Find the derivative of the function y = y' = || 9x² - 8 x² - 7

Q: Find the value of the constant C' for which the integral converges. Evaluate the integral for this…

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Q: ulate each of the following derivatives using only th vative. f(x) = x³, f'(2); g(x)=x+2, g'(a) (for…

A: Topic:- application of derivatives Note :- as per our guideline if more than three subparts posted…

Q: What is the differential equation of the given 2 parameter family of solutions? y = C₁e* + C₂e³x…

A: To find the differential equation of the given two parameters family of solution, we have to take…

Q: Find the vertex, focus, and directrix of the parabola. 7x + 3y2 = 0 vertex (x, y) =

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Q: 2x² yy' + 2xy² + 3 = 0 y'ex = y sin(x) + tanh(y) y' + y" = 2x²y et

A: Please see the below answers.

Q: Use logarithmic differentiation to compute the derivative of y = +3)³(x8-5)8 (x5 + 8)7 (+6+

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Q: The temperature at time t hours is T(t) = −0.3t² + 4t + 60 (for 0 ≤ t ≤ 12). Find the average…

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: Evaluate the following integral. 4 3-3x 3-3x-y !!! 00 Sdz dy dx 4 3-3x 3-3x-y SS 00 0 dz dy dx =…

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Q: One base of a trapezoid is decreasing at a rate of 888 kilometers per second and the height of the…

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Q: Bryce has become confused after learning about Geometric Series. He believes that if he adds an…

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Q: Please show your answers to at least 4 decimal places. Find the directional derivative of the…

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Q: Solve the following Differential equations: 1- (x²-yx²)dy + (y² + x²y²)dx = 0

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Q: (2) The contour diagram of g(x, y) is given below. 2 -2 -2 -3 -2 -1 0 2 (a) Clearly label a point P…

A: The given contour diagram of gx, y is given below:

Q: a.) Without regard to the context of your parabolic model, what is the mathematical domain of your…

A: Given:  Parabolic model: y=-7x2/60+119x/60+7                                       (1)…

Q: Question Find the radius of convergence of the Maclaurin series for the function below. tan =…

A: Given function:- fx=tan-12x

Q: 0.2" lim- 2.3" 0.2" ||

A: Given query is to find indicated limit.

Q: vi viii 22 0 TT cos 4x dx sin6x dx

A: Fonding the integrals,use the reduction formula.

Q: b) following function is defined Determine the point(s) where the g(x, y) = -(x-3)…

A: Given:   To determine: The point(s) where the function g(x,y) is defined.

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: (a) Show that if a varies, then the polar equation raseco (π/2<0</2) describes a family of lines…

A: Let's solve polar equation describes a family of lines perpendicular or parallel to the polar axis.

Q: 7. Solve the initial value problem as a linear first-order differential equation: xy' + 2y = 2²-1+1,…

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Q: 1. After Thanksgiving with her extended family, Surrena has a splitting headache. To take the edge…

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Q: Use an inverse matrix to find [x] for the given x and B. 5 (-3) -6 B= -3 4 [x] = (Simplify your…

A: We will find the required .

Q: 1. Test the series for convergent or divergent. 8 √k 2k + 3 Σ(-1)*, k=1

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Q: Find the volume of the region between the cylinder z = 2y² and the xy-plane that is bounded by the…

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Q: Consider the following function. f(x)= -8x3 + 24x + 7 (a) Find the critical numbers of f. (Enter…

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Q: The center of mass of quarter circle given by is the point P = ( Hint: Use symmetry. " ). 2 - x², y…

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Q: Given f(x, y) = 3e¹2 sin(4y) then Vf(0, 1) - [

A: To find the gradient of the function

Q: Find all second order derivatives for z = 7ye5x Zxx Zyy = Zxy=Zyx = |

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Q: Rebecca's investment account was valued at $15,000 but then lost 21% of its value. What percent…

A: Answer is in step 2.

Q: A pet store conducted a survey to gather information about the types of pets people own. Here are…

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Q: Consider the function f(x) = (x + 1)e. Determine each of the following. 1. Find the derivative…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Set up the triple integral for the function f(x, y, z) = 5 over the solid {(x, y, z) | x² + y² + z²…

A: The given function is:f(x,y,z)=5Solid S= (x, y, z) | x2+y2+z2≤28,  z≥0

Q: Concept

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Q: Find the average value of the function over the given interval. x² on [0, 6] f(x) =

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Q: write the exponential function y=50(1.025)^t in the form of y=a(e)^kt, once you have rewritten the…

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Q: For the function f(x, y) = (5,-2) that has a positive 2e²* sin(y), find a unit tangent vector to the…

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Q: d'y 1 2 dx 2 dx6 + 142- dx5 -471- d dx4

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Q: I. Find the intercepts, the critical points and point of inflection for each of the following…

A: Need to find out the intercepts, critical points and point of inflection, vertical and horizontal…

Q: A once thriving company in Teaneck had its monthly profits, in thousands of dollars, modeled by the…

A: we need to find out the profit many years into the future.

Q: Calculating First-Order Partial Derivatives In Exercises 1-22, find af/ax and a flav. 15. f(x, y) In…

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Q: Consider the following. x = 5t + 8,      y = 8t + 5 (a) Sketch the curve by using the parametric…

A: NOTE: Refresh your page if you can't see any equations. . to graph the line, we need only two…

Q: Consider the function f(x) = 2x¹. Determine each of the following.

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Q: If f(x) = (7 sin x + 8 cos x)tan -1 x, find f'(x). Hint: Use the product rule! Question Help:…

A: Given; f(x)=(7sinx+8cosx)tan-1x.

Q: Please use a double integral (in polar coordinates) to derive the formula for the area of a circle…

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Q: A weather balloon is rising vertically at a rate of 15 feet per second. An observer is standing on…

A: Given  A weather balloon is rising vertically at a rate of 15 feet per second. An observer is…

Q: Solve the equation (1-5x)e¹-5 =0 for x. Give your answer as an integer or a fraction.

A: lne=1lnxn=nlnx

Q: Let f(x): = 3.2x + 15.8 if x - 2 if x = 4 4 Determine which one of the following rules for…

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Q: (e) Identify the x-coordinate of any inflection point(s) of f(x).

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