P7: x3 + x – 1 x(x – 1)(x + 5)²

Q: 25. æ sec (a²) tan(æ²) dæ | sin? x dx (Hint : cos (2x) 26. 1 27. dx 4- (ӕ — 1)? 1 dx 9x² + 25 28. dx…

A:

Q: Find r'(t), r(t,), and r'(t,) for the given value of to r(t) = (e', e²9), to = 0 r'(t) = r(t,) =…

A:

Q: Let F(x) = f(x*) and G(x) = (f(x)). You also know that a' = 5, f(@) = 3, f'(a) = 13, f () = 1 Then…

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + = subject to x2 + y…

A:

Q: The equation of the ellipse that has its center at the origin with focus at (0, 4) and vertex at (0,…

A: The ellipse has its center at the origin with focus at 0,4 and vertex at 0,7

Q: The graph given below is graph of f '. Determine where f is increasing, decreasing, concave up,…

A: Let's find.

Q: 7. SavT – 1 dr 8. | (x) Væ² – 1 dx 1 dx 5x +1 9. dx 10. 3x + 9 4x – 6 dx (x – 1) (x – 2) 11.

A:

Q: P2: |(e* sin x + x In x) dx

A:

Q: f(x)=/1+2sin x j. f(x)=e" +4* +sinh(10x)

A:

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Let's find.

Q: 1 Σ 'n² +1 ln + 30 1 4 + 9 27 81 243 729 8 16 9

A:

Q: 4 (2, 4) y = 2x y = x? Using a vertical element of area, the area of the shaded region is given by…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Twenty-five

A: We will find the probability.

Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

A:

Q: Let g(8) = (2s – 1)°. Then g'(8) is 9'(1) is 9'"(8) is and g''(1) is

A:

Q: 6. Which of the following integrals cannot be evaluated using integration by parts? A. ſe-*sin2x dx…

A:

Q: The area bounded by y=3Vx and 2y =3x is revolved about the y-axis. Using circular ring method, set…

A: This question can be solved using the concept of circular ring method.

Q: S csc-2a(seca)-da

A:

Q: dy - 3y= 5e* with initial condition K0) -5? dx Which of the following is a solution of the…

A:

Q: c) Find the general solution to the differential equation = 3x(y + 8).

A:

Q: Identify whether the given is a discrete or continuous variable. 1.The number of arrivals in an…

A:

Q: Evaluate the definite integral. Use a graphing utility to verify your result. (8t – 1)2 dt 0.

A:

Q: 1. sin 0 =

A: answer is in next step

Q: Select all that apply. Select the functions whose value is zero. sec 270° Csc 360° tan 90° cos 270°…

A:

Q: Find V × (V × F) if F(x, y, z) = 5xyj+ 10xyz k. V × (V × F)

A: As we know that; If F→=F1i+F2j+F3k then ∇×F=ijk∂∂x∂∂y∂∂zF1F2F3 Given: Fx,y,z=5xy j+10xyz k

Q: Solve y’’ – y’ + y = 2sin(3x)

A:

Q: The differential equation (x²y-2x- 3)dx+ 2dy=0 O Linear in y Linear in x O Homogenous O Exact

A: Given a differential equation

Q: 4x2-3 f (x) 2х3+x2+7

A:

Q: Use the definition of Taylor series to find the first three nonzero terms of the Taylor series…

A:

Q: 2. If y = find the differential dy. Hence, estimate the value of 1 + (1.023 1 +

A: topic- differentials

Q: After substitution is performed, which of the following is equivalent to (4r249)7 dx? 45 8 du u? 13…

A: We have to use the u subsitution method

Q: Given a non-exact differential equation(x - sin?y)dy + sin y dx = 0. Find two integrating factors.

A:

Q: Find the curvature of the curve 7 (t) = (2 cos(t), 2 sin(t), t) at the point t = 0 Give your answer…

A:

Q: 5. For vectors given the vectors v =(-4,-3) and w (-1,-1), find: (a) Sketch, v+w below. Find its…

A: We can solve as follows

Q: e4z+1 dx e2r – 1 17.

A:

Q: (4, 4) y= 2x-4 (1,-2) Jsing a horizontal element of area, the area of the shaded region is given by…

A: As required, draw a horizontal stripe as shown:

Q: -2

A:

Q: Give your answer correct to Use differential to estimate the value of y 4.01 V4.01 8. four decimal…

A:

Q: Use Laplace transforms to solve the following initial value problem S y( (t) – y(t) = 8 (t) y(0-) =…

A: We need to find out laplace transform of the initial value problem, which is described in step 2 .

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) (1 + x)3 Σ 00 f(x) n =…

A:

Q: 5. IF sin@=5 =E and@inthe first quadrant, find cos

A: We have to find the cos angle

Q: If f(x) = sin (a*), find f (x) Find f'(5)

A: Given function is f(x) = sinx3 we have to find the first derivative of f(x) that is f'(x).

Q: 4. Find the area between y=Z+3. and ys-xt1ox-9

A:

Q: IV. Suppose z is a function of r and y, and tan Vy² + x² 2e&y¸ Solve for az az and dy

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: P8: sin x cos x (2 sin x – 1)(sin x + 1)

A:

Q: Use implicit differentiation to find the gradient of the tangent line for xy 6xy - 2x = 9 at the…

A: topic- application of derivative

Q: The equation of the line passing through the point (– 3, 7) with slope zero. A. x = -3 C. x = 7 D. y…

A:

Q: Which of the following DE has separable variables? O (xy? + x)dx + (x²y-y)dy=D0 O (x- y)dx+(3x+…

A: