A conical tank has height 3 m and radius 2 m at the top. Water flows in at a rate of 1.3 m³/min. How fast is the water level rising when it is 1.1 m from the bottom of the tank? (Round your answer to three decimal places.) m/min Tutorial

Q: For this system of linear equations, find the general solution of the system or state that the…

A:

Q: -5-4-3 -2 -1 4 3 2 -3 -2 -1 □0 01 4 + -2 3 4 2 3 Select all the points at which the graph above is…

A:

Q: Evaluate the integral using integration by parts | (x² + 2x) e5x dx-

A:

Q: find the value of the constant A SO that y= A sin 3t satisfies the differential equation y² + 2y = 5…

A:

Q: Find the f(x) = -4x³ - 3x + 1 linearization L(x) at x = a. L(x) = a=2

A: Let a function f( x ) will be linearized at Then Linearized function can be written as

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A:

Q: Find a vector which is orthogonal to both v = (1,2,3) and u = (4,5,6). What is the area of the…

A:

Q: Find the derivative of the function. g'(x) = g(x) = = 7 ex + e-x X

A:

Q: A spherical balloon is inflated so that its volume is increasing at the ft ³ 3 rate of 5 How fast is…

A: Let the radius of balloon is r ft Let the volume of balloon is v Formula The volume of spherical…

Q: Differentiate. h'(0) = h(0) = 0² sin(0)

A:

Q: Use logarithmic differentiation (x + 1)(x-8) (x-1)(x + 8)' dy dx 11 y = to find dy/dx. X> 8

A:

Q: Find the derivative. f(x) = tan-¹() f'(x) =

A:

Q: Find the first partial derivatives of g(x,z) = x In (z²+x6). g|ð 11

A:

Q: x²dy+(y²-xy)dx=0

A:

Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: According to the Bartleby guide line we only do the first part.Given, .For critical points put…

Q: Given the graph of the function f(x) shown below, find the average rate of change of the function…

A:

Q: Suppose f(z), f'(z) have the values shown: T f(x) f'(x) -2 2 -4 Find the following. d dr d da…

A:

Q: 26. Draw a scatter plot for the data provided in Table 3. Then determine whether the data appears to…

A:

Q: Solve the Disserential equations Cosy dx + (x siny - cosy) dy =o

A:

Q: ) Given that Y In [sec (√2x + 3)], find the derivative =. (A) secz tanr. 7₁·2= 7/ secr tan r 4 (B)…

A:

Q: A calculator may be used for the following question. Let f(x) be a function such that sinx…

A: given first derivative of function

Q: (a) Does the ellipse x² − xy + y² = 49 have a horizontal tangent line at the point (0, -7)? Choose…

A:

Q: Consider the indefinite integral U x6 This can be transformed into a basic integral by letting (x7 -…

A: we need to find out the intergation.

Q: differentiable functions f and g are defined for all real numbers x. Values of f, f, g, and g' for…

A:

Q: 15. Answer the following questions about tangent lines. a. b. C. Find an equation of the tangent…

A:

Q: Determine the appropriate f(x) and a, and evaluate L(x) = f(a) + f'(a)(x − a). (0.98)3 Calculate the…

A:

Q: Find the derivative of the function. y = sin-¹(6x + 1) y' =

A:

Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

A:

Q: Given the following functions: f(u) = ³/2 and g(x) = x² + 1. Find: f(g(x)) = x 3u f'(u) = 2 f'(g(x))…

A:

Q: Q7a1

A:

Q: A factory with an assembly line can produce more automobiles per week as more employees are working…

A:

Q: Let f(x) = 1 x+3 Use the limit definition of the derivative to find (i) f'(-6)= (ii) f'(-4)= (iii)…

A:

Q: 41.y= 2x 4x - 3

A: we need to find out the derivative of the given function.

Q: f(x) = 4x²-3x+5 and f pe your answer...

A:

Q: 2 Find the exact length of the polar curve. = 2 cos 0, 0≤0 ≤T 50. re/2, 0≤ 0≤T/2

A: Using integration, we can find the exact length of polar curve

Q: 3. Consider the curve defined by r(t) = (3t², 4t2, 0). (a) Compute the unit tangent vector T as a…

A:

Q: (a) f(0) = ln(sin 0) + sin(ln €). (c) y = ln |x³ — x²| (b) f(x) = log₁0(1 + cos x) ax In (a + x) (d)…

A:

Q: 0 1 √ √(x²+2x+1) dx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: y' = y = eP(p + p√p)

A:

Q: One-to-one? One-to-one? Explanation Check 864 6-4-2- 864 2 4--6--8-0 Yes O No + 2 Graph 4…

A:

Q: FRQ (No Technology) The function f(x) is defined as f(x) = -2(x+2)(x-1)² on the open interval (-3,…

A:

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Given -The altitude of a triangle is increasing at a rate of 2 centimeters/minute Area of the…

Q: A rectangle is drawn in the first quadrant so that it has two adjacent sides on the coordinate axes…

A:

Q: 5. Sketch the domain of f. (a). (Q24) f(x, y) = √√√x² + y² - 4. (b). (Q28(b)) f(x, y) = ln(y - 2x).

A: given function

Q: Are the vectors (1, 1, 1), (0, 1, 2), and (5,2,-1) coplanar?

A: To determine whether the vectors  are coplanar.

Q: L(t) = (sin(t)) cos(t)

A: L(t)=(sin⁡(t))cos⁡(t)

Q: 1 + In 3xy = ³x -y, (1/3, 1)

A: Explaination of the answer is as follows

Q: Suppose that a family wants to fence in an area of their yard for a vegetable garden to keep out…

A: Using application of derivatives, we can find the required dimensions.

Q: A softball diamond is a square whose sides are 60 ft long. Suppose that a player running from first…

A: Given,A softball diamond is a square whose sides are 60 ft long.Suppose that a player running from…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE AI | DON'T USE AI | DON'T USE AI | DON'T USE AI |…

A: Solution is following in explanation step.