Beth is filling a small backyard pool with a garden 647. hose. The pool holds 30 gallons of water. After 5 minutes, the pool is about one-fourth full. a. Assuming that the water is flowing at a constant rate, about how much water is going into the pool each minute?

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: We have to find area on Monday.

Q: State the name of the property illustrated below. 4. /8 = /8 •4 Choose the correct answer below. Ass...

A:

Q: 1. (2xy-tany)dx + (x² – xsec?y)dy = 0; y(1) = r 2. [4x°cos(xy)-x*ysin(xy)- ye" +3x²]dx -[x°sin(xy)+x...

A:

Q: Find the point on the graph of f (x) = (3x + 9)/x + 9x (x > 0) at which the tangent line is horizont...

A:

Q: 21 - v oX

A:

Q: (In(x))? 3

A: We have to apply rules of integration to solve the problem

Q: the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t . A) ...

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Given: ysin16x=xcos2y Equation of a tangent at point a,b with slope m is defined as  y-b=mx-a

Q: -1, and f'(4) g'(4) = 5. Suppose h(r) = (f(r) + VI) · g(r), f(4) = 3, g(4) : What is h'(4)? Express ...

A: Topic = Functions

Q: if 2 and gcx) -X and h =1-2X %3D Find, fog fog, gof, gog, gofoh, fof > fof .

A:

Q: Find the parametric equations for the tangent line to the curve x=t^2−1,y=t^4+1,z=t^4 at the point (...

A: Given: x=t2-1, y=t4+1, z=t4 Point 8, 82, 81, is for t=3 as you can see substituting it in the three ...

Q: Solve the problem

A: Given dimension of rectangular sheet is 15 x 8 Assume length of square is x Then , height of box is ...

Q: Question 20 Determine the vertex V, focus F, and the equation of the directrix of the parabola (y- 4...

A:

Q: Solve the following second-order differential equation: y" + 4y/ + 5y = 8x sin x

A:

Q: - / 4(1-)esc2(1– y)dy

A:

Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; f(2) =-1; f(3) =-3 Relatio...

A:

Q: f A is 3 × 3 and det(2A-1) = -3 = det(A³(B¯1)"), find det B. 32 a) 을 (b)을 (e) (d) (e)을 83 34 23 83 (...

A: Topic:- matrix algebra

Q: find the vector equation of a plane that contains the intersection line of x + y + z = 1 and x – y +...

A:

Q: dx Evaluate – 12x - 12x dx 12x - 12x

A:

Q: 2メー7 f xス」

A:

Q: 7. The point of contact for a tangent to the curve f (x) = º is (2,4). It intersects the x and y axe...

A:

Q: the given expression :3y^2 + 6y + 7 is equal to. SUBMIT YOUR SOLUTION * none of the choices O 3(y + ...

A:

Q: Let f(x,y) = x³y? The third derivative fexy

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

Q: What is the magnitude and direction of the resultant? 10 4. 10 diagram 4

A: Given that:                        

Q: 2. Evaluate the following functions using the given relations. f(2) = -1 ; Relation: f(n+1) = 5 - [f...

A:

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

A:

Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

A:

Q: 1 2(1-z) 3(1--z) dydxdz = 1 0 0

A:

Q: Find dy/dx, if y=(x^2+2)^4 (2x−3)^5 dy/dx = _______

A:

Q: 5 In x Evaluate f r/1- Inx

A:

Q: Find the limit: limt t→0⟨(e^5t)−1/t,t^11/(t^12−t^11),−7/8+t⟩ ⟨  ,  ,  ⟩

A:

Q: When a cake is removed from an oven, its temperature is 375°. The cake is placed in a room with a co...

A: Topic:- Calculus

Q: find S z (Inz)? dz

A: Given,            ∫zlnz2dz

Q: Solve the triangle below. Re 6. 37 R

A:

Q: Objective: Determine the form of a particular solution for each differential equation. y" – 2y' + y ...

A:

Q: nd [(dy)/(dx)] if the curve is defined by 7 x? e7y + 6 y² e² x

A: We are asked to find the derivative 

Q: For the function f(x) = 3* find f(x-2) Compute *t1®if f(x) = ax +b h

A: 1. The given function f(x)=3x2. f(x)=ax+b

Q: Find the volume of the solid generated by revolving the region enclosed by y = x2+1 and y= x+3 about...

A:

Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; f(2)=-1; f(3) =-3 Given: R...

A: (2). Given:f(1)=4 ;        f(2)=-1 ;        f(3)=-3f(n+1)=5·f(n)2-2f(n-1)

Q: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

A: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

Q: a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an is...

A: Given: Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to a...

Q: Question 8 A True B False

A:

Q: t f(x) = 2x - 3 and g(x) = x + 5. %3D a. 2. g(x) = 2( x + 5) = 2x + %3D b. 5 g(x) = 5(_) = 5x +, %3D...

A: Given f(x) = 2x-3 and g(x) = x+5                a)     2.g(x)=2(x+5)                    = 2x+10 b)  ...

Q: Find a parametrization of the circle of radius 7 in the xy-plane, centered at the origin, oriented c...

A:

Q: Bottled Water Sales The following chart shows annual per capita sales of bottled water in the United...

A:

Q: S cos3 x sin* x dx

A:

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - What is the...

A: As per the instruction, we will answer only the first one. Given f(x, y) = √y - 2x. So, domain for s...

Q: onsider the ellipse E in the xy-plane defined by the equation ax2 + y2 = 1 where a is positive. (1)...

A:

Q: 3. Calculate the area of the region R enclosed within the following boundaries: (x² + (y – 1)² < 1 y...

A:

Q: Compute the directional derivative in the direction of v at the given point. f(x. y) = xy - x, v=i-j...

A: