Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

Q: Given the relation x² – xy + y³ = 11, determine the slope of the line tangent to the curve at (-1,…

A: Explanation of the answer is as follows

Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

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Q: 5x - 4 dx x3 + 4x2

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Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

A: Given problem:- Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere…

Q: A farmer finds that if she plants 50 trees per acre, each tree will yield 55 bushels of fruit. She…

A: It is given that, If a farmer plants 50 trees per acre, each tree will yield 55 bushels of fruits.…

Q: Solve the following differential equation (MANUAL calculations only). dy (x + 1) – 2(x² +x)y =: x >…

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Q: Determine the resultant of the force system shown in Fig. 224 300 1 2 30 361 3.

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Q: A circle is inside a square. The radius of the circle is decreasing ata rate of 5 meters per minute…

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Q: Given the function g(x) = 8x³ + 12² – 48x, find the first derivative, g' (x). g'(x) = Notice that…

A: We can solve this as follows:

Q: 5. S sec(3x) tan(3x) dx

A: formula:∫ secx tanx dx =sec x +Cwe are given;I=∫ sec(3x) tan(3x) dx3x =t3 dx =dtdx =dt3

Q: (a) At what point do the curves ri = (-4+t, -6 – 2t, 7+ 2t + t2) and r2 = (-5 – 2s, -4 +3s, 6 + s?)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: To create a college fund, a parent makes a sequence of 18 yearly deposits of $1100 each in a savings…

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Q: (a) 12t – 5t? + 9 dt = +C. (b) u714 TA + 4.5ū du = +C. dx = 5x6 (c) +C.

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Q: Зx2 — 5х — 2 lim x→2 In(x – 1) - is | (А) 7 (В) 8 (С) е2 (D) 0 O A O B ос O D

A: The detailed solution is given below Thank you

Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

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Q: PreCalculus E Quiz: Ch. 11 Review Quiz Find the common ratio. 2, 0.2, 0.02,... The common ratio is…

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Q: 11. Rules of Definite Integrals: If f(x)dx = 12, S." f(x)dx = 6, and "f(x)dx = 4, find the…

A: Given that: ∫05f(x) dx=12∫512f(x) dx=6∫812f(x) dx=4

Q: . limx→1−   F(x)= 2. limx→1+   F(x)= 3. limx→1     F(x)= 4.F(1)=

A: we have to find limit.

Q: Differentiate the following (choose two only )( 5 .. ) 1)2xsin-13x x+1 2)y = In Vx-2

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Q: 1. ř (t) = (3 – 4t) i + 6t j- (9 + 2t) from –6 < t<8. %3D

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Q: Find the 11th term of the arithmetic sequence. $1264.02, $1946.38, $2628.74, ... a11 = $ (Type an…

A: This is a problem of arithmetic series. Please follow the procedure given below.

Q: Find the slope of the tangent line to the curve la? + 4xy – 2y = 185 at the point (- 3, - 4).

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Q: d 6. dx sin(t) dt

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Q: Find and evaluate the sum. 4 k Σ k+4 k = 1 4 k Σ k+4 k = 1

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Q: Let the graph below represent the function fx). a. For what values of x is f'(x) = 0? b. Describe…

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Q: In the following diagram, the rectangle ACEG is divided into four congruent rectangles. F E a) List…

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Q: AB is the vector from the point (1, –2) to the point (5, 1). Find a unit vector in the opposite…

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Q: For problems 1 & 2 determine the length of the vector function on the give 1. ř (t) = (3 – 4t) i +…

A: First differentiate the given vector function and the find its norm and then find its length by…

Q: 52 7 -1 dx = V7x – 3

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Q: Estimate the area under the graph of f(x) 1 over the interval [3, 7] using five I+ 2 approximating…

A: The given function is f(x)=1x+2 over the interval [3, 7] We have to use five approximating…

Q: .3 29. dr 18 31. 1/2 sin (x/2 + 1) d

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Q: Let us model the number of automobile sales in a developing country as 151,000 N(t) t 2010 1+5.6e…

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Q: Describe the graph of the equation: r = 34 – Sj + (I + 30k. [Choose the correct answer) O The…

A: Given problem:-

Q: If I + Vy = 8 and y(4) = 36, find y' (4) by implicit differentiation.

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Q: Given f(z, y) = – 3z' + ry° + 5y², find fr(x, y) = | fy(z, y) = |

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Q: 4. Use synthetic division to show that c is a zero of the given polynomial function. a. P(x) =x'-4x²…

A: a. P(x)=x^3-4x^2+5x-2 At c =2 Hence by synthetic devision 2| 1  -4    5    -2    =&gt; coefficient…

Q: A produce and distributor of gift cards produces z boxes of cards per day at an average cost C (z)…

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Q: onsider the functionfx) 5x" + 8x 1. f(x) has a critical point at x ind the value of A: A, does f(x)…

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Q: 0 (x-2)k 2k=1 Vk 00

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Q: Given f(z, y, z) = V31 – 4y + 6z, find fz(x, y, 2) = fy(x, y, z) = f:(1, y, z) = %3D

A: Given :f(x,y,x)=3x-4y+6z

Q: Question * Suppose X, Y are two discrete random variables with probability function given by: Y \ X…

A: Given

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for – o. За3 8x? 5x | (а) lim 8 8x…

A: Solving

Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…

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Q: V-5 – x + 5 if x 6 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

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Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Here we have the perimeter of the isosceles triangle = 38 m,  Let the equal sides of triangle = x…

Q: 1. [0, 3). Find the area between the graph of y = x and the x-axis over the interval

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Q: Complete the table for a savings account in which interest is compounded continuously. Initial…

A: We shall use the formula for amount after t years= P(1+r/100) ^t Where r is rate of interest, t is…

Q: 2x3-5x2+x+6 (b) lim 7x3+xー32

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Q: Find the length of the curve y = xVa 0 <x < 1.

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Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket…

A: Rate of change