Find the slope of the tangent line to the parametric curve x= t³ + 4t at the | y = t² + 3t point t = -4

Q: For the equation sin x = cos(5x), use the Newton-Raphson method to find an approximate solution. Use…

A: To apply the Newton-Raphson method to find an approximate solution to the equation sin(x) = cos(5x)…

Q: Let f : R → R be a function defined as f(x) = ⌊x⌋, where ⌊x⌋ denotes the greatest integer less than…

A: Greatest Integer function: The greatest integer function is a function that results in the integer…

Q: The daily cost C' (in dollars) for a manufacturer to produce x electronic video components is given…

A: An increase of $39.44 Thank you  Let me know if you have any doubts Explanation:Step 1:

Q: Σ COS n=1 пп 2

A: Given that the series is

Q: Find the solution of the differential equation d² y 3. +4- dx2 dy dx - 4y = 0 a. y= Ae -3x 2x + Be²x…

A: b. y=Ae32x​+Be−2xExplanation:Step 1:Step 2: Step 3: Step 4:

Q: 4. [10 pts] The function Am is defined by Am(t) = A+ Blog(x + 10). The graph of the function goes…

A: A = -1.64386A=log20−15log20−7​ B = 6.64386B=log20−12​  Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Use the graph to evaluate the limit. lim f(x) X--1 12 OA 314 OB. 0 Oc. -1 O D. 34 OE. The limit does…

A: We need to evaluate limit.

Q: Use the linear approximation to estimate (3.03)³ (1.03)³ ≈

A:

Q: https://www.youtube.com/watch?v=rUdcUemO_oYhttps://www.youtube.com/watch?v=W2Y6aSwwVLY Following…

A: 1. The log of the ratio of solution ATo find the decay constant 'k': k = - (1/t) *…

Q: Question 9: Using the fact that i²= -1 and the identities: and cos(x)=(-1)" x2n (2n)!' n=0 x2n+1…

A: Given that To prove

Q: Solve the system of equations 2x - 8y = 148 1x9y=152 by converting to a matrix equation and using…

A:

Q: Solve the following logarithm equation. There will be two integer solutions - one w be a valid…

A: The given equation is

Q: Match the following log expressions to their correct evaluation. 1. 5 1+In(e²)-3log2(4) In(e³) 2. 4…

A:

Q: (a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1,…

A: for question a see the attachment for explanation and answerafter plotting the points on the graph…

Q: Do not round until the final answer. Then round to the nearest hundredth as​ needed

A: So the required answer is t=25.60 [rounded to the nearest hundredth]Explanation:Given that…

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The condition of existence of the limit at

Q: #10 For the surface x³-2xz+y4+1=xy do: (a) Find the tangent plane at point (1,1,1),, Find…

A: (a) Equation of tangent plane at point (1,1,1) is: y=1(b) Equation of normal line at the point…

Q: Round to one decimal place as​ needed.

A: The objective of this question is to find out the time required for an investment to double if it is…

Q: - The Parametric equation of the line that passes through the point A(1, 1, 1) and parallel to the…

A:

Q: Given the function f(x) = 4x3 sin(x) — 1, has a solution a in the interval (0.7, 0.8) given in…

A: (a)A=41​,B=43​(b)x2​=0.7612x3​=0.7673Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Express the given rational function as a sum or difference of simpler rational functions

A: The required answer is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the integral. (Use C for the constant of integration.) cos dx COS -x cos-sin()+C x

A: The given integral is .We can solve this integral by integrating by parts formula method.Integration…

Q: During each cycle, the velocity v (in meters per second) of a robotic welding device is given by v =…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The exact area of the parallelogram is 726​. The approximate area of the parallelogram is…

Q: how did we find 100/3

A:

Q: If possible, find the number k so that f is continuous at every point. 3x+3, x<-2 f(x)= kx+6, x≥-2

A:

Q: Express log3A, where A = numbers. 14 4 in terms of the logarithms of prime 7 √20 √/148 attempt left…

A: Refer the image posted in explanation for the answer .If you have any further questions or if…

Q: Find the volume of the following solids.   The base of a solid is the region between the curve y…

A: The objective of this question is to find the volume of the given solids. The base of the solid is…

Q: If 0=28°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: based on the information provided, the approximate distance between cities A and B is 1955…

Q: Give your final answer in interval notation. Determine the intervals where the graph of f(x)=x+3/x…

A: To determine the intervals where the graph of  is concave upand concave down.Note: Since you have…

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 7…

A: We have to find the motion of the particle: .Clearly, for different values of t we can get different…

Q: #6: A particular solution of the differential equation _y" – 12y + 35y = ex cosx has the following…

A: Option E ) e7x(Acosx + Bsinx)Explanation:Step 1:Given non homogeneous differential equation has…

Q: The Parametric equation of the line that passes through the point A(1, -1, 1) and parallel to the…

A: Given that line passes through the point A(1,−1,1) and parallel to vector v→(1,0,1)To find:…

Q: * x f(x) f'(x) 1 3 1 2 -1 3 3 3 3 5 -2 4 -2 4 5 4 -2 The table above gives values of f and its…

A: a)we can estimate the value of f'(1.5) to be 1.b)Why must there be a value c for 1&lt;c&lt;3 for…

Q: Show that the pyramids cut off from the first octant by the tangent planes to the surface xyz=5 at…

A: Given surface equation The equation of tangent plane to the curve at point  with normal vector  is

Q: Problem #3: Consider the following function. f(x, y) = 2x3+24xy-12y2 (a) Find the critical points of…

A: Refer explanationExplanation:

Q: Examine the function and a A point C1 y= -Incx)

A:

Q: The vectors (2,10, 4) and (1, 3, x) are orthogonal if and only if x= -8. Ignore "Give your reasons"…

A:

Q: Use a half-an le formula to find the exact value of tan 105°. tan 105° = 0 G

A: .

Q: 6. Sketch an even continuous function with all of the following features: • Absolute minimum at -5 •…

A: Function is even continuous  function.  Absolute minimal at -5 Zeroes at 4 and -4y- intercept at -23…

Q: Below is the graph of the function f (a) and a table of the graph of g (a). Solve the equation f…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Question 15a. The initial population is 450.b. The population of the colony at 5 hours is 1725.c.…

Q: dx Assume that x = x(t) and y = y(t). Let y=x3+2 and =5 when x=3. dt dy Find when x=3. dt dy…

A:

Q: Given the updating function as shown below, find the first three values of the sequence when the…

A: 1) x_1 = 10,x_2 = -38,x_3 = 154 2) Pe= -4, 2Explanation:To find the first three values of the…

Q: In this question you will find a general formula for the following: fx" (In(x))² dx where n is an…

A: The given integral is

Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The required value of directional derivative is 2.3 ( in decimal). In fraction: Directional…

Q: Let f: R -> R be a function defined by function in the image. (a) Find the zeros of (f) and…

A: Given: To Find: (a) To find the zeros of f and to determine where it is positive and where it is…

Q: What does the funtion N = grad(s) mean.  What does grad do ?

A: The function N = grad(s) is a mathematical expression that is used in the field of calculus,…

Q: help with question.

A: The total profit for the second 6-month period is $18660.Explanation:We find the total profit for…

Q: #3 Given f(x, y)=3x-1, Po (2,-1) (a) find f(xy), (b) evaluate of (2,-1), () find | f (2,-1), (d)…

A: Ans 3 (a): ∇f=⟨∂x∂f​,∂y∂f​⟩=⟨3,y21​⟩ (b): ∇f(2,1)=⟨3,1⟩  (c): ∣∣∇f(2,−1)∣∣=(3)2+(1)2​=10​   (d): The…