Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 7 sec(x) - 7 cos(x) = 7 sin(x) tan(x) - 7 cos(x) 7 sec(x) - 7 cos(x) = = = 7 cos(x) 7 (1 - cos(x) cos(x) = 7 sin(x) tan(x) X sin(x) cos(x)

Q: Suppose that f(x) = 6x + 3x². Evaluate each of the following: ƒ'(2)= f'(-1)=

A:

Q: The standard form of 3dy – xydx = 3y³e¹x/³ by Bernoulli's equation is: dx A d 2=3e dy ху B D…

A: Solution : Given that

Q: Determine the vector and parametric equations of the line through A(6,2,5) and B(9,2,8)

A: Given points , A(6,2,5) B(9,2,8) Therefore a=6i+2j+5k b=9i+2j+8k

Q: Find fxx fxy, fyx and fyy, for the following function. (Remember, fx means to differentiate with…

A: The objective of the question is determine the second order partial derivative.

Q: 7. Use the method of Lagrange multipliers to find the volume of the largest rectangular box in the…

A: Given question :- Find the maximum volume of rectangular box that can be inscribed in this ellipse.…

Q: F.T. 3) If X(t) 4² _y(t) = x (2+-1) -it Ans: Yow) = + X(W) and X (W) = --J(W+1) W+1 [4+j(W+1)]² 2 (2…

A: Given that, Forior transform of x(t) is x(w). And x(ω)=w(2+jω)2 If y(t) = x(2t-1)e-jt  Then We have…

Q: Find the derivative where w=5xyz, x=2t, y=4t, and z=3t-³. dw 1 dt dw dx (Type an expression using x,…

A:

Q: Find the minimum distance from the point (0,0,0) to the plane 9x+4y+z=5.

A:

Q: Suppose that f(x) = J'(-2) = f(1) = 6x + 16 x Evaluate each of the following:

A: Recall: Quotient rule y'=vu'-uv'v2 We have, u=6x+16, v=x

Q: dw Find using the appropriate Chain Rule for w = cos(4x−4y), where x = tº and y = 3. dt

A:

Q: n = 2 ( xcct) · cos (nwot) at O = 2 + 25² 25+ (1+) Cos (2nrrt) dt 1² (1-6) -2 = 21 - ² = 2) - (t-1)…

A:

Q: m 10. PREVIEW ONLY -- Find an equation of the tangent line to the curve y = 9° at the point (1,9).…

A:

Q: Examine the graph of (a) below, and find the values given below. If the limi below CH does not exist…

A:

Q: Write a polar equation in rand of a hyperbola with the focus at the origin, with the eccentricity 2…

A:

Q: Let y = tan(4x + 3). Find the differential dy when x = 3 and dx = 0.3 Find the differential dy when…

A:

Q: Verify the identity. (Simplify at each step.) 8 cos COS[(π/2) - X] sin [(1/2) -x] 8 COS[(π/2) -x]…

A: You must have idea about the basics of trigonometry formula in order to understand this problem.

Q: Examine the graph of (a) below, and find the values given below. If the limit does not exist write…

A:

Q: For each system of equations, determine if there is an intersection and classify it (point, line, or…

A:

Q: The position of a car traveling along a highway is given by the function s(t) = 2t² - 6t+ 3 where t…

A:

Q: Let u =(3,-4) and v= (-1,-4). Express u+v in the form (a,b). u+v= (Simplify your answers.)

A: The objective of the question is evaluate the sum of given vectors .

Q: 6. S ze 4z² dz

A:

Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

A:

Q: m 16. PREVIEW ONLY -- ANSWERS NOT RECORDED Find an equation of the line tangent to the curve defined…

A:

Q: Graph the parabolar = 3/(2 + 2 sin Select the correct answer. O I

A:

Q: dy dx for A B y=23√x²-3arcsin(x³) True False 2 9x² 33/x /1-x6

A:

Q: What is th epurpose of the second step where you multiply and divide by square root 2? Why doesn't…

A:

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

Q: Find the equation of the line tangent to the graph of f(x) = −2x² + x + 3 at x = 1. Provide your…

A:

Q: A linear function is given. g(x) = −6x + 2 (a) Find the average rate of change of the function…

A:

Q: - NASA launches a rocket at t 0 seconds. Its height, in meters above sea-level, as a function of…

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Evaluate the limit using the Basic Limit Laws and the limits limx→xplq = c/a and limx→ck = k. (Give…

A: The answer is given below:

Q: If the angle of the moon is decreasing at 0.25 radian per hour, how fast is the shadow of a 150 ft…

A: If the angle of the moon is decreasing at 0.25 radian per hour, to determine how fast is the shadow…

Q: Consider the following series. n= 1 (a) Use the sum of the first 10 terms to estimate the sum of the…

A: Given an =1/n^5

Q: 4. Find the limit, if it exists or show the limit does not exist: a) b) lim 47,² (x,y)(0,0) x + y…

A:

Q: Test the series for convergence or divergence. 8 Σ· n = 1 2 n

A:

Q: Find the derivative of the function. f(x) = arcsin(8x) + arccos(8x)

A:

Q: 2. Find the curvature of f(x)= x cos²x at x = π

A: The solution is given below

Q: Determine the principal P that must be invested at rate  r = 3 1 2%,  compounded monthly, so that…

A:

Q: A 19 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time t = 0…

A:

Q: Suppose you use Newton's Method to approximate a solution for f(x)=x³-4 with an initial guess of Xo…

A:

Q: Evaluate the iterated integral below. 1 S. * S'y cos 0 0 y cos (x) dy dx

A: Given, ∫0π4∫01y cos(x)dy dx

Q: Consider the following equations. f(x) = x5 + 3 g(x) = x + 3

A: Here we have to plot a graph.

Q: 3. Find V x F for F(x, y, z)= -x2 i + x² + y² -yz x² + y² =j+√x² + y²k.

A:

Q: Find the relative maximum and minimum values. x²+4y² +14 f(x,y)= e Select the correct choice below…

A: Accordinh to question,Given Function,fx,y = ex2 + 4y2 + 14

Q: dw Find the derivative where w=5xyz, x=2t, y=4t, and z=3t-³. 1 dt dw dx (Type an expression using x,…

A:

Q: Find the equation of the tangent line to the curve y = 8 sina at the point t ( 77, 4). The equation…

A: The curve y=8 sinx at the point π6,4

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.

A: Solution of given question is written in below steps.

Q: Part II (10%) - True or False. For each statement, select T if the statement is true, or select F if…

A: Given question:-  For each statement, select T if the statement is true, or select F is statement is…

Q: Find the solution of the given initial value problem: y(t) = y" + y = sec(t), y(0) = 11, y'(0) = 5,…

A:

Q: The particular solution of (2x+3)y'=y+ (2x+3) ¹/2 ; y ( − 1) = 0 using LDE is A B C D -2y=√√2x +3 In…

A: Please see the below picture for detailed solution.