x²-3x - 7 √(x² + x + 2) (2x - 1) dx

Q: 2) Sketch the curve with the vector equation r(t) = costi- costj+ sin tk. Show the direction of…

A:

Q: 1. (a) f(x) = cos x ln x Find the derivatives of each of the following functions. (b) f(x) =…

A: Given :f(x)=cosx lnxf(x)=ln(cosx)

Q: 2) √ x¹ (5-x²) dx

A:

Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied for f(x) = √√x + 4 on the…

A:

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: ∫0π22cos4xdx,  n=4Then ∆x=π2-04=π8The subintervals are 0,π8,π8,π4,π4,3π8,3π8,π2By midpoint…

Q: The equation of motion of a particle is s = t³ - 27t, where s is measured in meters and t is in…

A:

Q: b) Determine whether the series n=1 find its sum. Show All Your Work! n-l is convergent or…

A:

Q: Find T, N and B for the curve F(t) = (2 cos(5t), 2 sin(5t), 3t) at the point t -0 Give your answers…

A:

Q: Use the formula k(t) = = k(t) = ||r' (t) x r"(t)|| (t)||³ ||r' r(t) = t²i+t⁹j = to find k(t).

A:

Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

A:

Q: Let f(x) = 25 x The slope of the tangent line to the graph of f(x) at the point (–6, – 25) is The…

A: All the answers are given below

Q: √81 - y² ST (x + y) dx dy

A:

Q: Given: y = (In x)" (In x)", find dy/dx.

A: The given function,     y=ln xx

Q: ^ du 1 1+2 Sinn

A: Solving the given integral using the substitution method Also using the formula for the integration…

Q: 1. f(cos 3x - x²) (sin 3x- x³)5 dx 2. f cos² x (tan x) (sec² x − 1) dx 3. f tan x (sec² x - 1)(sec²…

A:

Q: Let f(x) = x² - 4x. (A) Find the slope of the secant line joining (1, f(1)) and (7, f(7)). Slope of…

A:

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

A:

Q: Find the curvature of the curve r(t) = (3 cos (4t), 3 sin(4t), 4t) at the point t = 0 Give your…

A:

Q: the following 2 √x² √₁ + x dx aluate

A: Given query is to find the integral.

Q: Determine whether the improper integral diverges or converges. 00 x²ex dx 0 O converges O diverges…

A: Given query is to find integral converges or diverges.

Q: Ⓒ'Evaluate Sot So Sox sing ²sin y dy dz dx tim of the

A:

Q: Find the curvature of the curve defined by F(t) = (6 cos(t), 8 sin(t)) at t = T.

A:

Q: Evaluate the iterated integral. 17 [₁₁/₁² (x² + y²) dx dy = i 17 LL" (2² + y²) dx dy

A:

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: -. y ln x − x ln y = 4, y'

A: Given query is the derivative of the expression.

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

A:

Q: The radius of the base of a right circular cone is decreasing at the rate of 4 cm/min, and the…

A:

Q: Evaluate fi fi fi (xy+z)dxdydz Note: input your answer in two decimal places (example: 1.05, 2.53,…

A:

Q: Question 10 Given: y = xcos (x); Find y'". O(E) None of these Oy" xsin (x) + 2 cos(x) Oy" asin (x) -…

A:

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

A:

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

A:

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

A:

Q: Ⓒ Given SS² +8 dy dx. Reverse the order of in tegration and evaluate. Draw the region.

A: In the given problem first we draw the region then reverse the order of integration and after that…

Q: Hamzah who is 5 feet tall is walking away from a lamp post at the rate of 30 feet per minute. When…

A:

Q: f(x) = 1x4 + 1⁄2x³ 3x² +5 f(x) 20 15 10 W -8 -6 -4 2 4 6 -5 -10 -15 -20 Determine intervals on which…

A: Given query is to find inflection points.

Q: Find the Definite Integral Exactly and use Desmos to explain what you just found. -2 3. S²(x² - 3*)…

A:

Q: The graph of a function f is shown below. 6 -1 -2 1 Suppose the function g is defined as g(x) Fill…

A: In this question , we can find the limits of the function. Check when 'x' approaches to 'a' , the…

Q: 29. aj = x, a₂ = x+3 30

A:

Q: Determine whether the improper integral diverges or converges. Sº cos(10x) dx converges O diverges…

A:

Q: + + Find the area of the portion of Sphere x² + y² + 2 = 9 betw= the planes Z=1 and 2 = 0. Draw

A:

Q: Evaluate the following: 1) S x² √1 + x dx

A:

Q: approximate with accuracy 10^3 to the solution of x³+x-4 = 0, lying in the interval [1,4].

A:

Q: 1. Given the following matrices: A = 1 2 3 4] 24 6 8 1 3 5 7 -1 2 -3 4 a. [(AC)BT] - DT b. [(BD)…

A:

Q: What two nonnegative real numbers with a sum of 66 have the largest possible product? The numbers…

A:

Q: 13-16 Sketch the region whose signed area is represented by the definite integral, and evaluate the…

A:

Q: 1 et f(x) = = . X Find the tangent line to the graph of the function at x = −1. y = 【 Find the…

A: Follow next step

Q: The f sin 2x cos 2x dx is 1+3 cos 4x 1 sin²4x + C 24 1 In|1 + 3 cos 4x| + C 12 {A} {B} {C} - In|1 +…

A:

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

A:

Q: Evaluate the iterated integral. [[ (x + y) dx dy

A:

Q: The point P(9,7) lies on the curve y = √x + 4. Let Q be the point (x, √x+4). a.) Find the slope of…

A: