The parametric equations of the function are given asx=asin²0, y = acos). Calculate [Let: a=anumerical coefficient] dy d²y and dx dx2

Q: 4.5 Derivatives of Logarithmic Functions 1. Find the derivative of each function. a) y=ln (-3x) b)…

A: Step 1: concept  Step 2:solution of (a) and (b)Step 3: solution of (c)  Step 4:

Q: help on this integral below?

A:

Q: Find all values of x for f (x)=(x²-4) 4 where the tangent line is horizontal. 5. Find the slope of…

A: 4) To find all values of x where the tangent line to the functionf(x)=(x2−4)4is horizontal, follow…

Q: Let f(x) = -5x-1, g(x) = x² + 5, h(x) = · x+4 3 Find (hog of)(1). (hogof)(1)= (Simplify your answer.…

A: We need to find (h∘g∘f)(1) i.e., h(g(f(1)))Step 1: Compute f(1)f(x) = -5x - 1 f(1) = -5(1) - 1 f(1)…

Q: The graph of f', the derivative of f, is shown in the graph below. If f(-9) = -5, what is the value…

A: In calculus, the derivative of a function at a certain point gives the slope of the tangent line to…

Q: 15. Please solve this and show each and every step please. PLEASE no chatgpt can I have a real…

A: The given function is F(r, s, t) = ln(r+t) * (r+s+t). This is a multivariable function, which means…

Q: Enter your answer in interval notation. No decimal entries allowed. Type oo (lower case o) for ∞ and…

A:

Q: Question Consider the graph of f(x) below. Over what open interval is f'(x) positive? Give your…

A: If you have any problem let me know in the comment section thankyou.

Q: 3. Solve the inequality, and give your answer in interval notation. - (x − 4)³ (x + 1) ≥ 0

A: We are given the inequality:  (x−4)3(x+1)≥0  Step 1: Find the Critical PointsSet the expression…

Q: H.w WI M Wz A Sindax Sind dy max Утах at 0.75m from A w=6KN/M L=2 W2=9 KN/m P= 10 KN B Make the…

A:

Q: On from the equation: 2 u = C₁ + C₂ Y + Czy + Cu y³ Find C₁, C₂, C3 and Cy Using these following…

A:

Q: A ladder 27 feet long leans against a wall and the foot of the ladder is sliding away at a constant…

A:

Q: Given f(x)=1/x-1 and g(x)=1/x+3, the domain of f(g(x)) in interval notation.

A: To find the domain of the composite function f(g(x)), we need to determine all values of x for which…

Q: Please send me the answer for this question in clear way.

A:

Q: Explain how to solve all solutions of y"(x)+ay'(x)+by(x)=0 when the Characteristic Equation…

A: When solving the second-order linear differential equation y′′(x)+ay′(x)+by(x)=0 with the…

Q: Approximate graphically the radius and height of a cylindrical container with volume 50 cubic inches…

A: Explanation:

Q: -d.x tan x

A: Given Integral:                                              I=∫02π​​tanxx​dx Direct integration is…

Q: (10 points) Let S be the upper hemisphere of the unit sphere x² + y²+2² = 1. Let F(x, y, z) = (x, y,…

A: Let's solve the surface integral  ∫S​F⋅dS where: S  is the upper hemisphere of the unit sphere…

Q: Solve please and thanks!

A: (C) If you have any questions let me know in the comment box thankyou.

Q: Solve y"+6y+10y= 0, y(0) = 4, y'(0) = 16 y(t) =

A: The given differential equation is a second order homogeneous linear differential equation with…

Q: A particle travels along a straight line path given by s=9.5t3-2.2t2-4.5t+9.9 (in meters). What time…

A: 1:

Q: Let C be the intersection of the cylinder x² + y² = 2.95 with the plane z = 1.13x, with the…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Evaluate the integral using integration by parts. Stan (13y)dy

A: We evaluate the integral  I=∫tan−1(13y)dyusing integration by parts by using the…

Q: Use the two methods "real number solution space basis" and "complex solution space basis"…

A:

Q: Find the one sided limit Tim f(x) where f(x)= (2x-1 X>1+ *<I +3+2x² 1≤x<4 3x+2 4≤x

A: Step 1:To find out the one-sided limit,limx−&gt;1+​f(x)From the given piecewise function, take the…

Q: eliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the…

A: Explanation:

Q: the correct answer is A could you show me how to solve this using gauss theorem of divergence

A: Step 1: Compute the Divergence of F: div F=∂x∂​(5x−3y)+∂y∂​(2x−5y)+∂z∂​(x2+y2+3z)=5−5+3=3. Apply the…

Q: (12 points) Let E={(x, y, z)|x²+ y² + z² ≤ 4, x, y, z > 0}. (a) (4 points) Describe the region E…

A:

Q: use a graphing utility to sketch the graph of the function and then use the graph to help identify…

A: If you have any help please let me know in comment box thankyou.

Q: 3 4/3 3213 + 8 for 1 ≤x≤8. Find the length of the curve y=x

A: To find the length of the curve  y=43​x4/3−83​x2/3+8 for 1≤x≤8, we need to compute the arc length…

Q: Consider the following functions. g(x) = x + √3x h(x) = 3x-5 x + √3x f(x) = = 3x-5 Find the…

A:

Q: 21. Determine for which values of m the function (x) = x™ is a solution to the given equation. a.…

A: Note  why x=0 : because when x=0, and m=-3,  x−3 is undefined. So in general this is valid for…

Q: Let y(t) represent your retirement account balance, in dollars, after t years. Each year the account…

A: First, let's identify the variables and constants in the problem:y(t) is the retirement account…

Q: on donne f(x) da fonction derive dhe do fonction fcsos calcule f'(x) orans chacun des Cas sulants: 3…

A: 1.  f(x)=5x−11 Derivative:  f′(x)=dxd​(5x−11)=5    2.  f(x)=−x3 Derivative: f′(x)=dxd​(−x3)=−3x2…

Q: Please see image for the questions.

A: Given that the population increases by 25% each spring and 10000 lobsters are removed each summer,…

Q: "Use the Opposite Method to solve the following differential equation:" 4'"""" + 34" + 34 + 4 = x

A: Step 1:  Step 2: Also it can be solved by Method of undetermined coefficient. Step 3: Step 4:

Q: Question 2 (A partial differential equation). The diffusion equation де Ət = 82 с მx2 where D is a…

A: 3. Calculate ∂c/∂t (Partial Derivative with Respect to…

Q: Find the limit lim X-700 4 13x-15 3x4+x³-12

A: We find the limit of the given function:limx→∞​3x4+x3−1213x4−15​ Step 1: Identify the highest power…

Q: 21. First-Order Constant-Coefficient Equations. a. Substituting y = ert, find the auxiliary equation…

A: a. The given first-order linear differential equation is :ay′+by=0where a and b are constants with…

Q: Use the circle to find exact value of each trigonometric function (number 16)

A:

Q: Number 9 pls

A: Step 1: Step 2: Step 3: Step 4:

Q: Question 1 (1pt). The graph below shows the velocity (in m/s) of an electric autonomous vehicle…

A:

Q: Question 3 Rewrite 4 = log₂(16) in exponential form. Question 4 症 If log, (6x+3)= 4, then r

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve y"-2y+26y= 0, y(0) = 2, y'(0) = -13 y(t) =

A: Rewrite the differential equation into its characteristic equation and solve for the…

Q: Let h(x, y, z) = — In (x) — z y7-4z - y4 + 3x²z — e²xy ln(z) + 10y²z. (a) Holding all other…

A:

Q: 6. Given the following graph f(x). (-2,2) 2- -5 -3 -2 (-2,-1) -1 (0,1) -2- 1 (3,0) 2 3 4 5 (3,-1) א…

A: (a) f(−2)This notation suggests the function value at x = -2.Notice that there are two values of f…

Q: You guys solved for the wrong answer. The answer in the box is incorrect help me solve for the right…

A: [Note: Here P is a function of t not x. In answer box type t instead of x.]

Q: In Problems 10-4, use the method of undetermined coefficients to determine the form of a particular…

A:

Q: Consider a body of mass m dropped from rest at t = 0. The body falls under the influence of gravity,…

A:

Q: = Question 4 (5pt): The Orchard Problem. Below is the graph y f(t) of the annual harvest (assumed…

A: (a)(b)(c)