4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

Q: 7. For the limit lim (x³ - 3x + 4) = 6 illustrate Definition 2 by finding values of 8 that…

A:

Q: (1³7). (a) If Q is the point (x, sin(¹37)), find the slope of the secant line PQ (correct to four…

A: We have to find the values  of slope at given value of x.

Q: Solve the differential equation. y' + 2xy = 23x A There is no correct answer from among the given…

A: To solve the differential equation. y'+2xy=23x

Q: 28. The function f is continuous on the interval [3, 11] with some of its values given in the table…

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Q: 15. The base of a solid is the circle x² + y² = 9. Cross sections of the solid perpendicular to the…

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Q: You are planning to donate exactly 5% of your income to charity. Your weekly paycheck is $753.98.…

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Q: (a) lim h(x) X--2 (b) lim h(x) x-0 (0, -5) (-2,-7) y y = h(x) X

A: We have to find limit values at given points x= -2 and x=0

Q: Find the area bounded by y = Round to four decimal places. O 1 21 2 2 36-4x2 " 3 x 0, y = 0, x = 2.

A: This question can be solved by the concept of area bounded by curves.

Q: v − 1) dx + (x + 1) dv=0. If v= 2 when x = 1 determine v when x =

A: The given differential equation is; x(y+1)dx+(x+1)dy=0

Q: Use the Intermediate Value Theorem to show that the following equation has at least one nonzero…

A: Given That,  Sec(2x)= 3^x

Q: 9. Let f(x) = 4x² - 2x, 2 √3x- x - 6, 2, Find a) f(-1) b) f(3) c) f (8) d) f(1) e) f (6) x ≤ 1 1<x<…

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Q: 10. Evaluate 0 X √x² +36 dx

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Q: A company produces a special new type of TV. The company has fixed costs of $497,000, and it costs…

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Q: 3.44 3. Test for homogeneity f (x, y) tanx-sec²x - cosy

A: Question : Test for the homogeneity f(x, y) = tanx - sec²x - cosy

Q: The function f(x) is continuous on the interval [-1,3]. The table below gives some of its values.…

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Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

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Q: plane

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Q: Prove that: В(х+у) тв (хун) = в сху) let П (х+1) =Х ГСХІ

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Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

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Q: 5(4) + 3y(3) = 0

A: Let's solve given differential equation.

Q: Determine the infinite limit limx→π− cot x

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Q: Find the area of the parallelogram whose diagonals are represented by the vectors a = (3,-3,1) and b…

A: As we know that; The expression for the area of the parallelogram with the diagonals a→ and b→.…

Q: The following table gives the number II(t), in millions, of adult Americans with Internet access in…

A: NOTE: Refresh your page if you can't see any equations. . t 2000 2003 2009 I 101 160 190 .…

Q: Which of the following differential equation is (are) solvable by a method that requires a…

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Q: Q6) (E.G.) If AABC~ A EFG, 2A 3EG and the perimeter of AABC is 12. Then the perimeter of A EFG is:…

A:

Q: Evaluate the integral t3etdt

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Q: For the discrete logistic equation Xt + 1 = cxt(1 - xt) and the given values of xo and c, calculate…

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Q: 18. The velocity, in ft/sec of a particle is given by v(t) = -16t+2. Find the position function s(t)…

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Q: 1. For each statement, determine if it is True or False and explain why. x²-4 x-2 =x+2 b. lim *-* =…

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Q: Find the DE of a family of circles with center at (1,-2).  Hint: Equation

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Q: dy X -2= y² - 3y dx

A: We use variable separable method to solve the given differential equation.

Q: Which of the following is the appropriate substitution for the Bernoulli differential equation xdy +…

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Q: 3 2. f(t) = (2t-1)-²; ƒ(1), ƒ(5), ƒ(13)

A: Given function is f(t)=(2t-1)-32 We need to find its value at, f(1), f(5), f(13)

Q: (a) Compute the solutions x, y of the system of two linear equations 3x + y = 1, 2x 6y = 10. (b)…

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Q: The equation y² = cx is the general solution of

A: We have to find the differential equation.

Q: limx→0 sin 2x 2x²+x

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Q: Given that lim f(x) = 5 and lim g(x) = 1, evaluate the following. x→-1 x→-1 Give your answer as a…

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Q: Find the composite function f(g(x)). 4. f(u) = 3u²+2u-6, g(x) = x + 2

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Q: xp x + 1^₂x

A: Here is the solution:

Q: Use one or more logarithm identities to show that In (2) In(x) for any > Use one or more logarithm…

A: we have to do as per the question.

Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: Given problem:- Differential equation of family of circles centerd at the line y=2x

Q: Find an equation of the tangent line to the graph of the function at the given point. Y = sin 3x (=…

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Q: Determine the equation of the hypotenuse of the triangle using the given coordinate system…

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Q: 1. f(x) = x 3x-1

A: Domain of a function is defined as the values of x for which the function is defined.

Q: Q15) The Parallel Postulate of Euclid is equivalent to: A) The Plane separation postulate B) Pasch's…

A: Solution

Q: 1. Solve the Differential Equations. (3x² - 2y²) y' = 2xy

A: Ode

Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

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Q: Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

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Q: 1. The point P(2, −1) lies on the curve y = 1/(1 − x). (a) If Q is the point (x, 1/(1 − x)), use…

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Q: The graph of f has a hole. The graph of f has a vertical asymptote. The graph of f has a…

A: Here let counter example. F(x) =x   There is no hole  There is no verticle asymptote