Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy + 12 = 0, where x = - 7.

Q: Write an equation of the line tangent to this curve at point A r = −8 sin(θ)  polar coordinate (-4...

A: Given query is to find the equation of the tangent line  

Q: Hw-4 problem SET 2.1 Yeduce to Pirs oreler and solve (1+ Cosn 6 gonod luck a^

A: First we reduce in first order that is integrate on both side.  According to guidelines we solve onl...

Q: S4 csc2 4x dx

A: Solution is written in below steps

Q: Write the equation for a sphere centered at the point ( 10, 10, – 8) and has the point (9, 1, 6).

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Q: 1. The volume, V (in Litres), of liquid in a storage tank after t minutes is described by the v(1) =...

A: Given problem:- 1. The volume, V (in Litres), of liquid in a storage tank after t minutes is describ...

Q: Whose ares is given by the double Integral. 1 2 5 6 7 1 2 3 4 5 6 7 8 Change the order of Integratio...

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Q: d²y x+2 for y=- X-3 8. Find dx2

A: Differentiate with respect to x. 

Q: Example 5.4.3.1 1. Find the maximum rate of change of f at the given point and the direction in whic...

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Q: Write an equation for the polynomial graphed below 5+ 4+ 1 -5 -4 -3 -2 -1 -1+ 4 5 -2+ -3- -4 -5+ y(x...

A: topic- polynomials

Q: 2. S(2 – 3e*) dx

A: Use simple integration formula.

Q: Evaluate using the Reimann Integral: S (a2 + 5) dæ 128 3 100 3 128 None of the choices. Please refer...

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Q: Number 62 please

A: 62.] Concept:- For an alternating series let the sum of partial sum is sn then sn - sn-1 for n>= ...

Q: Imagine that at a particular time, a kitchen counter has on it 10 bacteria and that this type of bac...

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Q: Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1

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Q: Find the Taylor polynomial of degree 3, centered at a 2 for the function f(x) = VI + 5.

A: We will find the Taylor polynomial. 

Q: х — х? -Зх- 2 dx - x' + 4x? - 4x | 4

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Q: step

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Q: *'(x) *'(1) %3D

A: Given query is to find indicated derivative.

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =...

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Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x° +0.07x + 14x + 60...

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Q: Tunorial ExSICISS And any Intercepts. 49x Step 1 To And the y-Intercepts, letx be zero and solve for...

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Q: Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with ra...

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Q: (1.5,2) 1.5 (0,7, 0. 2) f0.7,02) O5 ー15 -05 O.5 0.5 1.5 1 -0.57 (ーム2,-) -15: -2 Where does f have lo...

A: From the given graph we can see that- f has local minimum at x = 0 and x = 1

Q: Let 5n? + 14n bn 3n2 An 3n4 5n2 – 19 Calculate the limit. (Give an exact answer. Use symbolic notati...

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Q: Let (P) be the surface given by the following equation + 4 and (Q) be a surface given by the below f...

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Q: 9. S sin(4x – 2) dx

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Q: Using integrating factor solve the equation x dy/dx + 2y = 4x2

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Q: Find the general solution of the differential equation. 1 こ

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Q: Find dy/dx y=4sin(x)-5cos(x)

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Q: • 86. Sphereflake The sphereflake shown below is a computer-generated fractal that was created by Er...

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Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: +00 n Σ n² + 2-n n=1 WI

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Q: x² +1 dx. Vr3 + 3x Evaluate

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Q: After five days, a 5-gram sample of a radioactive substance decreases to 3.242 grams. The amount rem...

A: Please see the below picture for detailed solution. 

Q: 5. THE NORMAL COMPONENT OF ACCELERATION OF AN OBJECT MOVING WITH VELOCITY VIN A CIRCLE = fcv,r) = r ...

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and sal...

A: P(x)=-0.005x3-0.1x2+600x-800a)P(10)=-0.005(103)-0.1(102)+600(10)-800P(10)=-5-10+6000-800P(10)=5185Cu...

Q: Directions: Evaluate the following integrals. Show your complete solutions. Identify the u and the d...

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Q: Let R be the region in the first quadrant which is below the cur curve y = sin æ, above the x-axis, ...

A: We have to write the definite integral for the volume

Q: n +1 n/n+ Vn |sin n| n=1

A: Using p test and comparison test. 

Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

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Q: A circular swimming pool has a diameter of 24 ft, the sides are 5 ft high, and the depth of the wate...

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Q: The sum of the fırst ten terms of this sequence 2.5, 1.25, 0.625, ... is Round answer to three decim...

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Q: Nicholas hopes to earn $600 in interest in 3.3 years time from $24,000 that he has available to inve...

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Q: Exercise 1: Directions: Evaluate the following integrals. Show your complete solutions. Identify the...

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Q: Ihe Water Level Was 6m at belining-QFindthe IWater Levet a any Zime QFind the 2ime when the tank emp...

A: This question can be solved by applying the equation of continuity and integration.

Q: An arch in the shape of a parabola has the dimensions shown in the figure. How wide is the arch 7 ft...

A: An arch in the shape of a parabola has the wide 18ft and height 9ft.

Q: 2. S(2 – 3e*) dx

A: According to given , only 2 solved .Given :∫2-3exdx

Q: Find the average rate of change of y with respect to x on the interval [1,4] where y=x^2+x+1

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Q: A note card company has found that the marginal cost per card of producing x note cards is given ty ...

A: Here we will find total cost of producing 580 cards,

Q: . Find (f o g)(x) for the pair of functions. f (x) = x – 3 g(x) = 6x + 8 (fo g)(x) =

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