2 Find the point on the sphere x²+ y²+z²=4 farthest from the point (1,-1,1)? ans.i- 2 (금) v i

Q: Find f'(x). f(x)=-6 Inx+13x² -7

A: The objective of the question is to find the derivative of the function f(x) = -6 ln(x) + 13x^2 - 7.

Q: Find all the first and second order partial derivatives of f(x, y) = 3 sin(2x + y) - 3 cos(x − y).…

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Q: Find the value of the improper integral fox dx 1 + x2 a. πT O b. C. d. -π Not in the list П 2

A: Option (d) is correct π/2 Explanation:Step 1:- Step 2: Step 3: Step 4:

Q: A = 「 ; 8

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Q: I need help with 45.

A: (45) We have proved that, f(a+b)=f(a)+f(b)Function : f(x)=x2−1 Example : f(2+3)=f(2)+f(3)⇒24=11So,…

Q: Type an ordered pair. Use a comma to separate answers as needed. Round to the nearest hundredth as​…

A: The objective of this question is to find the point(s) of intersection of the two functions f(x) =…

Q: To complete the process legible

A: To prove the Second Derivative Test for a strict local maximum. We'll assume thatf:Rn→R is a…

Q: 15. Sketch the graph of a continuous function f with: (a) f(1) = 3, f(1) = 0 and the point (1,3) a…

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Q: Given the function f(x) = 4x3 sin(x) — 1, has a solution a in the interval (0.7, 0.8) given in…

A: (a)A=41​,B=43​(b)x2​=0.7612x3​=0.7673Explanation:Step 1:Step 2: Step 3: Step 4:

Q: A company knows that the unit cost C and the unit revenue R from the production and sale of x units…

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Q: Use the graph of the function f shown to estimate the indicated limits and the function value.…

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Q: For the given cost function C(x) = 44100 + 300x + x2 x², First, find the average cost function. Use…

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Q: Evaluate the integral using partial fraction method (3x² + 2) dx (x+2) (x²+4)

A: The given integral

Q: b) Solve the following first order differential equation 2+ y = y³ (x-1)

A:

Q: Do not round until the final answer. Then round to the nearest hundredth as​ needed

A: So the required answer is t=25.60 [rounded to the nearest hundredth]Explanation:Given that…

Q: Do not round until the final answer. Then round to the nearest hundredth as​ needed.

A: Answer:  t≈54.93Explanation:Step 1:

Q: sine and cosine to which variable it should correspond to?

A: Clockwise Motion: If a particle moves clockwise around a circle, the angle it makes with the…

Q: A company that services a number of vending machines considers its income as a continuous stream…

A: To find the income from the stream over the next 8 years, we need to integrate the function f(t)…

Q: 2. Using the appropriate method taught in class solve the following questions. a) i. Find the…

A: Question No. (a):(i) To find the general solution of the following differential equation.(ii) To…

Q: For what value of a is the following function continuous at every x? x²-13, x<13 f(x)= 2ax, X≥13…

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Q: Determine a value for k such that the two planes are coincident. -3y+z=-27 -x- 3x+k²y+kz = k* a. k=3…

A: Final answers: (1)   d (2)  cExplanation:###(1)For two planes to be coincident, their normal vectors…

Q: Find the average rate of change of the function over the given intervals. 10x)=5x+5; a) [1,3],…

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Q: A culture contains 1800 bacteria initially and doubles every 40 minutes. Assuming that the rate of…

A: The objective of this question is to find a function that models the growth of bacteria over time…

Q: Find the first partial derivatives of f(x, y, z) = z arctan (1) at the point (1, 1, -5). af A. of…

A: A)25​B)−25​ C)4π​Explanation:

Q: 11+2i/4+3i

A: The expression in a + bi form is: 2−iExplanation:The given expression is: 4+3i11+2i​ First, multiply…

Q: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $9 the…

A: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $9 the…

Q: If 0=28°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: The objective of this question is to find the distance between two cities, A and B, given the angle…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: Answer : option (b) 2eExplanation: (7) Given,  f(x)=exx​ We know that,…

Q: Use the Chain Rule to find dz/dt. dz dt z = x² + y² + xy, x = sint, y = 9et ×

A: Closed form:dtdz​=sin(2t)+162e2t+et(sint+cost)Without…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: The answers are as follows: 7.The vector equation of the line isr=(7,2)+s(2,−3),s∈R.Option b. is…

Q: At what nominal rate compounded continuously must money be invested to double in 2 years? A rate of…

A: The objective of this question is to find the nominal interest rate that would allow an investment…

Q: a. Use implicit differentiation to find dy dx b. Find the slope of the curve at the given point. 3…

A: 6xy=9(a)ddx(6xy)=ddx(9)Using the product ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: уа f(x) -g(x) The area of the shaded region in the graph above is described by which of the…

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the normal form of the equation of the plane that passes through P = (O, - 2, 5) and is…

A: The normal form of the equation for the desired plane is:6x−y+2z=12Explanation:To find the normal…

Q: 17. Find the intercepts of the plane 2x + 6y − 3z - 12 = 0. -

A: Intercepts are : 6, 2, -4Explanation:

Q: Find the derivative. p= secg+ csc q CSC q dp OA. = sec q+1 dq dp OB csc c cot c dq dp = sec dq dp…

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Q: Find f'(x) if f(x)=7e6x f'(x)= 0

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 5)Option A is correct answer  6) Option D is correct answer Explanation:

Q: Find f'(x). f(x)=2x-Inx³

A: f′(x)=2−x3​Explanation:

Q: The graph of a function is given. Choose the answer that represents the graph of its derivative…

A: We need to determine the graph of the derivative from the given graph.

Q: Use implicit differentiation to find x³+3x²y+y³=8 dy dx

A:

Q: b. How would you rewrite each expression if it was an integrand for a trig. integral? Just the first…

A: We have to rewrite each integrand1.    Sin3xcos4x2.     Sin2x3.      Cosec3xcot3x

Q: Exercise 1.- Calculate the mean value of the function f(x) = 3x² + ½ in the nterval [-2,2] and…

A: Mean Value Theorem for Integrals: If is continuous on the closed interval and differentiable on…

Q: Find all points (x,y) on the graph of f(x) = 2x² - 3x with tangent lines parallel to the line y =…

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Q: Find y" if y= -4 cos x OA. y" 4 cos x

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Q: > Next question dy Given the equation below, find dx 9x+2xy + y = 12 dy dx = - 18x7 (4+5x37) 2x45…

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Q: Solve the system of equations 2x - 8y = 148 1x9y=152 by converting to a matrix equation and using…

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Q: Let y = tan(3x+5). Find the differential dy when x = 1 and da = 0.2 0.61185103 Find the differential…

A: Let .To find the differential .To find the differential .

Q: Hello Continuing with this problem, shown in the picture, where the parameterization for S was…

A: To calculate the surface area of S, we'll use the formula for the surface area of a parametric…

Q: Consider the equation x25 + y3 + z4 + sin(xy − z) = z2. Find ∂z∂x at the point(1, 2, 2)

A: The objective of the question is to find the partial derivative of z with respect to x, denoted as…