Sketch the region enclosed by the curves and find its area. y = x, y = 3x, y = -x + 4

Q: Solve the given differential equation. All solutions should be found. dy 3x = e +9y dx NOTE: Use c…

A:

Q: Revers the order and Evaluate= s dx dy y

A:

Q: what is the derivate of sin(x)cos(x)?

A:

Q: Write the Taylor series for f(x) = eª about x = 1 as Σcn(x − 1)". - n=0 Find the first five…

A:

Q: Representing a function as a Power Series. Suppose that we want to represent the function f(x) =…

A:

Q: Problem 4 For x,y,z E R 5x +y Given: 2x - 2y 3x +3y and xyz = -48. Find: S = x+y+z +z = 0 +2z = 0…

A:

Q: 15 Give the properties for the equation 3y 2 - 2y + x + 1 = 0. Center (-1, 1/3) (-2/3, 1/3)…

A:

Q: ☎ Q1: If x=² and y=21³ then b) 3 314 ² dx d) at x=4 F others Choose

A:

Q: 5 If [F(x) dx f(x) dx = 7.4 and 1.°F(x) dx f(x) dx = 5.7, find [²1 f(x) dx.

A:

Q: A continuous O Ext F(XI = Find ***** V-V- K x has CDF X Co oxx cl 15X value of k 16 17 18 19 20 21…

A:

Q: Suppose we have a surface f (x,y)=x²y+cos (4x) · Which of the following is the gradient of f(x,y) at…

A: First I have found the partial derivatives of f(x,y)  with respect to 'x' and 'y' at point P(π/2,…

Q: Find the two x-intercepts of the function fand show that f(x) = 0 at some point between the two…

A:

Q: Show that the differential equation xºy7 + x(1+yº)y' = 0 is not exact, but becomes exact when…

A: Take the partial derivative of coefficient of dx and dy to show that the given differential equation…

Q: Find the volume of the th

A:

Q: 11.7 Triple Integrals OPEN Turned in automatically when due. 4. Practice similar Help me with this…

A:

Q: 2. Show that F is a conservative vector field and then use that fact to evaluate SF. dr along the…

A: We need to show F is conservative vector field.

Q: Evaluate the definite integral 05/dx. Give an exact, completely simplified 0.5_6x² answer. Hint:…

A: Use  substitution method for solving integral.

Q: Use the Product Rule to differentiate the function. f(x)= x cos(x) F'(x) =

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2√x + √x dy Read It Need…

A:

Q: Solve the following differential equations of d²y_2dy + y = 2x dx² dx

A:

Q: The length of each of the two equal sides of an isosceles triangle is 24 meters (see figure). The…

A:

Q: Integrate the following functions f(x,y) = 3x-2y. R: over the given regions. the circle x² + y²

A: Given function f(x,y)=3x-2y and region R is x2+y2=1

Q: 3. Evaluate the line integral Sc F. dr where F(x, y, z) = (e², xz, (x + y)) over the curve r(t) = t²…

A:

Q: the

A:

Q: Find the curvature and the radius of curvature at the stated point. ㅠ r(t)=10cos(t)i+11sin(t)j+9tk;…

A:

Q: do not understand what the answer for s(x) should

A: It is demanding in terms of constant C.

Q: 19 Give the properties for the equation 9x 2 + 16y 2 - 36x + 96y + 36 = 0 Major Axis 8 16 9

A:

Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Radius 5 2√3 4

A:

Q: Select the conic section represented by the equation. 4x 2 - 25y 2 - 8x - 100y - 196 = 0. line…

A: We can answer the question as below.

Q: An open box is to be made out of a 12-inch by 14-inch piece of cardboard by cutting out squares of…

A:

Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² = 100 Or-10 sin 0 Or- 10…

A:

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. (x-3) tan(9-x²) 3. lim x-3…

A:

Q: Solve the given initial value problem and determine at least approximately where the solution is…

A:

Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. 0.5- के 2…

A: Solved below

Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = y =…

A:

Q: On Integral of Trigonometric Functions: Determine the integral of the ff. functions. 3. sec 2 (3x +…

A: To find the integration of Functions: As per Bartleby guidelines we are supposed to answer only…

Q: Integrating Factor by Inspection: 7. xdx + ydd = (x² + y²)dx

A:

Q: Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table.…

A:

Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Range -8 ≤ y ≤ 2 -7 ≤ y ≤ 3 -2 ≤…

A:

Q: Evaluate the ff. limiti. Uning of "L'Hospital' rule is not allowed lim √1-x + 2x + 7 x>-∞ √√9x²+5 -…

A: To evaluate the following limits without using L'Hospital's rule.1 limx→-∞ 1-x+2x+79x2+5-32 limx→1…

Q: Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF…

A:

Q: Find all solutions of the equation in the interval [0, 27). (Enter your answers as a comma-separated…

A:

Q: Find A where R is the region R outside the circle and inside the V=2 Curve r= 4 Sing

A:

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

A: As per Bartley guidelines we are supposed to answer only three subparts of one question per post.…

Q: 2. Fe²i+yj + x²yk, A. y²i2zy2j-e²k B. x²i2y2j-e²j C. y²i2z2j- e²k D. z²i2zy²j+e²k E. y²i-zy2j- e²k…

A:

Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 3 P3(x) =

A:

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.)…

A:

Q: Find the exact length of the curve x = tsint, y = t cost where 0 ≤ t ≤ 1.

A: answer is in next step

Q: Find the Cartesian coordinates of the given point. (-4, -1/3) ○ (-2,2-√√3) (2,2-√√3) (-2-√√/3,-2) Ⓒ…

A: First I have written the Cartesian coordinates of a polar coordinates rule, just use it for given…

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: