Use logarithmic differentiation to find dy dx y = (x + 1)(x-6) (x - 1)(x+6) dx X>6

Q: lim (1+1)* 148

A: Please see the below picture for detailed solution.

Q: Find an equation of the tangent plane to the surface at the given point. x² + y² - 52² = 108,…

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Q: Find volume by revolving the given area about the y-axis using the shell method. Answer in terms of…

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Q: Use a substitution to evaluate the following indefinite integrals, clearly stating the substitution…

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Q: Consider the function below. (Round the answers to two decimal places. If you need to use - or∞,…

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Q: Find the indicated derivative. 1 - 2x² x4 - 2x² + 6 dy dx || dy dx for y =

A: I am attaching image so that you understand each and every step.

Q: Find the following derivatives. Express your answer in terms of the independent variables. Ws and w,…

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Q: Assume that the water coming from the end of a horizontal pipe 25 ft above the ground is parabolic…

A: Assume that the water coming from the end of a horizontal pipe 25 ft above the ground is parabolic…

Q: 3. The limits below do not exist. Verify this by showing two different pathways that result in…

A: limx, y→0, 0xy2x2+y4along path x=0=lim0, y→0, 00· y202+y4=lim0, y→0, 00=0along path x=y2=limy2,…

Q: ow If w = −6x + 2yª, x = 3s +7t, and y = −8s — 6t, find Ət Sorry, that's incorrect. Try again? Əw Ət…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of…

A: Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of…

Q: Differentiate the function P = 7000(1.01)*. NOTE: Enter the exact answer. P' (t) = =

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Q: Consider the function f(x) = x³ - x¹ + ?x³ + ¾x + 20 (a) Find where the function is concave up. + ¾.

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Q: a set of parametric equations for the tangent line to the curve of intersection of the surfaces at…

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Q: Find the first and second derivatives of the given function. f(x) = -0.7x² + 0.9x + 3 f'(x) || f"(x)…

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Q: f(x) = x²(x

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Q: dz Given z + 6√√-6x+y=√√√−y=z= −3, calculate - dx Provide your answer below:

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Q: Use any method to evaluate the integral. S 243 dw w²√√81-w² 243 dw w²√√81-w² W (Type an exact…

A: Given data:- ∫243w281-w2 dw

Q: Solve the equation using the quadratic formula   6x squared + 10x +2 = 0

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Q: bax 33. Find the quadratic function f(x) = ax²+bx+c that goes through (2, 0) and has a local maximum…

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Q: Find the normal vector to the level curve f(x, y) = c at P. f(x, y) = 6 - 5x - 4y c = 6, P(0, 0)…

A: Find the normal vector to the level curve f(x, y) = c at P. given f(x, y) = 6-5x-4y and C = 6, P(0,…

Q: 3. Give the value of (a) P (10, 1) (b) P (10,0) (c) P(10,-2) + P(10, 17) (d) P (100, 40)/P (99, 39)…

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Q: Define as the region bounded by the function f(x): and the line x = 1 in the first quadrant between…

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Q: Find the first, second and third derivatives of f(x) = 1/x. From this, deduce a pattern and use this…

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Q: I. The daily temparature high can be modelled by the formula T(t) = 57.5 22.5 cos(2πt) where T is…

A: The daily temperature high can be modelled by the formula                  Tt=57.5-22.5cos2πtwhere T…

Q: Use substitute method to solve the two system ec -= x - 4y (1) dx #1: dt dy -= x+y (2) dt

A: As per our guideline we supposed to answer only first question  Given system dxdt=x-4y…

Q: The number of inhabitants y in a city increases according to the relationship y=50,000+1500x. x…

A: The given equation is:- y=50,000+1500x   Comparing with the standard equation:- y=kx+C   C = 50000 k…

Q: Define Q as the region bounded by the functions f(x) = and g(x) = 2x in the first quadrant between y…

A: Find the volume of the region bounded by f(x)=x24and g(x)=2x in the first quadrant between y=2 and…

Q: Question R is the region bounded above by the graph of f(x) = 6e-² and below by the x-axis over the…

A: Graph:-

Q: What is an upper bound for the error in 25 approximating (5x² + 3) dx using the trapezoidal rule…

A: We need to find the upper bound of the error

Q: Find the equation of the tangent plane to the surface: x² + y²-z² = -z, at (1, 1, 2)

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Q: Consider the function: f(x)=7x+1 Step 2 of 2 : Find the value of f(a+5)

A: Consider the function: f(x)=7x+1Step 2 of 2 :   Find the value of f(a+5).

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: See this solution in below.

Q: Sketch the situation if necessary and use related rates to solve. 1) Two buses are driving along…

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Q: Function Operations Given the functions: f(x) = 9x + 7 and g(x) = 3x - 6, determine each of the…

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Q: Given that f(x) (a) (f + g)(3)= (b) (f - g)(3)= (c) (fg)(3)= (d) (-) (3)-[ = x² - 7x and g(x) = x +…

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Q: Evaluate the integral. +∞ S 3 x 2xe dx

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Q: A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped…

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Q: Solve the given polynomial. Use the rational zero theoram and descartes rule of signs as an aid in…

A: I am attaching image so that you understand each and every step.

Q: Leta = (5₁5) and b=<3₁-5) SO Why that Ba Sa+t6=<-4₁-207 S= +=D]]

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Q: Consider the surface F(x,y,z)=x^9z^8+sin(y^4z^8)-4=0 Find the following partial derivatives dz/dx…

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Q: lim 8e +71-8 2e¹+3r-2

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Q: Find lim h(x), if possible. (a) h(x) = f(x) = -8x² + 3x - 4 f(x) X lim h(x) (b) h(x): f(x) lim h(x)…

A: Concept: A function may get close to two distinct limits. There are two scenarios: one in which the…

Q: Find p(-2) for p(x) = x²³ - 6x² + 3x + 4 P(-2) =

A: Put the value of x=-2

Q: Let u(t) = 2t³1+ (t²-1)J-8k. Compute the derivative of the following function. (+¹2 +4t) u(t) Select…

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Q: I dont understand what is written. Can you write in another way or atleast have spaces in between…

A: Here we have to determine the sum of convergent series.

Q: Exercise 8 Form the difference quotient lim h→0 Exercise 9 f(x+h)-f(x) h Evaluate the limit lim (x².…

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Q: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round…

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Q: Assume that the level surface equation x3+y3+z3+6xyz = 1 defines z implicitly as a function of x and…

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Q: closed box is in the shape of a rectangular solid with dimensions x, y, and zin inches. Suppose that…

A: Given query is to find the rate of change of area.