Find f such that f′(x)=8x​, ​ f(4​)=47.

Q: Question Find the equation of the tangent line to the curve defined by the equations * = exact…

A: Here we have to find the equation of tangent line.

Q: Video Example < EXAMPLE 1 Evaluate F. dr, where F(x, y, z) = -4y²i + 3xj + 5z²k and C is the curve…

A:

Q: f(x)=0 for x EQ and f(x)=x otherwise. We can conclude f is not integrable on [-1,1] sim

A: In this question we will use basic concepts of calculus i.e concepts of integration and continuity.…

Q: Question 8 of 25 > Find the derivative of the function f. 3 √x f(x) = O At

A:

Q: Find the value of() for a solution (x) to the initial value problem: y"" − 3y" + 4y' – 2y = 0; y(0)…

A: In this question, we want to solve the third order homogeneous differential equation.

Q: Find both first partial derivatives. f(x, y) fx(x, y) = fy(x, y) = ху ,2 x + ,2

A: Find the partial derivatives

Q: Evaluate I C: arc on y = x³/2 from (0, 0) to (4, 8) (2x −y) dx + (x + 3y) dy.

A:

Q: r = graph (8-2) i+ 10tj O It is a line in 2-space through the point (-2, 10) and parallel to the…

A:

Q: Question 1 Evaluate the following limits: lim x-3 (x³+4x-13) lim x →-6 lim x²-36 x+6 2x² + 3x³ - 2x²…

A: Use l hospital rule

Q: 6. DETAILS ZILLDIFFEQMODAP11 4.5.045. Solve the given differential equation by undetermined…

A: To find out the solution of the differential equation by using the undetermined coefficients.

Q: fy X = = 11 f(x, y) = (x² + y2)2/3

A: Given the query is to find indicated partial derivative.

Q: If two objects travel through space along two different curves, it is often important to know…

A:

Q: Admission to a baseball game is $5.00 for general admission and $6.50 for reserved seats. The…

A: Let x be the number of general seat tickets sold and y be the number of reserved seat tickets…

Q: 16.s) How long it will take for $39,440 to double if it is invested at 6.1% compound- quarterly?…

A: Topic = Algebra As per guidelines , At a  time only one question can be answered.

Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log₁11²1 b.…

A:

Q: Let y = sin (5x). If Ax= Ay~ = error = Find the percentage error - Question Help: Video Submit…

A:

Q: 48. Find AB in CO A. 10/2 B. 20√2 C. 10 D. 20 20

A:

Q: At which points does f(x) = 2 sin x - cos 2x have an absolute maximum value and what is the maximum…

A:

Q: Evaluate the line integral C:y² = 30x from (30,30) to (0,0). NOTE: Enter the exact answer. [-ydr +…

A: line integral

Q: Let f(x) = - 3x(x − 1). Then use the LIMIT definition to find the derivative, showing your work:…

A:

Q: Find the value (2) for a solution (2) to the initial value problem: y(lnx In y 1)dx + xdy=0; y(1) =…

A:

Q: Use the graph to determine the intervals on r concave downward. 10 4 1.5 X 10 а.

A: Here we have concave upward and concave downward.

Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: f(x)=y=x9-9x

Q: What is lim x=inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^(3n)] + 2? (express answer as x,y)

A: Solve the following

Q: Find an explicit solution of the given initial-value problem. dx - = 7(x²+1), x(77) = 1 - dt x = tan…

A:

Q: Sketch both parametric curves below. Then determine if they intersect. If they intersect, find the…

A:

Q: 14. est 3 comment The critical numbers x = -7 and x = 5 are found from a continuous function f'(x).…

A: The critical numbers x=-7 and x=5 are found from a continuous function f'x f''(x)=1-x3x+6

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A:

Q: Question 4 of 8 View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is…

A:

Q: provide

A: Please refer to the image below

Q: Solve: x"-x+ 5 y'=t y" - 4 y-2x' = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

A:

Q: The volume of a right circular cone of radius x and height y is given by V volume of the cone is 247…

A: To find dydx

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

A:

Q: Find V. (Fx G), if F(x, y, z) = 4xi+j+13yk and G(x, y, z) = xi + yj – zk. V. (Fx G) =

A:

Q: Determine the vector field of F. F(x, y) = yi-xj X X

A: Solution: F(x,y) = yi - xj We can sketch it by looking at a small number of vectors to get a general…

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A:

Q: A dolphin dives down into the ocean and resurfaces along a path that is modeled by x² - 8x + 4y = 0,…

A:

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

A: We need to find Laplace transform.

Q: Find a Maclaurin series for f(x). (Use F(x) = f* √ 1 + 1³ dt *² ² + Ë Σ 8 n = 2 f(x) = x + (2n)! 2n!…

A:

Q: 5. L Evaluate [F DETAILS F. dr. LARCALC11 15.2.029. F(x, y) = xi + yj C: r(t) = (5t + 8)i + tj, 0…

A:

Q: Match the vector field with its graph. F(x, y) = xi + 3yj mammon M T Pinnal bandill SEREN C -9 in C…

A:

Q: Evaluate the line integral curve C′ : x = 4 cost, y = 8 sint (0 ≤t≤7) NOTE: Enter the exact answer.…

A:

Q: Find curl curl (5z i + 6x j + 8y k) i 5 i i 6 (5z i + 6x j + 8y k). 8 = ( )i + ( )j + ( )k

A: Given that a vector 5z i^ + 6x j^ +8y k^ We have to find a curl of this given vector. Curl of a…

Q: Verify Green's Theorem by evaluating both integrals for the given path. + ON ax C: rectangle with…

A: In this question, we want to verify the green's Theorem.

Q: Large Pizza Prices ($) 0 10 12 14 16 18 20 22 24 2 0 1 2 3 4 5 6 7 8 9 10 Number of Toppings What is…

A:

Q: Use Green's Theorem to evaluate the line integral Ico (y - x)dx + (2x - y)dy for the given path. 3π…

A: Solution is given below:

Q: Evaluate the definite integral. [²³ sin5(x) dx Step 1 6.² sin5(x) dx, first rewrite the integral. To…

A:

Q: II. Consider the points P(1,0, 3) and Q(5, 2, -1) and the line 1: x = -7-2t y = t 2 = 9+t 1. Find…

A:

Q: nd the volume of the solid generated by revolving the region bounded by the given line and curve…

A: Topic:- application of integration