-3π/2 2. S TL √sinx + 1 cos x dx

Q: A lighthouse is on an island 300 meters off shore. The lighthouse beam makes a full turn every 7…

A: Let's solve.

Q: Question Define R as the region bounded by the functions f(x) = 2x + 1 and g(x) = x + 1 between x =…

A: The functions f(x)=2x+1 and gx=x+1 between x=1 and x=3, the region is revolved about x-axis.

Q: 6. dx 13+4x- ?ܢ

A: A detailed solution is given below.

Q: 3cos(6x) How can this value be converted to sin How much is it in sin?

A:

Q: How many inflection points does this function have? 2 0 1 2 ∞

A:

Q: The atmospheric pressure P(h) (in pounds per square inch) at a height h (in miles) above sea level…

A:

Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: Question Find the area of the region that is bounded above by the curve f(x) = (x + 10)² and the…

A:

Q: A payment of $11,065 is due in 2 year, $20,000 is due in 4 years, and $8,800 is due in 7 years. What…

A:

Q: Two people on bikes are at the same place. One of the bikers starts riding directly north at a rate…

A:

Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Given

Q: Given 0 t² | s² solve for 20 at

A: Given: θ=st2-ts2   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power Law: ddxxn=nxn-1…

Q: If f"(x) < 0 at x = c, f(x) at x = c is

A:

Q: f(x)= (4x² +8x+2)

A: We can find the derivative using chain rule as below.

Q: Evaluate the following Integrals 1. f 5 dx 2 ledr

A: We have to find the integral

Q: Which expression is the derivative of the function y = 9e-8 O No correct answer O9e-8 -8t O 72e-8…

A:

Q: (x+3)dx 10. ·S 4x² + 4x³+x²

A: A detailed solution is given below.

Q: ¹In(1+x) -dx X

A: According to guidelines we must answer only one of the multiple questions given. So, I answer only…

Q: 12. dx Ve -1

A:

Q: Find the absolute maximum and minimum values of the function f(x) = cos²x-3sinx on the interval…

A: Given function, f(x)=cos2(x)-3sin(x) We know that, Suppose that x=c is a critical point of fx then,…

Q: The task is to set up an iterated triple integral equal to the volume of H using rectangular…

A:

Q: EXAMPLE 1 lim x+1 X-1 SOLUTION Since lim 2 In(x) = 2 In(1) = = x → 1 we can apply l'Hospital's Rule:…

A: Here we have to find the limit of the function.

Q: x² +11x+30 4x+20 For items 37-38: Given the function f(x) = [Select] 37. What is f' (6)? [Select]…

A: Given  f(x) = x2 +11x+304x +20    ------(1)

Q: The fox population in a certain region has a continuous growth rate of 4 percent per year. It is…

A:

Q: Q2/A) Solve the following differential equation x²(y + 1)dx + y²(x - 1)dy = 0 DE

A:

Q: Q1/A) Replace the polar equation by equivalent Cartesian equation r2cose +2sing

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve the equation to find the value of a,b,c and d. Eqn 1: 6 = 6 b + d Eqn 2: 6 + 4 = 3b + c +…

A:

Q: Decompose v into two vectors v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w. v=2i+j…

A:

Q: R, S and T are closed sets implies RnSnT is closed.

A: given

Q: D. Calculate volume enclosed by (z = 8-x² - y²) and (z = x² + y²), (Use order dy dz dx). وكنت طول

A: Given

Q: f(x, y) = x³+y³-300x - 75y-3

A:

Q: (x - 8)dx x (x + 5)²

A:

Q: 1. Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

A:

Q: For items 22-23: The equation of a curve is y = 6tanx. 22. What is the slope of the tangent line…

A:

Q: 7. f¹ (2x+6)dx ¹x²+2x+5

A:

Q: Consider the solutions Y(t) of with a, b, d constants and a, b>0. Calculate lim y(t). t-x Hint:…

A: This question can be solved using the concept of linear differential equation and limits.

Q: Solve this using the given-required-solution format. Show a complete calculation without using

A:

Q: State the most appropriate technique of integration for this problem, then evaluate the integral

A: Use integration by parts  for solving this integral

Q: The function y = a. O a-3 O a = -2 ax4 ++has a minimum at the point (√(√)). D . Determine the value…

A: To find the minimum point of the function

Q: The difference equation given by A(yt - Yt-1) can be written as

A: Given

Q: 5. fx3* dx

A:

Q: y = 2x2 + 9; (a) x = -1 (b) x = 0 (c) x = 1 dx dt of the given function at the rate dx/dt. Find…

A: We have to find out the derivative

Q: Evaluate and Solve the function using the product and quotient rule of differentiation. Show your…

A: Here we have to use the concept of derivatives.

Q: 18dx ·S (4x² +9) 19.

A:

Q: f(x)= (7x¹-5x-2)

A:

Q: The function y = a. O a=3 O a = -2 ax4 +has a minimum at the point (√(√)). Determine the value of…

A:

Q: Suppose that f is a function given by f(x) = 2x + 7. Which is TRUE about the function? ET O None of…

A:

Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries. 16-y²…

A: Q=∫-44∫016-y2∫0y+6y2z dxdzdyS is the solid of integration of the integral Q.Sketch S and label its…

Q: If f'(x) > 0 at x = c, f(x) at x = c is

A:

Q: Jonathan invested $240,000 to purchase a home. After 14 years, he sold the home for $320,000.…

A: The given problem is solved below in detail.