Given x+ y +z= 5 and Po(2,2,1), find the following. (a) Find the equation for the tangent plane at the point Po on the given surface. (b) Find the equations for the normal line at the point Po on the given surface.

Q: If the price of the product is increased from 3.50 to 4.20 (a 20% increase): (i) Will the revenue fr...

A: Find your answer below 

Q: 2. The price-demand equation for a certain product is 0.2x + 20p = 120. a) For what range of p-value...

A:

Q: (x² + 1)y' + 2.xy + 2x = 0

A:

Q: Find the derivative of the function. y = (2x – 8x²)3 %3D dy dx %3D

A: The given function,      y=2x4-8x23

Q: Consider the curve f(x)= sinx - cosx + 1 i) find f'(x) ii) Hence or otherwise, find the maximum an...

A: f'(x)=differentiates f(x) w.r.t x

Q: S. xdx (x²+2)3 A 2(x+1) 4(x²+1)2 B +C 2(x+2) 2(x²+2) 2 +C 4(x²+2) 2(x²+2) ? D 2(x+2) 2(x+2)?

A: Substitute, x2 + 2 = t.  

Q: f(x + h)- f(x) Find and simplify the difference quotient h#0 for the given function. f(x) = Question...

A:

Q: Find y' and y''. y = lnx + (7+x^2)^1/2

A: We can find y' and y'' as below

Q: 2x – x° dx (x – 1)° (x² + 1) 8.

A:

Q: Find the value of x that satisfies the following equation (2x – 5yi) + (y + xi) = 8-7i В. 4 А. 2 С. ...

A:

Q: 2. What is the equation of the tangent line to the curve y = x? - 2x +1 at point (3,4)? а. у3 2x — 2...

A:

Q: For each of the following, sketch the volume being formed, then calculate the total volume and the t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: 1. Given y = log3 9. The value of y= %3D 2. If log(r + 2) = 4, then the value of r is %3D 1 3. If lo...

A:

Q: ould you please explain this to me please? What is the derivative (d/dx):  y=3log8(log2(x))   (y...

A: We can find the derivative as below

Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 5. lim tan r 2. lim 5" ...

A: 1. f(x)= 3x x 0.99 0.999 0.9999 1.01 1.001 1.0001 f(x)= 3x 2.96722 2.996706 2.99967 3.03314 3.0...

Q: ) Sketch the region of Integration and write an equivalent polar integral. Then evaluate the polar I...

A:

Q: x²-1 dx 1. S

A: Given: I=∫x2-1xdx   ...1   We know that the trigonometric identities; (1). The Pythagorean identitie...

Q: The function f is graphed below. State the values that fulfill the following requirements. If there ...

A: f'(x) is undefinedat x= DNEcritical value of f(x)where f'(x)=0 of undefinedf'(x)=0, at x=-2, -1, 0, ...

Q: How do I input the numbers?

A:

Q: PART II. Solve the following, Show the necessary solution= 4. Find the fourth term in a proportion i...

A:

Q: Consider the following functions. f(-3) = 14 and g(-3) = -11 Step 4 of 4: Find |(-3). Answer How to ...

A:

Q: In Exercises 1 to 16, find the critical points of the given function and then determine whether they...

A:

Q: 3 Consider the following function f(x,y) = +y° + 2xy - 6x- 3y + 4 3 3 3, 2 The critical points are A...

A:

Q: sec-(2y cos r) = x"

A:

Q: what is csc^−1(csc(3π/5))

A: Given

Q: 16. What is the derivative of f (x) = e8x+3? %3D a. f'(x) = e8 b. f'(x) = 3e8x c. f'(x) = 8e d. f'(x...

A:

Q: 1 - cos2A The (1 eJ (1+1+ cos2A) dA is equal to A. tan 2A + C B. cos 2A + C C. cos A + C D. tan A + ...

A:

Q: Find the Area of the region enclosed by Y=JT +1 and y=X, and y-axis (sketch)

A: This question is based on application of integration.

Q: Evaluate the following limits. 4– 3y2 – y --2 6 - y - y? 3 – 7x2 + 14x - 8 1. lim (1+ Vw)(2 – w² + 3...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: s+1 3 F(s) = s2+ 2s-15

A: We know the property of inverse Laplace transform: L-1a·fs+b·gs=a·L-1fs+b·L-1gs And L-11s-a=eat   Gi...

Q: The graphs of x = 4, y = f(x) (s

A: Volume =∫ab A(x) dxA(x) = π[(Outer radius)2-(Inner radius)2]  

Q: The function below is a simplification of which integral?" 4. 4 a sin(2 3x) + 3 cos(2 3x) + c 6.

A:

Q: V1+x2 dx 3. J 3.s

A:

Q: Evaluate th fô wing pr The graph of g is given. 10 1

A: Topic:- calculus  Note:- as per our guideline if more than one question uploaded than only first que...

Q: Question 2. Prove g*g"t" is not regular.

A:

Q: Use the Squeeze Theorem to evaluate lim sin(tan x) sech(secx).

A: It is required to calculate the limit limx→π2-sintanxsechsecx. The squeeze theorem states that "Let ...

Q: Correct Consider the following functions. f(x) = x and g(x) = |x| Step 3 of 4: Find (fg)(-2). Answer...

A:

Q: The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her ...

A:

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A:

Q: Write a function in any form that would match the graph shown below. 20 16

A: Given: - The graph of the function is, To find: - A function in any form that would match the graph...

Q: The sec?ytanydy 4 + tan²y is equal to In(4 + tan?y) + C A. 4 In(4 + sec?y) + C B.- 2 In(4 + tan?y) +...

A: LetI=∫sec2ytany4+tan2ydySubstitute , u=4+tan2yDifferentiate on both sidedu=ddx(4)+ddytan2ydu=0+ddyta...

Q: Solve the differential equation (r² + 1)y – 2ry – 2x = 0 using the method of exact equations;

A: Differential equations

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: Find the maximum value of f(x,y) = 19 – x² - y? on the line x+ 3y = 10. The maximum value of f(x,y) ...

A: solution given below..

Q: 2. The points P(-3,1) and Q(-1,r) in the second quadrant have a distance of 2/5. Suppose P and Q are...

A: The solution of the problem is given in the next steps.

Q: 1. SOLVE THE GIVEN SYSTEM OF LINEAR EQUATIONS BY GAUSS ELIMINATION. 9a-261 + 33m - 49s - 89 13a + 27...

A: We need to solve system of linear equation.

Q: Ax) = x² tan -1 (x³)

A:

Q: . (Subsonic flight) The efficiency of the engines of subsonic airplanes depends on air pressure and ...

A: y'(x) ∝ ydydx = -k y(Pressure decrease with moving above sea level)∫ dyy = ∫ k dxln y = -k x + ln Cy...

Q: 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to the line y = 3x + 1 (Hi...

A:

Q: 1.(Easy) For the following differential equations, state the independent and dependent variables, th...

A: The objective of the question is determine the independent , dependent variables , order , degree an...