S x² x²+49 -dx

Q: Evaluate. dx [sec 5x] O 5. sec² 5x O 125 seca tan x O 5 sec 5x tan 5x

A: Given query is to find the derivative work f the expression.

Q: B. At what rate the probability of de- veloping cancer increase with solar ex- posure

A: Given P(x)=e-2+x+3x21+e-2+x+3x2

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y2x2 + 4 and above the…

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Q: 9 8- 7 16 1 A 3 يها 2 1 If f(x) f'(3) = = g(x) g(x) h(x)' 2 3 x-values then 5 4 يها 2 1 h(x) 1 2 3…

A: Given that graph of gx and hx    and fx=gxhxTo find :f'3Solution…

Q: Find the volume of the solid obtained by rotating the region bounded by the curves X = = -3y²…

A: Given that the region x = -3y2 + 12y - 9 and x = 0

Q: 4 Let f(x)=x²-3x-2380, x>0.75. Find the value of df-1 At x = 0, dx (Type an exact answer in…

A: Given function:- fx=x4-3x-2380

Q: 4 1dx 2 x lnx Đ ( sinh3 trashtdt

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Q: Differentiate y = 6 + sin x x + cos x

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Q: r-axis Find the exact area of the surface obtained by rotating the curve y = √√7-x, 1 ≤x

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Q: 1. We are interested in evaluating the integral √ √9-² da. Note that this integral gives you the…

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Q: Find a polar equation for the curve given by the Cartesian equation Y = 4x²

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Q: Determine the higher-order derivatives of a function of two variables. Given f(x, y) = x - 5xy³ +…

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Q: The System of conics has two solutions (x-1)^2+(y+4)^2=25 (x-1)^2/25 + (y+4)^2/100 =1 What are…

A: Given :(x-1)2+(y+4)2=25 (x-1)225+(y+4)2100=1

Q: If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the…

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Q: Find the linearization at x = a. 9x² x-3,9=11 (Use symbolic notation and fractions where needed.)…

A: We can find the Linearization function in the below steps using the given datas.

Q: J. R (x + y) dA where R is the region bounded by y = √x and y = x².

A: The answer is in step 2.

Q: 1. 2. y"" +3y" +4y +12y = 8cos2x - 16sin2x y" - y'= -2(1+x) +4e* -6e-* +96e³x

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly profit (in dollars)…

A: An apartment complex has 100 two‐bedroom units. The monthly profit in dollars realized from renting…

Q: Find a particular solution to the nonhomogeneous differential equation y" +25y = cos(5x).…

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Q: Write Equations of a Plane in Space Find the equation of a plane through the points (1, 2, — 7), ( –…

A: The objective of the question is determine the equation of the plane.

Q: Find the volume of the given solid. under the plane x - 2y + z = 5 and above the region bounded by x…

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Q: Differentiate the following. (a) y = sin(x4) (b) y = sin(x) Solution (a) If y = sin(x4), then the…

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Q: 21. k(x) = x¹ - 2x³

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Q: A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of…

A: Cost of chocolate per pound =$ 13.8 Cost of trail mix per pound =$ 4.4

Q: Find the first five non-zero terms of the Taylor series for f(x): 8 + Written compactly, this series…

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Q: Question 9 The height y (in feet) of a ball thrown by a child is 1 2 -x² + 4x + 5 y = 12 where is…

A: For the b part we use y'=0 to find the critical points and then use second derivative test to show…

Q: Let the graph of f(x) be given below. Find the formula of f(x), a polynomial function, of least…

A: To write the equation of polynomial.

Q: Find Angle between two vectors b = (4, 5, 2). Let à (5, 1, — 4) and = Find the angle between the…

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Q: Find the differential of the function. y = e³x dy = =

A: We have given function  y=e3x dydx=ddxe3x dydx=e3x·ddx3x dydx=e3x·3 dydx=3e3x dy=3e3x dx

Q: 4 19. f(x) = x + x + [-8,-1]

A: The given function is  f(x)=x+4x,  -8, -1

Q: A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another…

A: Topic -Mean Value theorem We are given, Initial speed of car =0mi/hr Final speed of car= 60 mi/hr…

Q: -1 y 3 2 (1, e) y = ex (1, 1) y = x¹ 1 2 3 X

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Q: Consider following ODES: 1)4y" +12y' +13y=0,2 a) Find characteristic equation ar

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Q: Calculate the partial derivatives of a function of two variables. Given f(z, y) = 10 + 4y + 7zy,…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: d'T At a certain moment, the temperature in a snake cage satisfies = 0.008 °C/s. Estimate the rise…

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Q: Jse logarithmic differentiation to find the derivative of the f 3x y =(√x) ³x ''(x) =

A: We need to find out the differentiation of the function.

Q: Given_lim_f(x) = 1 and lim_g(x) = 3, evaluate: x →6 9+x lim ( − 3f(x) + 4g(x)) = x →6

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Q: Find the volume V of the solid formed by rotating the region inside the first quadrant enclosed by y…

A: Given that Curve y=x3 and  y= 25xand Rotation about x-axis.Solution :

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: 27-30 Compare the values of Ay and dy if x changes from 1 to 1.05. What if x changes from 1 to 1.01?…

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Q: y = 5x³

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Q: Draw a graph to match the description given. G(x) is decreasing over (-∞, - 8) and (5,00) and…

A: To determine the graph of the function with given characteristics.

Q: Find the GS for y" - y = exe-x

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Q: 7/8x - 12 = -1/8x - 2

A: Given; 7/8x - 12 = -1/8x - 2

Q: 8 1. r = sin 20 2. r = cos 20 3. r = sin 40 4. r = cos 40 5. r = sin 30 6. rcos 30

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Q: For the function g(x)=x5 - 4x³ solve the following. g(x) < 0 Select the correct choice below and…

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Q: You Must solve the whole question completely. Don't solve partially one or two questions. If u don't…

A: Given, y=3x-6

Q: Find r(t). u(t). r(t) = (7t − 8)i + t³j+ u(t) = t²i - 9j + t³k r(t) u(t): Is the result a…

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Q: For each function in Exercises 7-28, (a) give the coordinates of any critical points and classify…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: I am attaching image so that you understand each and every step.