³-13x²+3x+2 x²-4x+3 dx

A: I=

Q: For which of the following graphs, the limit exists? I. Graph of f Only (III) (I) and (III) only…

A:

Q: e (25x) lim e x→2+

A: Limx-2+ e(5/(2-x))

Q: Evaluate f(4) for the function f(x)= O 16 32 19 √(x)=(1) *** 32

A: given function f(x)=(1/4)x-2for function f(4) we put the x=4 in the given…

Q: 2- Chang the order of integration and evaluate √2-x2 X √x2 + y²

A:

Q: 6. Given D(4, 0, 9), E(3, 7, -8), and F(-2, -5, 5), determine a) DF b) DE+EF (exact value)

A: Here we have given coordinates of points .Note 1:The coordinates of the two points in order to write…

Q: Evaluate W(3,-1) for the function W(x,y) = 4x^2 + y^2

A: W(x,y) = 4x2 + y2Find W(3,-1)

Q: Find the value of x that will make perpendicular to . Give at least two decimal places when…

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Q: Evaluate the integral. (Use C for the constant of integration.) 5 dx 49x² - 1 √x².

A: The given integral is: