Determine the PDE of all surfaces cutting the family of cones given by x²+y²-a²z²=0

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A: To find general solution of differential equation As per our guidelines we are supposed to answer?️…

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Q: Find the derivative of the function. -7x³ - 6 6x² +7 f(x)=

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Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 1 y+2 2…

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Q: Question 17 () Let / be defined as follows: {² z Using the definition of the derivative, compute…

A: Let f be defined as follows:  fx=x2 if x<0x if x≥0 By using the definition of derivative, to…

Q: Calculate the derivative of the function. HINT [See Example 3.] h(x) = 3[(6x − 1)(x − 1)]−1/3

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Q: Sketch the graph that possesses the characteristics listed. f is concave down at (1,5), concave up…

A: We need to find the graph which have the following characteristics f is concave down at point (1,5)…

Q: 10. The average rate of change of f(x)= x² + x over the interval 0 ≤ x ≤ 4 is a. 20 b. 4 c. 5 d. 1

A: f(x)=x2+xinterval is  0≤x≤4formula for average rate of change is favg=f(b)-f(a)b-a

Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

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Q: First, let me say that I appreciate all the valid help that I have been receiving because the step…

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Q: Consider the curve 1x² - - 2xy 1y³4.25. (a) Find an expression for y'. y' = (b) P(-1.5, 1) is on…

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Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

A: The cost of producing x bags of dog food is given by Cx=900+700+50x2-x, where 0≤x≤5000. To find the…

Q: Each of the limits below represent a piece of the passcode that you must enter to proceed. The…

A: We have to find the limits to get the passcode.

Q: Let f be the function given by f(x)=sin(2x)cos(1+x). What is the average value of fon the closed…

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Q: use differentials to approximate the vaule of sqrt(25.1)  A. 5.0300 B. 5.0200 C. 5.0100 D.…

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Q: z is incorrect

A: We have to find the value of z (Round to 4 decimal)

Q: 2y-³ Find the maximum rate of change of the function f(x, y) = X at the point (1,5)

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Q: determine if the mean value theorem can be applied to the function f (x)=x^2 on the closed interval…

A: we have given function f(x)=x2 which is continuous on the interval [3,9]. differentiation of this…

Q: Sketch a graph that possesses the characteristics listed below. f is increasing and concave up on…

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Q: Answer the following questions. 1 A function f is given by f(x) = (x+1)|x+3| x+3 (a) Express f(x)…

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Q: The sum of integrals below give the area of a region in the xy-plane. Sketch the region, label each…

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Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: The given function is;  f(x)=sqrt(4-34x).

Q: Express the integrand as a sum of partial fractions and evaluate the integral. y² + 8y +49 (y² +49)²…

A: The given integral is:∫y2+8y+49y2+492 dy

Q: 6. What principal invested at 13% compounded continuously for 6 years will yield $9000? Round the…

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Q: Let S = {1, 2, 3, 4, 5). Let f S S be the function defined by f = {(1, 1), (2, 1), (3, 3), (4, 3),…

A: Sol:- To count the number of functions g: S→ S that satisfy the given condition, we need to first…

Q: Find the Maclaurin series and find the interval on which the expansion is valid. f(x) = ln (1-x²)

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Q: (b) x dx dt 1 sin³ (15)

A: Given  x = 1sin8( t5 )

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A: To find out the integration of the given expression.

Q: Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist,…

A: We find the first and second derivatives using the power rule F(t)=3t5-20t3+20F'(t)=ddt3t5-20t3+20…

Q: The function f(x) = - 0.625x^3 + 16.789x^2 - 102.722x + 658.154 approximates the number of…

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Q: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

A: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

Q: Consi ider the ellipse 4x² + 2xy + 5y² The derivative = d on this curve is

A: Given: 4x2+2xy+5y2=149

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

A: We need to change the integral into polar integral ∫0ln6∫0ln62-y2ex2+y2dxdy

Q: Determine if the function f(x) = r²-3x+2 satisfies the hypotheses of the Mean Value Theorem (MVT) on…

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Q: For a certain mammal, researchers have determined that the mesiodistal crown length of deciduous…

A: Given: Crown length (in mm) of the molar t weeks after conception L(t)=-.015t2+1.38t-7.1 To find:…

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: We have to find the monotone intervals and relative extremas.

Q: Use a differential to approximate. (Give your answer correct to 4 decimal places.) 4(3.98) (3.98)² +…

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Q: 12. The average rate of change of f(x) = (x-a)² over the interval a ≤ x ≤a + 1 is

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Q: 4. a) Find the general solutions of the following differential equations. Express the general…

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Q: Suppose that the position of a particle is given by f(t) = 5t³ +7t + 9. s = f(t)

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Q: Let f(x) = −9+ 6x-x³. Find the open intervals on which f is increasing (decreasing). Then determine…

A: The function is given by fx = -9+6x-x3 To determine: The interval of increase or decrease and the…

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Q: Solve yy'= -(x+2),Y(0)=\

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Q: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…

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Q: Consider the function ƒ(x) = −2x² + 8x – 3. f(x) has a critical point at x = A. Find the value of A:…

A: Application of Derivative

Q: Use linear approximation, i.e. the tangent line, to approximate 4.7² as follows: Let f(x) = x². The…

A: f(x)=x2m=f'(x)d dx(xn)=nxn-1

Q: Find the directional derivative of the function f(x, y) = ln (x³ + y³) at the point (2, 3) in the…

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Q: Let a = (-3, -5, -2) and 6 = (2, 5, 3). Find a x b. <-5 X, 5 ✔25

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

Q: Find the values of x, y and z that correspond to the critical point of the function: z = f(x, y) =…

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