From curve equation y=x²-2x+1 at (2,1) Find?

Q: Let z(x, y) = -2e* sin(y) where x = t² & y = 6nt. dz da dy by first finding & and using the chain…

A:

Q: Find all local extrema for the function f(x,y)=x²-15xy+y³. Find the local maxima. Select the correct…

A: The given function is

Q: lim √x+2 does not exist when OC = 4 O the limit exists for any c O c = 0 C = 2

A: We have f(x)= (X+2)1/3      We have to find value of 'c' for which limit of f(x) exist as x…

Q: Evaluate the iterated integral. 4 2z (In(x) kho xe Jo Jo xe Y dy dx dz

A:

Q: The curves r₁(t) = (3t, t¹, 2t³) and F₂(t) = (sin(–5t), sin(2t), t — π) intersect at the origin. ㅠ…

A: These derivatives represent tangent vector to the curves at the origin.

Q: A function and its first and second derivatives are given. Use these to find each of the following.…

A:

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a circle of radius r =…

A: Find the dimensions of the rectangle of maximum areathat can be inscribed in a circle of radius…

Q: Find the derivative of f(x). ƒ(x) = 3xª sec(x) ƒ'(x) =

A: To find the derivative of the following function.

Q: For [2x]-10 with an ɛ = .1, 6 = F ostly sunny I- 0.05 0.1 0.2 this is not the limit Q Search

A:

Q: 12, y = xsin ²x (Ans. sin² x + x sin 2x)

A:

Q: The extreme values of f(x, y) = 4x +y on the disk æ² + y² ≤ 1 are: absolute minimum value absolute…

A: The given function Let

Q: The average rate of change of y with respect to x over the interval [0, 3] for the function y = 3x +…

A:

Q: If f(x) = = then 2 f'(x)=x8 f'(-3) = to dt > Next Question

A:

Q: Calculate the gradient. g(x, y) = Vg = 3x x² + y² (Use symbolic notation and fractions where needed.…

A: The solution is shown in step-2

Q: please clear it

A:

Q: A function and its first and second derivatives are given. Use these to find each of the following.…

A:

Q: If f(x) = √7x + 9, find f'(x).

A:

Q: If f(x) = sin) and g(x) = 3sin-¹(x) Calculate: a) fog(x), show all the steps b) gof(x), show all the…

A: If  and , to calculate the following.(a) (b) (c) To explain the relationship between  and .

Q: 14. Assume that is a differentiable functions are < for all ze [a, b] in the first quadeant Which of…

A:

Q: Use l'Hôpital's Rule to find the limit 3-3 sin 0 2+2 cos 20 lim E|N 0-2 3-3 sin0

A:

Q: The owner of an orange grove must decide when to pick one variety of oranges. She can sell them for…

A:

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A:

Q: If f(x) = 4x(sin x + cos x), find ƒ'(x) = f'(4) =

A:

Q: Р Find the directional derivative of the function fo the vector (3,-3).

A:

Q: 1. Given: ³√4+x³dx a. Approximate the integral using Trapezoidal rule. b. Approximate the integral…

A:

Q: Evaluate the limit along the stated paths, or type "DNE" if the limit Does Not Exist: xy + y³ lim…

A:

Q: O 22 I √x+1= ?

A: Given data

Q: Let f and g be differentiable. Using the given information, compute for K'(2) when K(x)=f(x)g(x).

A: given K(x)=f(x)g(x) To find : K'(2)

Q: If f(x) ƒ'(x) = ƒ' (2) = = 3 sin x 3 + cos x then

A:

Q: 19. Solve the system of nonlinear equations by graphing and give the points of intersections if any.…

A: The given inequality

Q: Evaluate the definite integral. lo' (e1¹341 + 13 0 ¹i+e¹¹j + tk dt

A: The solution is shown in step-2

Q: Let s(t) = 6t³ - 36t² + 54t be the equation of motion for a particle. Find a function for the…

A:

Q: 1. ,* (x³ +3) dx

A: To evaluate the following integral.

Q: State the domain and range of the function f(x) = 13+ log7(x) Answer: domain= range = ↳ ✓

A:

Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a…

A:

Q: (Integration) 7.3.9) Find Integration by Parts

A:

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8). a. How many subsets of A are there? That is, find |P(A)|. b. How…

A: because as per guideleines we are supposed to answer only first three sub parts.

Q: Find the directional derivative of f(x, y) = √√/7x+ 5y at the point (4,0) in the direction -2п 3…

A: We have to find the directional derivative

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Domain of a function is the set of values for which the function is defined.The argument of a…

Q: what, if anything, does the comparison tell us about the convergence of the integral? Jo √x dx,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The table below implies lim f(x) = 3 X-8 X 7.9 7.99 8 8.01 8.1 f(x) 2.5 2.87 0 3.02 3.1 O True O…

A: The meaning of the notation  means that as x approaches the value a irrespective of any path the…

Q: A fishing boat leaves a marina and follows a course of S64°W at 9 knots for 20 min. Then the boat…

A: A fishing boat leaves a marina and follows a course of  at 9 knots for 20 min. Then the boat changes…

Q: Suppose that the power series Cn (x-2)" converges when a = 4 and diverges when x = 8. n=0 In each of…

A:

Q: Integrate G(x,y,z) = z over the parabolic cylinder y=z², 0≤x≤ 4, Oszs√2.

A: Integrate G(x,y,z)=zover the parabolic cylinder y=z2,0≤x≤4,0≤z≤2.

Q: il - Y = 2 π +4π-8 4π 256 36π x cm cm

A: Calculate the value of Mass(M):-

Q: Consider the following theorem. Theorem If f is integrable on [a, b], then [f(x) dx = lim Σ f(x) ΔΧ…

A:

Q: En cos -845 SB losed road O does not exist when C = -1 c = 1 O O the limit exists for any cd O c = 0…

A:

Q: Given the following rectangular prism, express each of the following as a single vector. G F a)…

A: Note : As you posted multiple sub parts I need to solve only the first three sub parts.

Q: Please show your answer to at least 4 decimal places. Determine the gradient of f(x, y) = e³ sin(4y)…

A:

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A: The solution is shown in step-2