The formula for solving for the area in the first quadrant bounded by y = x², the circle x² + y² = 2, and the x-axis using a horizontal element is A = f (x - x₂) dy. What is the function of y to which x, corresponds? 0-√y O√F

Q: A helicopter takes off at an initial (ground) velocity of 175 km/h toward the west, climbing at an…

A:

Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

A:

Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

A:

Q: 7+(7) 2 7. If А. 2 О А О в О с O D = 1 then x= В. 4 с. -1 D. 0

A: Given query is to find the value of x.

Q: 4. Determine the CORRECT partial fractions for Ax+B C A. + (x²+9)² (x-3)² A B B. + (x²+9)²(x-3)²…

A:

Q: The velocity (meters/second) of an object at time / seconds is governed by the IVP: 1 dv k dt + v =…

A:

Q: A) A retailer has been selling 1,000 computers a week at $750 each. The marketing department…

A: Please see the below picture for detailed solution.

Q: dx Using Rationalizing Substitution ·S =ff(v)dy, find fry)dy x√√x-1 O In(y) + C O2ln(y) + C O…

A: To find out the integration.

Q: Let L(x) be the linearization of the cube root function at x=8. When using L(x) to approximate the…

A:

Q: 1. Find the height of a circular cylinder of maximum volume, which can be inscribed in a sphere of…

A:

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

A:

Q: cos²x sinx dy + (y cos³x - 1)dx = 0

A:

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A:

Q: 4. General solution of dy= y-x dx y+x

A:

Q: Ten ostriches were introduced to the Zoobic Safari Adventure Park 10 years ago. To date, let us say…

A: It is exponential growth function.

Q: Find the slope of the tangent line to the curve below at the point (7, 8). /22+y+Vary:…

A:

Q: Suppose that 3 ] of work is needed to stretch a spring from its natural length of 30 cm to a length…

A: Given problem:- Suppose that 3 of work is needed to stretch a spring from its natural length of 30…

Q: Find an equation of the curve. The tangent line to the curve at the point (1,2) also passes through…

A:

Q: Differentiate. 7 - 6x +2e¯x + +X y=xe Choose the correct answer below. O A. dy dx OB. dy dx OC. dy…

A:

Q: (x² + 3xy + y²) dx − x² dy = 0 -

A: As equation is an homogeneous differential equation then put y =vx and solve.

Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the average value of the function f(x)=x²-9 on [0,9]. The average value of the function…

A: Use the average value formula for finding the value

Q: 9- [+7 (G) Y*%)]" = A. √13 B. -√13 О А О в О с D с. √2 D V3

A:

Q: A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 39…

A: Answer: The solution is as given below:

Q: B/ Find the value of 18 194i 1. + 13 13 O 1 02 (11+5i) (8-6i) (3-21) (1-21) 2. 13 18 134i 1193

A: This question is based on rationalization of complex number.

Q: In The value of the definite integral flm 12 √ex - 9 dx is in the form F(b) - F(a), where a JIn 9…

A: To evaluate: ∫ln⁡9ln⁡12 ex−9dx Let I =∫ln⁡9ln⁡12 ex−9dx Given: ∫ln⁡9ln⁡12 ex−9dx = c3-dπ Let ex−9=…

Q: C. Graf the function of y-5x" if n=3 1. O 1 O 2 2. yax' LEVIC

A: Given data Graph the function y=5xn Where , n=3

Q: 2. |a + ib|= √a² + b² O True O false

A: This question is based on modulus of complex number.

Q: Which of the following is true? * f (x, y) = x³ - 2xy + 3y² fx = 3x² - 2y + y³; fy = 6x Option 1 f =…

A: The given function is;  f(x,y)=x3-2xy+3y2.

Q: Set-up the integral using horizontal element for the volume of the solid obtained by rotating the…

A: fristly given curve are simplyfy and diagram curve then use for shell method

Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

A:

Q: QUESTION 1 Find (1+2x) In5x² 2x) In 5x² dx by using integration by parts.

A:

Q: Find the Cartesian form of the polar equation r = −6 sin θ

A:

Q: 2 A=[²2 1 4] IF A= 2 and B= 3 2 L3 4 31 1 2] Find AB :

A: Matrix multiplication is always done from each row to each column, i.e., row to column…

Q: X Consider the function f(x) = x²-1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

A: All the subparts are solved below-

Q: 3 2. Find the area bounded by the two curves y = x³- 6x² + 8x and y = x² - 4x.

A:

Q: a. create a maclaurin series from the function: f(x) = 1/(1 + x)2 b. Determine the value of X so…

A:

Q: A tank is in the form of a rectangular parallelepiped 5-ft deep, 15-ft wide, and 25-ft long. It is…

A:

Q: Use the graph of f, shown on the right, to find the given limit. When necessary, state that the…

A: The graph of the function is To evaluate: The value of limx→4fx

Q: X f(x) Using "Newton's progressive method from table below, the approximate value of the function…

A:

Q: w Dy ),-0 7 By b. Əw əz C. aw əz

A:

Q: Find average Value of f(x)=X³ on [1,2]. Then find Point CE [1,2] meun € [1,2] quaranteed by the…

A:

Q: Find the cost function for the marginal cost function. C'(x) = 0.03 0.05x 0.05x, fixed cost is $9 e…

A: Given query is to find the cost function.

Q: Let f(t) 3t* Then f'(t) = 7t + 7e'.

A: SOLUTION-

Q: A circular swimming pool full of water has a diameter of 24 ft and the sides are 5 ft high. Set-up…

A: A circular swimming pool full of water has a diameter of 24 ft and the sides are 5ft high.

Q: y"-2y'-8y = 0 if y(0) = 3; y'(0) = 6

A:

Q: the graph shown, identify a) the point(s) of inflection and the intervals where the function is…

A: Given query is to find the point of inflection and  interval where concave up and adown.

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

A: Let's find arc length of given two  parametric equations on interval [0,1].

Q: evaluate the integral using methods of trig integrals S cos³ x dx

A: Solution is here

Q: If 2* ((4x-1)/5) =3 then x = O 1 O 17/8 O 0.1 -0.1

A: We can find the value of x as below.