Find the gradient of the function at the given point. Function g(x, y) = ye-* Vg(0,4)= Point (0,4) Find the maximum value of the directional derivative at the given point.

Q: pls

A:

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A:

Q: Give the order and degree of the following differential equations. Differential Equation 2 (d²y) dy…

A: Answer and explanation is given below...

Q: 64 Use the first derivative test to answer the following: the function f(x) = 49x + I and a local…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 2 x-intercepts…

A: We need to write an equation for a rational function with : Vertical asymptotes at x=-4 and x=2…

Q: e) Find the linear approximation of the function f(x, y, z) = x³y² + z² at the point (2, 3, 4) and…

A:

Q: 2) Express 100C50 as a sum of two terms from Pascal's triangle.

A: Let us find thatThe  100C50 as a sum of two terms from Pascal's triangle.we know that the formula of…

Q: Find the distance from the point A to the line through points B and C. Then show that the triangle…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A:

Q: If cos x = 5/11 and the terminal point of x is in Quadrant IV, what is sin x

A:

Q: 1 For the parametric curve * = find an equation for the tangent line to the curve at the point…

A: To find equation of tangent line:

Q: -2 -1 1+ 0 f'(x) 2 XY

A: the answer is given in step2

Q: 1) Solve the following ODES by Undetermined Coeff. ● 4X 11 X y - 16 y = 19.2 € + 60e, y(a) = y() -4X…

A:

Q: √2 cos x csc x=2 cos x

A: 2cosxcscx=2cosx

Q: A force of 660 newtons stretches a spring 3 meters. A mass of 55 kilograms is attached to the end of…

A:

Q: Explain why x ≤- 2, 0 ≤ x ≤ 5 could not be the solution to (x-5)(x+2) ≤ 0.

A: This question is based on solution of inequality.

Q: ((x)/)6 (1) (e) f(g(x)) ((7-))* (P)

A: Given;  f(x)=2x3 and g(x)=4x+5.

Q: 12 f(x) = x² - 6x² + 2 Determine the intervals on which f(x) is increasing/decreasing and identify…

A: Given,  f(x)=x125-6x25+2

Q: 7. The sides of a parallelogram are 6.3 cm and 9.2 cm. One angle is 56° while the other angle is…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.2) -7 -6 -5 -4 -p 2 y…

A: To find the equation for the function.

Q: 2ss" + (s')² = 0

A: we will solve the differential equation.

Q: 5) What is the horizontal asymptote of f(x)= a. y = 5 7 b. y = 2 2x-7 5x+3 c. y=-37 d. y = 5

A: The objective of the question is determine the horizontal asymptote of the given function and choose…

Q: Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

A:

Q: The approximate rate of change in the number (in billions) of monthly text messages is given by the…

A:

Q: What intervals must be considered for finding solutions to the inequality x > 5-º? C. 03 d. x 3 a.…

A: Follow the procedure given below.

Q: Complete parts a through f below to find nonnegative numbers x and y that satisfy the given…

A:

Q: 2 Solve the following ODES by 1.2 • ý -2y +y = e sinx Inverse Operator method X X Anse y=cie +…

A:

Q: Suppose that you have measured the length of the side of a cube as (3.00.005) meters. Give an…

A:

Q: Solve the given differential equation. x²y" + 13xy' + 36y = 0 y(x) = ,X>0

A: The given differential equation is;  x2y''+13xy'+36y=0.

Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₁ = 1 x²…

A:

Q: Partial Fraction Match the following with their corresponding answers in the right column. Consider…

A: Given the integral and we want to know what is the type of factors the denominator of the integrand…

Q: Find the area between the curves. x = -5, x=2, y = 2x² +5, y = 0 The area between the curves is…

A:

Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² - c² and y = 2²-² is…

A:

Q: -6-5-4-3-2- 9 10

A: We will solve.

Q: Find the domain and the range of the function. (Enter your answers using Interval notation.)…

A:

Q: 14-13-12-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Find an equation for the graph above. 4+h(t) 27 2 1 2 -2-…

A: The given graph is:   Consider the function is: y=AsinBx-C+D From the given graph, the maximum…

Q: Average Cost The total daily cost (in dollars) of producing a mountain bikes is given by C(x) =…

A: Given, C(x)=7000+4x+0.7x2

Q: 2. The function ƒ(x) = x² − 4 is transformed to g(x) =— (x² − 4). Compare the domain, range,…

A:

Q: Solve y" + 4y' + 5y = 0 given y(0) = 2, y'(0) = -7.

A:

Q: 8) How many solutions does the equation a. 0 b. 1 X+5 x-3 IX 1 || 4 x²-3x C. 2 d. 3 have?

A:

Q: Find a parabolic curve that would fit the following data. Let  y = a + bx + cx2. x      3    5…

A:

Q: Given the diagram of the bounded area, The limits of integration Choose Area in square units is X is…

A:

Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: topic- Area of shaded region Area of rectangle =Length*width

Q: 5. [tan³x sec³x dx

A:

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: The objective of the question is determine the critical point and intervals in which function is…

Q: a. b. algal dy dx dy dx + y = xy³ - y = ex y² -X

A: See this solution in below.

Q: There is a line through the origin that divides the region bounded by the parabola y = 6x x-axis…

A: We will find the slope

Q: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A:

Q: 1 Find the surface area of the part of the hyperbolic paraboloid z = (x² - y²) that lies inside the…

A: