Find the curve's unit tangent vector. r(t) (2 cos ³)+(2 sin ³1) k. Find the curve's unit tangent vector. T(t)=+K (Type exact answers, using radicals as needed.)

Q: The curve y=f(x) is shown below. In which region(s) of x is f(x) increasing? A. −1<x<1, x≠0…

A: given a function f(x)

Q: An ice cream parlor serves 26 flavors of ice cream and 9 flavors of frozen yogurt. They could come…

A: The objective of the question is to find out the total number of different choices available at the…

Q: Use Linear Approximation to estimate Af = f (9.02) - f(9) for f(x) = x4. (Use decimal notation. Give…

A:

Q: Find the points on the surface 5x² + 1y²+4z² = 1 at which the tangent plane is parallel to the plane…

A:

Q: Theorem: Quotient Rule If f(x) = T(x) B(x) is the quotient of differentiable functions, then. f'(x)…

A:

Q: Find equations of the following. x² - 2y²+ x² + y = 5, (5,3,-2) (a) the tangent plane (b) the normal…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:

Q: 1) Write an equation of a function that meets the given conditions (a) x - intercept: (1,0), (3,0);…

A: Given conditionsx-intercept  ,vertical asymptotes , horizontal asymptote x-intercept  ,vertical…

Q: Given the series: 1 1 k k+3 k=6 does this series converge or diverge? diverges converges ×

A:

Q: Solve the given integral equation or integro-differential equation for y(t). y' (t) +27 (t-v)y(v)…

A: The objective of the question is to solve the given integro-differential equation for y(t). The…

Q: When the cross product between any two vector is zero then these vectors are perpendicular Ignore…

A: Give statement "When the cross product between any two vectors is zero then these vectors are…

Q: Let the function: f: R → (0, ∞), f (x) = ex+3 Show that f is one-to-one correspondence (bijective)…

A:

Q: Simplify. CSCX CSCX CO Use algebra and the fun mental trigonometric identities. Your answer should…

A:

Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

Q: The sides of a square carpet is measured at 2 ft. Estimate using the Linear Approximation the…

A:

Q: Calculus 1 Question. Please help   Thank you

A: Ans : dxdy​=6cos6xExplanation:Explanation:

Q: 29 Find the area under the curve y = from x = 1 to x = t. Evaluate the area under the curve for t =…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The problem involves finding the dimensions of a lidless square-based box with a volume of 4000 cm³…

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to find the logical equivalence of the statement 'q implies p'. In…

Q: Notice this is the graph of the derivative of g not the graph of g itself. Answer the following…

A:

Q: I need help with this

A: Magnitude of all three required complex numbers are 52​Explanation:Approach to solving the question:…

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine the truth value of the logical statement (Q and P) →…

Q: Consider the definite integral Cx3 dx 0 How many partitions would be needed to approximate this…

A: The given integral is The error bounds for the midpoint rule If  and  be the error in the mid point…

Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: If you've any doubt comment below-Explanation:

Q: Let us model the number of automobile sales in a developing country as N(t) 158,000…

A: a) 22899 cars at 2010b) 122566 cars at 2020c) cars sales stabilize at 158000 cars.Explanation:

Q: Find the value of the constant C for which the integral converges. Evaluate the integral for this…

A:

Q: A construction firm wants to buy a building site and has the choice between three different payment…

A: Since you have at least $67,000 available for a cash payment, option (a) might be initially…

Q: The graph of g′ is given below:  Answer the following questions about the graph of g based on the…

A:

Q: Give the function f(x)=x State what it means. Evaluate the one-sided limit: lim x₁+f(x).

A:

Q: 7) Find the derivative of x(x) = (2x+3)³ (2x+3)+2x+4 X + √ 7

A: Given that, we have to find the derivative of y(x).

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

A: .

Q: 3. Let f(x) = (x)* where a is any number where a > 0. a. Use Logarithmic Differentiation to find the…

A:

Q: Find d²y/dx²: y(x) 1 2x-1

A:

Q: Verify the identity. Show that cos (p+q) cos (p-q) = cotp cotg - 1 cotp cotg+1

A: Need to verify the identity.

Q: I need help with the plot. THANKS.

A: Answer is given below Explanation:

Q: A. Find the equations of the intersection line between the planes 3x + y z = 2 and x-y+2z = 3

A: Given two equations of planes3x+y−z=2 and x−y+2z=3To find: equations of the intersection line…

Q: 2) Examine the function (5) y= tan X XI2 1 Now approximate the slope of the tangent at x = 2.…

A:

Q: Pls help me with this word problem thks!

A: The objective of this question is to find the dimensions of the garden that will maximize the…

Q: 2. [6 pts.] Evaluate lim f(x) and lim f(x) for the function: f(x) xx (Hint: the limits will be…

A: Limit at infinity = 1 Limit at - infinity = 5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Use the Linear Approximation to estimate Af = f(4.7)- f(5) for f(x)=x -3x². (Use decimal notation.…

A: The given function is

Q: The derivative of the [Select] of two functions is the first times the derivative of the second,…

A: Consider that have two functions and . The product rule states that:where:- and are the two…

Q: Let : DCR² → R³ be a nice parametrization of surface S. We introduce the following notation: (a)…

A: Certainly! Here are the final answers for each part:(a) The formula ∣∣Tu×Tv∣∣2=EG−F2provides an…

Q: (b) Compute the frequency and probability distribution of X. x P(X = x) Frequency 50 125 150 225 300…

A: The objective of the question is to compute the frequency and probability distribution of X, where X…

Q: can you solve this question for me please

A: The objective of this question is to determine whether each of the given integrals is proper,…

Q: Give the probability distribution for the indicated random variable. (Enter your probabilities as…

A: The probability distribution of X is shown below.x23456789101112P(X=x) 1/36 2/363/36 4/36  5/36 6/36…

Q: 3 2 2(x + y)³ -✓ = 15 X

A: 2(x+y)3−y2x=15ddx[2(x+y)3−y2x]=ddx(15)

Q: 1) Calculate the derivatives using Implicit differentiation au ᎧᎢ and of (TU – V)²ln(W – UV) = 1 at…

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: base of a solid is bound by y=9x, y=36 and x=0 find the volume of the cross-section rectangle…

A: V=4032 cu. unitsExplanation:Given the equation of the base,y=9xy=36x=0  Solving for the volume of…

Q: For the function f(x) = 4+ 12x² − x³, find the local extrema. Then, classify the local extrema using…

A:

Q: Use direct comparison test or limit comparison test 00 n = 1 1 + cosn n 2

A: