Find the slope of the tangent line to the given polar curve at the point specified by the value of 0. π r = sin(0) + 3 cos(0), 0 = 2 1 3

Q: Find the maximum rate of change of the function f(x, y) 3y5 x at the point (3,4)

A:

Q: f(x) = x² + 16 X 6 0<x

A:

Q: Write the inequality in interval notation and graph the interval. -5<x<5 The interval is 0

A: Use interval notation

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A:

Q: 4n+1 -a) Find the sum of this series Σn=071 3x 8-x²-y² b) Evaluate dzdydx

A:

Q: 3x+2 2+9x+1 dx

A:

Q: 10. The function g(x) = x² − kx³ − 9x² + 7x − 8 has a minimum when x value of k. = 3. Determine the

A:

Q: 2. Derivative of f(x) = - 9x + 4 is: a) 9 b) - 9 c) 4 d) 0

A: Derivative of constant is 0

Q: Differentiate: 4. y = 6* log7 x

A:

Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations.…

A:

Q: The voltage Vin a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: We have given  Resistance (R)= 423ohm  Current (I)= 0.05A  dV/dt= -0.06V/s  dR/dt= 0.04ohm/s

Q: Find the acute angle between the line joining A(1,2,3) and B(5,1,7) and the plane containing point…

A: This question can be solved using the concept of angle between line and plane.

Q: A company determines that the cost of making units of commodity is C(x) = 480000 + 2.4x - 0.0008x²…

A: Given C(x)=480000+2.5x-0.0008x^2

Q: Find the general indefinite integral. (Use C for the constant of integration.) [(7x² + 8 + 2²1) dx +

A:

Q: Əw 1. If w=x" f() show that x ax +y Əw ду = nw where n = integer.

A:

Q: Dr. Zeyid T. 1 Y₁ =D²-²-2-[x²] Yp y, = [−1− D² + ···] · [2x +3] : y₁ = -x-2 P How

A:

Q: calculate the lengths of all three sides using the distance formula of the non-right angle triangle…

A:

Q: 19 Can a graph with three vertices of degrees 2, 1, 4 exist? Yes No

A:

Q: find f'(a) f(t) = 1/(t2+7)

A:

Q: dy dx for the following functions 1. y = cot X 2. y = sinxtanx Q4/A/Find

A:

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Evaluate the integral f sin²x cos³xdx.

A:

Q: 16. Using the Quotient tanx= sinx/cosx to prove d/dx tanx=sec2x

A: Quotient rule of differentiation

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(xy)…

A:

Q: Suppose that f(x, y) = x +y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. D Then the double…

A:

Q: What is the bounded region between the parabola x = -y2 and the line y = x + 6. Round the answer…

A: This question can be solved using the concept of area bounded by two curves.

Q: Solve the following algebraic and trigonometric functions by parts. | a) [ x2cosx dx b) √ xlnx dx c)…

A:

Q: 17 What is the degree of vertex 4? O 1 ez el V2 V₂ Des

A:

Q: Write the logarithmic equation y = log5x² in exponential form.

A: We are authorised to solve only one question please repost remaining questions Logarithm

Q: 5) Find all values of x for which En=1 nxn (n+1)(2x+1)n converges absolutely.

A:

Q: Calculates the JR f(x,y)dA bounded by the given region I Loyan dA where the region S is given by the…

A:

Q: Find the producers' surplus at a price level of p = $61 for the price-supply equation below. p=…

A:

Q: 5a) Suppose y = f(g(x)). State the chain rule. That is, what is y' = dy/dx? Now, suppose f(x) =…

A:

Q: du 02: b: Prove the following formula: coth u=-csch² u. dx

A:

Q: Evaluate the following integrals C. [x√x + 1dx

A:

Q: 1 Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

A: We have to find the required plane

Q: Calculus I In the exercise f(x)= cos x + sin x; [0,2pi], find the following 1.) Search for…

A:

Q: y = 2 sin(x), y = ex, x = 0, X = K|N 2

A: The region bounded by the curves,  y=2 sin(x), y=ex, x=0, x=π2

Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve,…

A:

Q: d.x (1) √₂√(1+√5)²

A:

Q: What is the area of the region bounded by the curves y = sinx, y = cosx, x=0, and x=π/4. Round the…

A: What is the area of the region bounded by the curves y = sinx, y = cosx, x=0, and x=π/4. Round the…

Q: Home Work: Solve the following system of equations. 1 -1 2 0 2 -3 1 -4 3 X₂ 14 1 -4 5 -1 X3 -1 4-2…

A: We can solve the given system of equations.

Q: Q4-Find the complex roots of (4 + 4i)ō * (4 + 4i) (Demoivere's formula)

A: given

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: Given that, the function is fx=45x54 and the interval is 0,16. Note that, the formula for the arc…

Q: 14 Approximate (x²-6) dx using 4 rectangles. 2 It is approximatley (If necessary, round to two…

A: Please follow the next step.

Q: -if y=x² the dy dx

A: Finding dy/dx

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

A: This question is related to algebraic operations, we will solve it using given information.

Q: Evaluate the following triple integral by hand: 2 }}} ij X'√= dxdydz= y³ z=1 y=2 x=-1

A:

Q: Differentiate: 1. y = x³ (5.4)*

A:

Q: 11. A plate in the form of a parabolic segment of base 12 m and height of 4 m is submerged in water…

A: