Find the equation of the tangent plane to the graph of 5y f(x, y) at the point (4, -7). (Use symbolic notation and fractions where needed. Enter your answer using x-, y-, z-coordinates.) the equation:

Q: Given the equation y² + z² – æy – 3 = 0, determine y'. 2xy-y 22-2y 2-y z-2y

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Q: 14. x = -y + 4y, x = 0 3 1 1 2 3 2.

A: Consider   

Q: Consider the points A(1,-1, 4), B(2, –3, 2), C(-1,-2, 2), and D(4,3, -6). (a) Find the volume of the...

A: Let's find. 

Q: 5. x sin 3) lim00 x+1

A: limx→∞x5sin5xx4+1=limx→∞ x5sin5xx41+1x4= limx→∞ x sin5x1+1x4 = limx→∞  sin5x1x1+1x4=limx→∞ 5 sin5x5x...

Q: Find the absolute extrema of the function on the closed interval. 6x2 x - 2 g(x) = [-2, 1] minimum (...

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Q: In this question we work through the steps for solving the following problem: Find the interval of c...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

A: The given function,     gt=t5-t, t<4

Q: A bicycle with 20-inch diameter wheels is traveling at 14 mi/h. Find the angular speed of the wheels...

A: Given

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: A circle's radius is increasing at 0.5 feet/minute. How rapidly is its area increasing when the radi...

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Q: Find the area of the region bounded above by y = 6x - x2 and below by y = 2x. AY 10- 8 6 4 2- X -10-...

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Q: Find the extrema of the following function on the given interval, if there are any, and determine th...

A: Given: fx=4x2-8x+5  & -2,2   The Power law: ddxxn=nxn-1

Q: 1. f'(x) = cosx and f(0) = 5, find f(x).

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Q: 5. A construction company is to transport 144 tonnes of stones to stone sites X and The Company pays...

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Q: Every power series converges at x=0. True or false.

A: Let us consider a power series with radius of convergence R, then interval of convergence of this se...

Q: Consider the following planes. -5x + y + z = 5 15x - 3y + 5z = 25 (a) Find the angle between the two...

A: Let's find. 

Q: Find the centroid of the solid of revolution bounded by the curves x2y = 4, x = 1, x = 4 and y= 0, r...

A: Find your answer below 

Q: 12) Find the volume of the solid bounded by x² +y² = 4 and z=x+y in the first octant.

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 5x6 sec(x) y'=

A: Find your answer below 

Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh x)(tanh =+/9) + 2 csc¬1 (tan(y + 1

A: Given: sec3(xy2)=(coshx) (tanhx+sqrty)+2csc-1(tan(y+1)).

Q: Find the area between the y-axis and the graph X = -y + 5y – 4 on the interval [1, 4]. 3- 2- 54 3-2 ...

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Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: Use Newton's method to approximate a root of the equation 3x+ 8a* + 2 = 0 as follows. Let 1 1 be the...

A: By using Newton's method to approximate a root of the equation 3x7+8x4+2=0.

Q: Determine the modulus and argument of the complex numbers Z = 2 + j3 and express Z in polar form Det...

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Q: phs of the equations, (b) analytically, and (c) us of the graphing utility to v

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Q: 1. log4x =-2 3. log3x + log;9 = 1 4. logzx + logz(x – 6) = 4 %3D 2. 4 + 3 log x = 10

A: Topic:- Algebra

Q: Find (f1) (3) if f(x) = x³ + x + 1. 3 (f-1) (3) = (Simplify your answer.)

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) (x) - 3x2...

A: For critical points, we take f'(x) =0

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

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Q: Determine the derivative of the function f log. tan 5m + sec 5m| with respect to m. %3D sec (5m) о 5...

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Q: Determine the length of the arc on a circle 22 + y? 100 from x = 3 to x = 5 in the quadrant IV. O 1....

A: according to our guidelines we can answer only one question and rest can be reposted. 

Q: Determine the length of the arc on a circle a? + y? = 100 from a = 3 to x = 5 in the quadrant IV. O ...

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Q: Q3)A/ Find the cquations of all lines having slope-1 that are tangent to the curve y = 03)B/ Find th...

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Q: Simplify

A: we need to simplify 1x-1+x+3x-3+1x+4

Q: Find the particular solution if dy/dt=sin(t) and y(2)=2.

A: Topic:- application of integration

Q: A cardboard box without a lid is to have a volume of 32,000 cubic centimeters. Find the dimensions t...

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Q: Use the rules of differentiation to find the derivative of the function. (e) = 4 cos(@) – sin(8) f'(...

A: f(θ)=4cos(θ)-sin(θ)5Differentiate with respect to θf'(θ)=ddθ(4cosθ-sin(θ)5)f'(θ)=ddθ(4cos(θ))-ddθ(si...

Q: find the inflection points of f(x) = (x-2)4/3

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Q: If the base b of a triangle is increasing at a rate of 3 inches per minute while its height is decre...

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Q: Evaluate the following, 8 [? + 3) e-2* dx, and write your answer in the form g(x) e¯2x + C.

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Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4,-7). (Use symbol...

A: Topic:- application of derivatives

Q: The MAIN use of Newton's Method is to: O Find the roots/zeros of a function O Find the y-intercept o...

A: Newton's method also known as Newton-Raphson method is an iterative process that can approximate sol...

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy? 7...

A: Find your answer below 

Q: Problem 3: Attournamento 0) As a preliminary helper result, show by induction that for events E1, E2...

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. (If an ans...

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Q: Find the differential dy of the given function. (Use "dx" for dx.) a. y = (x+2)/(4x-7)   dy=   b. y...

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Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation I...

A: We have to find the rate at which the infected population is growing after 10 days.

Q: Determine where the function is (a) increasing: (b) decreasing, and (c) detormine where relative ext...

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Q: Find the area of the region bounded by the graphs of the equations: y = sin x y = Cosx - This can be...

A: Given query is to find the area bounded by the region.

Q: sec* (2t) dt tan° (2t) cot (2t) cot (2t) + c cot*(2t) cot°(2t) + c C. 12 16 12 16 1 16 tan (2t) + c ...

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