Question Find the linear approximation L(x) of the function f(x) (Enter an exact answer.) Provide your answer below: L(x) = ---2-³ at a = -1. == FEEDBACK MORE INSTRUCTION SUBMIT

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: Let D the region in the first octant bounded by the hyperbolas (xy= 1, xy = 3), and the two planes…

A: Given Data xy = 1 xy = 3 y = 2x y = 4x Z = 4

Q: DETAILS ZILLDIFFEQMODAP11 1.2.008. In this problem, x = c₂ cos(t) + c₂ sin(t) is a two-parameter…

A:

Q: Let y = 3x². Find the change in y, Ay Ay when x when x = = 5 and Ax = 0.3 Find the differential dy…

A: Given f(x)= 3x2

Q: c) = = 4x + 1. If the limit does not exist enter DNE. ] lim h→0 ƒ(6 + h) − ƒ(6) h

A: Topic:- calculus

Q: Solve: x"(t) + 2x'(t) + x(t) = 3t e-t x(0) = 4, x'(0) = 2 Evaluate: F(2) = Evaluate: f(1) =…

A:

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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:

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: Find the general solution of (x + xy²)dx + ye²² dy = 0. O ln(y² + 1) — 4e-2²² = c - O e²+2 ln(y² +…

A: I am attaching image so that you understand each and every step.

Q: The marginal average cost of producing x digital sports watches is given by the function C'(x),…

A:

Q: sin 2xdx 2+cosx

A: Our Aim is to evaluate the given indefinite integral using U-Substitution.∫sin (2x)2+cos (x)dx-(i)

Q: X- 2 me graph below. on graph to enlarge) 110 1,0

A: Topic:- calculus

Q: Evaluate the limit ALGEBRAICALLY (by simplifying), NOT just by graphing: lim h→0 (6 + h)² - 36 h

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: . Which of the following is an orthogonal pair of vectors? A. (1, 0, 1) and (1,1,0) B. (1, 1, 0) and…

A: The vectors a and b are said to be orthogonal vectors if their dot product is 0.

Q: Find div F and curl F if F(x, y, z) = 6evi-3 cos y j + 4 sin² z k. div F= curl F=

A:

Q: A marketing specialist determines that when a certain product is released, the number of social…

A:

Q: sider the following function. y = 6x In(x) y'(x). () = dy"(x). x) =

A:

Q: Let f(x) = (x³ +25)/4. The arc length of the graph of y = f(x) over the interval [6, 10] is given by…

A:

Q: Find T(t) and N(t) at the given point. t x = e¹ cost, y = e¹ sint, et sint, z = zet; t = 0 T(0) N(0)…

A:

Q: A trader buy's 80 mangoes. she finds that 8 are bad and a further 22 are unripe ,show on a pie chart…

A: Given data:- Total number of mangoes = 80 Bad mangoes = 8 Unripe mangoes = 22

Q: 7. √x³ + 2x³-3x dx (x²+1)³

A:

Q: Find the curvature and the radius of curvature at the point t = 0. x = e cos(t), y = e sin(t), z =…

A: Basic calculation of vector is required

Q: Calculate the indicated Riemann sum Sn​, for the function ​f(x)=x2−9x−4. Partition [1,7] into six…

A:

Q: Find the rate of change of f(x) = (Use symbolic notation and fractions where needed.) (a) c = 0…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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: 6. Find the y" + y = sec³ x; y(0) = 1, y'(0) = 1. -√2 value (7) for a solution (x) to the initial…

A:

Q: provide

A: Please refer to the image below

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: 3. 2-y x-2y

A: Give the general solution of the following Differential equation.      dydx=2x-yx-2y

Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

A:

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

A:

Q: Graph the level curves in the x-y plane the function f(x, y) = 2y- for z = -2,-1, 0, 1, and 2.

A: Given curve f(x,y)=2y-x23

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: -9-8-7 6 5 4 3 C Ce N f 5 w N www T P Mar www ww S d Write an equation for the ellipse graphed in…

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: Determine the vector field of F. F(x, y) = 4i - 2j O O Y X X

A:

Q: Find the curvature and the radius of curvature at the point t = 0. et cos(t), y et sin(t), z = 9et K…

A:

Q: Graph each function and its inverse relation on the same set of axes. Determine whether the inverse…

A:

Q: Given AB www. BA= and [2 1 2 2], find AB and BA. Hint: Matrices need to be entered as [(elements of…

A: The answer is given below:

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

A: We have to find the lim inf and lim sup of sequence

Q: Find both first partial derivatives. h(x, y) = e(x¹0 + 10 hx(x, y) = h₂(x, y) =

A:

Q: Find a differential equation whose general solution is 7t y = c₁e¹t + c₂e-2t. y" - 5 y' - 14 y = 0 ✓

A:

Q: If Nx - My M equation = Q, where is a function of y only, then the diffe has an integrating factor…

A:

Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = 4 4π√ 16x² - 1 :or 1 xV 16x²-1 2

A: Topic = Derivative

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

A: Given,

Q: 4 If cos(0) and is in the 4th quadrant, find sin(0) 5 Give exact values. No decimals allowed! If the…

A:

Q: Find curl(4z i+ 5x j + 7y k). curl(4z i + 5x j + 7y k) = ( i )i + ( i )j + ( i )k

A: Topic- Curl of a vector

Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

A: