What is the equation of the line tangent to the curve 9x^2 + 25y^2 – 225 = 0 at (0, 3)?  a. x + 3 = 0 b. y – 3 = 0 c. y – 6 = 0 d y + 6 = 0

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Q: Using the second derivative test, determine the relative extrema of the function f(x)=1/3x3-2x2-5x

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Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an an...

A: f(x) = 3x2 -x3  For relative maxima , f"(x) <0 For relative minima , f"(x) >0 

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values...

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Q: The radius of a circular oil spill after t minutes is given by r(t)=√9t . Find the instantaneous rat...

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Q: e area between the two loops of the limacon r = 1+2 sin 0.

A: We are asked to find the area between the loops.

Q: Given the System of Differential Equations dx = 4x dt dy = 3x – 5y dt Rewrite the System as a Matrix...

A: we know that  x' = dx/dt  y' = dy/dt 

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Q: Let a = ci + jand b = 20i + 21j. Find c so that the angle between a and bis Round your answers to fo...

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Q: 16. t 31²y = cos t, y(T) = 0 dt

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Q: Write an equivalent first-order differential equation and initial condition for y. y= -1+ ](5t - 3y(...

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Q: Use a linear approximation (or differentials) to estimate the given number. (8.09)2/3

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Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given ...

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Q: 2/3 Q31 3x-2x, [-1,1] =3(x)-2 2- -1/3 -1/3 2x 2(x"?-1)=0 -1/3

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Q: 24 xp-

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Q: A=TTr Vr? th2. The radiu ight circular cone rand height h à gilen b A=TrVr? th? is in creasing at Th...

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Q: Find the particular solution that satisfies the differential equation and the initial condition. f"(...

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Q: i) 4x + 256x²-8x-512 = 0 ii) (x+5)² -35 =29

A: i) 4x3+256x2-8x-512=0dividing by 4 O.B.Sx3+64x2-2x-128=0x2(x+64)-2(x+64)=0(x2-2)(x+64)=0(x2-22)(x+64...

Q: a) Draw a neat and labeled diagram of the first six rows (n = 0,1,2,3,4,5) of the Pascal's triangle....

A: (a)  

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: Given the function f(n) = 2n - 6n³ – 8n? its f-intercept is its n-intercepts are Question Help: D Vi...

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Q: 5-14 1 Solve the differential equation. 5. y' + y = 1 6. y' – y = e* 7. у' 3 х — у 8. 4x’y + x*y' = ...

A: According to our guidelines we can answer only three subparts.Question 5,Given,           y'+y=1

Q: The sequence that begins 3, 3, 6, 9, 15, 24, ... could be O a geometric sequence. a Fibonacci sequen...

A: Topic = Sequence This Sequence could be a Fibonacci sequence.

Q: a) Which of the following is the correct definition for the nth Taylor Polynomial for the function f...

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Q: Find the area of the triangle with vertices P(1, 3,-6), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the ex...

A: P(1,3,-6), Q(0,0,0) , R(2,4,1)PQ= Q-P = (0-1,0-3,0+6) = (-1,-3,6)PQ= (-1,-3,6)PR= R-P=(2-1,4-3,1+6) ...

Q: ....... Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane...

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Q: 1 1 The sequence that begins . could be 3 4 5 6' ... a Fibonacci sequence. an alternating sequence. ...

A: Given: 1/2,1/3,1/4,1/5,1/6....

Q: nd the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form ...

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Q: Let f be the function defined by f (æ) = Which of the following is the Maclaurin series for f'? %3D ...

A: The objective is to find the maclaurin series of  f'.

Q: Let f(x)= (2x-3)/(x-3). Find the interval(s) where f(x) is concave up, and the interval(s) where f(x...

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Q: sin t lim + 2 t+0 t

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Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 s y s 2, y – 1sx s 1} 328 3.

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Q: 1.Sketch the graph of the following conic: 4x^2-8y^2+24x+4=0 Then determine the focal point and its ...

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Q: Obtain the general solution to the following separable ODES; if there is an initial condition given,...

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Q: 10. An electric scooter manufacturer estimates that the cost C (in dollars) of producing x scooters ...

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Q: A sphere has a volume of 36 cubic meters. The rate of change in volume is 9 cubic meters per minut...

A: Let's find. 

Q: Find the indefinite integral and check the result by 3/2 + 4x + 6) dx

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Q: Assume that 6% of the sixth graders and 3% of the fifth graders participate in Math Olympiad. There ...

A: 1st question is based on percentage application and second is on formula  (a+b)(a-b) = (a2-b2)

Q: Given: g(x) = -2x² + 3. Determine the slope of the secant lines the curve, given the coordinates P(1...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: We know that for the vector u = ai + bj + ck, the unit vector is  u^ = aa2+b2+c2i + ba2+b2+c2j + ca2...

Q: et –1 t2 – 3t + 5 lim t-0 t t2 – 1

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Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v orth...

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Q: Find the area of the triangle with vertices P(1, 6, –6), Q(0,0, 0) an R(2,4, 1). NOTE: Enter the exa...

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Q: 1. Define the function [In(x + 1)] cosh x + tan x ,x > 0 (sinh x) sec-(x - 2) f(x) = , X < 0 a. Show...

A: Here, the given function is: f(x)=[ln(x+1)] cosh x+tan x, x≥0(sinh x)sec-1(x-2).       x&lt;0

Q: y = 3x2 from x = 1 to x = 2.

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Q: Find the volume of the solid obtained by rotating the region bounded by x =y and x = 5y about the y-...

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Q: Find the volume of the solid obtained by rotating the region bounded by y =x' and x = y about the x-...

A: Given query is to find the volume of solid generated.

Q: Select the basic integration formula you can use to find the indefinite integral. dt du 이 du a" du d...

A: We have to select integration formula for given integration.

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

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Q: What is the chromatic number of the planar graph representing this map? A B G D E F K J M

A: now In this given graph the maximum vertex part of graph is either F or I (with 7 vertices each) Now...