The sec√x dx is {A}=sec x³/2 + C {B} ²sec ³/2x + C 3 {C} 2 In sec √x + tan √x {D} In sec √x + tan √x + C + C

Q: Problem 3. Solve 2+2 =10 4* +4 = 68

A: To solve the following system of equations.2x+2y=104x+4y=68

Q: 10. Consider the region bounded by the graphs of y = tan-¹x, y = 0, and x = 1. Find the area of the…

A: Let's find.

Q: The function given is the population change per year of bald eagles in America P'(t) = 0.21t²…

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Q: St-1.0t vemos anoitasu) InemzeozeA B C E M N K JH G Identify each of the following in the figure…

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Q: A. Using chain rule find the derivative of the following functions. 1) f(x) = (x³ + 3x²) 200 2) f(x)…

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Q: Consider the function of that is continuous on the interval [-5, 5] and for which ſo f(x) dx = 4.…

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Q: (1 + x³) dy - x² y dx || 0

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Q: Solve the given differential equation by undetermined coefficients. y'' − 12y' + 36y = 24x + 2…

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Q: 6) The variables x and y satisfy the differential equation X = y(1-2x²), dx and it is given that y =…

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Q: Problem 2. Do both parts. 12 4 8 Part (a) Find the sum: + ·+· 3 9 27 81 Part (b) Solve the equation…

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Q: The f2e4t sec2e4t dt is {A} = = tan e 4t + C {B} = sec³e4t + C 16 {C} /e4t tan e4t + C {D} et…

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Q: 2. Given So S√x y² +8 dydx. Reverse the order of integration and evaluate. Draw the

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Q: Determine the maximum value of f(x)=-x²+2x²+2 on -2 ≤x≤ 3. a) 3.185 b) -7 Od 2 d) 18 2

A: To find the maximum value of the function.

Q: The Cartesian equation of the straight line tangent to the plane curve given parametrically by the…

A: Explanation of the answer is as follows

Q: For two exclusive events A and B, P(A) = 0.2 and P(A U B) = 0.65 If the given information is shown…

A: Solved below

Q: Find the amount of money that accumulates when a one-time lump-sum investment of P = $50, 000 is…

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Q: Find the differential dy of the function y = Provide your answer below: dy = dx 5x4 + 4 4x + 3

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Q: Evaluate fff 12y - 8x dV wherein the limits of integration are the region behind y = 10-2z and in…

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Q: Let C₁ be the curve with parametric equations I= cost, y = sint -t, where t € [0, 1]. (a) Find the…

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Q: If F(x) = f(t) dt, where f is the function whose graph is given, which of the following values is…

A: F(4) is the answer.

Q: Consider the vectors. (5, -8), (-4,1) (a) Find the dot product of the two vectors. -28 (b) Find the…

A: Given problem:- Consider the vectors.   <5, -8>, <-4,1>   (a) Find the dot product of…

Q: Activity 2: Solve each function below the letters and decode the unknown word in each number. Once…

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Q: g(t) How many people contracted the lu 7. Suppose that f(t) is the rate at which snow is falling at…

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Q: For the function whose graph is shown, list the following quantities in increasing order, from…

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Q: Solve the following: 1. Create a table, a verbal description, and a piecewise function to represent…

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Q: Find the general solution of the given differential equation. x + 2y = x³ -x dx y(x) = Give the…

A: Here, the given DE is: xdydx+2y=x3-x⇒dydx+2yx=x2-1 Comparing it to dydx+yP(x)=Q(x). We have P(x)=2x…

Q: y² − 5y = x³ - e² +c where c is the of integration. Setting x= we have . Thus, we have y — 5y — ( —…

A: This is a problem related to integration. Based on the general formula we will answer the question.

Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x=44. Round…

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Q: 7. y=2 cos(x) - 1 끌 3m

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Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

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Q: Find the minimum value of f (x,y,z) = 2x² + y² + 3z² subject to the constraint 2x - 3y - 4z = 49

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Q: Find the indefinite integral. Solution in handwritten a. S dx sin x cos²x

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: A)P(x)=R(x)-C(x)       =5x -(0.003x2+1.4x+60)P(x)=3.6x-0.003 x2-60b)R(50)=5(50)…

Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

A: A 10‐ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

Q: #6

A: Topic:- application of integration

Q: Of all rectangles with a perimeter of 10, which one has the maximum area? (Give the dimensions.)

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Q: It is known that the area of a polygon with vertices (x₁, ₁), (x2, 12). (x, yn) is equal where we…

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 6x + 17 between x =…

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: As per our guidelines we are supposed to answer only three sub parts. For the solution of first…

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: 32 Question * (3 Points) The proper transformation for sin²x to make the f sin²x dx readily…

A: substitution

Q: ∞ n=1 (n+1)(3² − 1)¹ 32n

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: H.w.2 Evaluate the following cartesian integrals by changing them into equivalent Polar integrals: 4…

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Q: Find the indefinite integral. Solution in handwritten. 1. f(-8x)√3-4x²dx

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Q: Find the Taylor series generated by fat x = a. f(x) = exa=3 Ο Α.Σ Ο Β. Β. €3(x-3) n! €3(x-3) (n+1)!…

A: Find Taylor series.

Q: The fx³5x dx is x²+2 {A} x − ² (x² + 2)² + C 5 {B} x + ²(x² + 2)² +C {C}-{In|x² {D}+In|x² +21+ C…

A: integration

Q: C. Find the angle coterminous to the given angle that has the opposite sign. бл 1. - 7 2.-258°

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Q: ام 1. ( - 3x2 + 5x - 7)dx

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Q: Use a parametri. tion to express the area of tne surface as a double Integrai. Then The portion of…

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Q: Find the area of the surface x²-6y-2z=0 that lies above the triangle bounded by the lines x = 4, y =…

A: Surface Area :        Surface Area = ∫∫R 1+zx2+zy2 dA