37) 5 csc² x + 4 csc x - 1 cot 2 x 5 csc x - 1 CSC x - 1

Q: 2. What is the total distance travelled during the walk represented by the speed versus time graph…

A:

Q: a. f(x)=3x+4 7. (fog)(x) 9. (f+g-h)(x) b. g(x)=2x-5 C. h(x)=x²-1 8. (goh)(0) 10. (h+h)(-2)

A:

Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70…

A: Given  Speed of the circular ripple that travels outward is 70 cm/s.

Q: c+1 for all real numbers E cical points is negative and the ver is not an integer or with am pe no…

A:

Q: d the condition y(0) = 1. dy dt - 2ty= -61² e¹²

A:

Q: 3. h(x) = 4x² + 4x + 3;h(x) = 0

A: Explanation of the answer is as follows

Q: Find all zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers…

A:

Q: Find the critical points, domain endpoints, and local extreme values for the function. y=5x√16-x² 2

A: Given, y=5x16-x2

Q: 1. Consider the function f(x) = 2x - 4 (a) Find f-¹(x). (b) Use the compositions of f and f-¹ to…

A: see below the answer and calculation

Q: 2. (Section 16.2) Consider - 2 6-y [ye² da dy -3 y²

A:

Q: f(x) = √√x and g(x) = x² − 4x, find the following and their domains:

A: Given function:- fx=x and gx=x2-4x

Q: Determine the arc length of the astroid shown in Y Y X

A:

Q: f(x+h)-f(x) h 2. Find f'(x) using f'(x) = lim h→0 a) f(x) = x+2 for one of the following functions:…

A: Solved below

Q: Solve (3x² + e²v) dx + (2xe ² − 4y) dy = 0 2y A B x² + xe²y = 2y² = C 2y D x³ + xe ³y - 2y³ = C 3 3y…

A:

Q: 5. Which of the following is the correct p(x) to use, given the First Order Linear Differential…

A:

Q: Choose... cos y = (x sin x - cosx+c) cos y dy = -x sec x dx sec y sin y dy = -x cos x dx (x sinx-cos…

A:

Q: Find the maximum rate of change of f(p, q, r) = arctan(pqr) at the point (2, 6, 2).

A:

Q: The criterion ||x^(k+1) - x(k)|| ≤ TOL, With TOL a preset error tolerance level and ||M|| a norm of…

A: The criterion ||x^(k+1) - x(k)|| ≤ TOL, With TOL a preset error tolerance level and ||M|| a norm of…

Q: 7. Consider f(x)=√x a) Find the linear approximation for f(x) near a=36 b) Approximate √36.005 using…

A: For (a), The linear approximation of the function fx at point a is Lx = fa+f 'ax-afx=x,  a=36Lx=fa+f…

Q: d) e) V₁.0₁ U4 = 0₁.03= V3 Round your answer to 3 decimal places. Round your answer to 3 decimal…

A: v1→=108-4=10i^+8j^-4k^v2→=-8-6-7=-8i^-6j^-7k^v3→=-13-9=-i^+3j^-9k^v4→=-7101=-7i^+10j^+k^

Q: Can someone help with these questions. 1293/18 2881/67 43,928/25 The directions says if there is…

A: answer the following  1293/18 2881/67 43,928/25 further step given below

Q: Exercises 1-4 refer to the functions whose graphs are given in Fig. 17. 1. Which functions have a…

A: Given the graph of the functions

Q: Use a linear approximation to estimate (0.99

A: Linear approximation is given below

Q: Suppose f(x, y) = xe -8x²-8y² Answer the following. 1. Find the local maxima of f. List your answers…

A: Detailed solution is given below

Q: 26-y 2. (Section 16.2) Consider [[ye² da dy -3 ²

A:

Q: Find an equation for the tangent line to the curve given parametrically by x(t) = 3t sin at the…

A:

Q: SX IF X <1 Let F(X) = (^(X-2) IF XZ1 a, Find Limx→1¹ and lim x⇒ F(x) b. does LIM X→1 f(x) exist? C,…

A:

Q: Find the GS of x²y" + 2xy' - 2y = 0

A:

Q: Equations of Order One: Separation of Variables Instructions: Obtain the general solution of the…

A:

Q: Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.…

A: Given query is to find the length and width of the rectangle which will give minimum perimeter.

Q: Consider the initial value problem Observe that, if n = 0 or 1, the Bernoulli equation is linear.…

A:

Q: Equations of Order One: Homogeneous Equations Instructions: Obtain the family of solution of the…

A: The Differential Equation is given as , x2+2xy-4y2dx-x2-8xy-4y2dy=0 Obtain the family of solution of…

Q: MULTIPLE CHOICE 1. Let f(x)=x-g(h(x)) where g(4) = 2, g'(4) = 3,h(3) = 4, and h' (3) = -2. Find ƒ'…

A:

Q: Sketch the solid whose volume is given by the iterated integral and rewrite the integral using the…

A:

Q: d) Compute the angle in Degrees between ₂ and №3 Round your answer to 3 decimal places. Compute the…

A:

Q: Find the derivative of the function. f(x) = √√√9x + 4

A:

Q: The graph below is the function f(x) -5-4-3-2-1 16 2-2 4 45 3 1 -1 -2 RT Select all statements below…

A:

Q: An isosceles triangle has an area of 100in^2, and the angle between the two equal sides is pie/6.…

A: Solution is done in step 2

Q: Please show your complete solution and write readable thanks. A gardener makes a triangular planting…

A: Topic = Algebra

Q: Find when dy dx x(t) 1. 2. 3. 4. 5. 6. dy dx dy dx dy dx dy dx dy dx dy || = tlnt, y(t) 1+ ln t 2…

A:

Q: Use a graphing utility to graph the function. (Select the correct graph.) 8|x| x + 7 O -40 -40 f(x)…

A:

Q: Find the maximum and minimum values of f(x, y) = 3x + y on the ellipse x² + 36y² = 1 maximum value:…

A:

Q: (1) Approximate x²dx using (a) left endpoints, (b) right endpoints, (c) midpoints and n = 1000…

A: To find the left  , right endpoint and midpoint.

Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

A: Given function  f(x) = cos(x)  and x1 = 1.8

Q: Let f(x) = (3x+ln(x)) / x+3  Find f'(x)

A:

Q: II. For each of the following ellipses, find the center, principal axis, vertices, co- vertices,…

A: Concept: In mathematics, an ellipse is the location of points in a plane so that their separation…

Q: Consider the position vector of a moving particle. r(t) = (e-³t sin(t), e¯ -3t cos(t), 5e-3t (a)…

A:

Q: dx dy + x tan y sec y 1+tan y 1

A:

Q: 2) Let the function g be defined by g(x) = 5x²-3x-2 for all real numbers x € (-∞, ∞). 2x²+3 This…

A: We need to find critical points.

Q: Find lim h(x), if it exists. (If an answer does not exist, enter DNE.) X→∞ (a) (b) (c) f(x) = 3x² +…

A: