f (x) = 2x? + 10, g(x) = 4x + 16

Q: Vh+ 256 – 16 Find the limit, if it exists: (Do not use L'Hospital's rule) lim h

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Q: A rectangular storage container with an open top is to have a volume of 10 m³ . The length of the ba...

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Q: attached picture please attached

A: Topic:- derivatives

Q: [4x°cos(xy)-x*ysin(xy)– ye" +3x³]dx -[x°sin(xy)+ xe" +6y°]dy = 0

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Q: Give the equation of the directrix of the parabola with the equation x= - (v+3)². Blank 1 Blank 1 Ad...

A: Given query is to find the equation of the directrix for the parabola.

Q: 2メー7 f xス」

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Q: Evaluate  ∫√(1-7x^2) dx

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Q: Let an be then th digit after the decimal point in 3T + 7e. Evaluate Ean(-1)". n=1

A: This is a problem related to sequence and series part. based on the general formula available for ge...

Q: II. Solve the following homogeneous differential equations. 1. y'dx-(xy+ y kdy = 0 Let the substitut...

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Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that a...

A: To find the points which is not in the domain secx

Q: Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

A: As per our company guidelines, we are supposed to answer only the first question. Kindley reposts ot...

Q: 22 – 11z + 28 Find the limit, if it exists: (Do not use L'Hospital's rule) lim 7 2 – 26x + 133 Note:...

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Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: We have to find area on Monday.

Q: 04 +C 3lne d0 = 2e (A) True B False 2.

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Q: Agree. Disagree 4. If lim f(x) = 0o, then lim f(x) does not exist. Justify:

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Q: Use the Integral Test to determine whether the infinite series is convergent. n=1 Fill in the corres...

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Q: 4. Solve the homogeneous differential dy equation dx + 9xe x .

A: Solution: Given data, dy/dx = 9xey/x +y/x Multiply by differential dx dy = (9xey/x +y/x)dx Divide by...

Q: Setup the integral that will give the area of the surface generated by revolving the curve g(y) = 2/...

A: Given curve g(y)=24-yWe need to calculate the area of the surface generated by the curve g(y) over t...

Q: Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use s...

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Q: Find a set of basic vectors {ü, i} in R“ so that every vector in the solution set of the equations c...

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Q: 1. Estimate the limit of the signum function s(x) as x approaches zero from the right. (-1, x0

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Q: Evaluate the following definite integral: dx = 12

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Q: Find dy/dx, if y=(x^2+2)^4 (2x−3)^5 dy/dx = _______

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Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 23 = 8 is l...

A: We can convert to logarithmic form as below

Q: y'dx-(xy + y* \dy = 0 1. Let the substitution v=²; y=vx; dy=vdx+ xdv

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Q: Find the volume generated by rotating the region bounded by the curves about the specified axis. Use...

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Q: 3. Solve the differential equation by variable separable method (1+ y") (3a² + 6) dy 9- dr 13 + 6r

A: dydx=91+y23x2+6x3+6x  

Q: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [": 'V1...

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Q: Find dy/dx, if y=(x^2−2)^3 (2x+3)^4 dy/dx = _____

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Q: 14. Consider the function f(x) = xª – 2x?. %3D - a) Find the interval(s) where the function is incre...

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Q: cion of the tangent line to the curve at the point

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Q: Find the volume of the solid generated by revolving the region enclosed by y = x2+1 and y= x+3 about...

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Q: a) a fonction f (xy) is homogeneous of degree 7 in X and y it and only it

A: As per bartleby guidelines we only give first question answers. 

Q: Bottled Water Sales The following chart shows annual per capita sales of bottled water in the United...

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Q: 1419857* -dx 4913*

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Q: zetch the region(s) enclosed by the given curves. Find the area oft y = r and y = VI 11

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Q: INTEGRAL EVAL

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: 5 The function f(x, y) = | x' cos is homogenous inx and y of degree

A: Given that: f(x, y)=x2cos2yx-y2+x3y

Q: y-x=C1e^x+C2e^2x Eliminate Arbitrary Constant

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Q: Find an equation of the tangent line to the curve 2(x² + y)² = 25(x² – y²) (a lemniscate) at the poi...

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution :2x2+y22=25x2-y22×...

Q: Suppose y = (x² + 5)³. (a) Find the differential: dy dx. (b) Compute the differential when x dx 2 an...

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Q: Write the function g(x) (in blue) in terms of the function f(x) (in red). 2 -3 -2 6. -1 5.

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Q: (x) = x^2 +3x-4, which of the following represents the solution for the equation?

A: Topic:- algebra

Q: For h(t)=-6t+7, determine h-1 (4). Show all steps pf your calculation please

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Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: siven the differential equation dy + 3t dt + 4y = 2 e" cos(5t) di2 Determine the Characteristic Equa...

A: Given: t2d2ydt2+3tdydt+4y=2e9tcos5t

Q: "Jung Kook PROBLEM SOLVING" Jung Kook stayed at McDonald's and ordered a cup of hot coffee. When the...

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Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: ()- 2y on [–10, 15]. Determine the absolute extrema of f (y) = sin

A: Here we have to find the absolute extrema.