11) The inequality 3x-2 < a. b. 3x²-9x+8 <0 3x²9x+8 x-2 <0 X+4 x-2 is equivalent to which of the following? 3x² - 9x>0 3x² - 9x x-2 d. <0

Q: Evaluate the following integral and express in exact form: cos(x/2) sin(x/2) dx

A: SOLUTION-

Q: (a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 12, (5, 5, 2)…

A:

Q: 9. Consider the function y = 22 with derivatives 2(6-2) dr² Find any horizontal asymptotes of the…

A: Concave Up , if the second derivative is positive . Concave down , if the second derivative is…

Q: Find all values of x and y such that Px(x,y) = 0 and Py(x,y) = 0 simultaneously. P(x,y) = 5x²2 -…

A:

Q: a b = A = B Note: Triangle may not be drawn to scale. Suppose a = 6 and c = 7. Find: B = b O A O

A: Solution: Given:  a=6,    and c = 7 Using Pythagorean theorem

Q: In Problems 11-14, find the first three nonzero terms in the power series expansion for the product…

A: given that      f(x) = sinx = ∑k=0∞-1k2k+1! x2k+1                          gx=cosx = ∑k=0∞-1k2k!…

Q: 10. (a) Construct the Taylor polynomial p3(x) of degree 3 for the function f(x) = 1/(2-x) around x =…

A: Solution is given below:

Q: 1. (Use a calculator) Write down the equation used to evaluate the following expressions, and then…

A:

Q: 1) If the sum of the squares of five numbers is 165 and their variance is 8. What is the mean of…

A: Since multiple questions are asked, I am answering first question

Q: The top of a ladder that is 5 m long slides down a vertical wall at a rate of 2 m/s. At what rate…

A: Given :Length of ledder=5m

Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

A: topic- trigonometric function

Q: Consider the function in the graph to the right. The function has a Select an answer of at x = The…

A: Graph of the function is given.We have to find the increasing and decreasing interval and domain and…

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A:

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)=…

A: Given :Lx,y=32x2+y2-3x-6y-2xy+101

Q: Find the gradient of the function at the given point. Function Point (8,4) f(x, y) Vf(8, 4) = = = x…

A:

Q: 9-x2 x dx

A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

Q: Evaluate the definite integral: f (x · cos(2x)) dx. Enter the exact decimal value. A graph of y = x…

A:

Q: Solve the following ODES by Undetermined Coef D Ş 17 4X y - 16 y = 19.2 e + 60e, y(a) =ý (os. 4X -4X…

A:

Q: question#22

A:

Q: 2 (D² +8D³² +16) y = - sinx Ans: Y = C₁ cus2x+ C₂ Sin2x + C3 Xcos2x + C4 X sinex-_-_sing

A: Solution of given question is written in below steps.

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: The domain of the function f(x) = √3x + 23 consists of one or more of the following intervals: (-∞,…

A:

Q: Find the directional derivative of the function at P in the direction of v. 1 = √₂ (i+j) f(x, y) =…

A:

Q: 106) Iff"(x) and (c,f(c)) is the point lying on the curve for which F(c) is maximum, then f'(c) is…

A: If f''x&lt;0 ∀ x∈a,b and c is a point such that a&lt;c&lt;b, and c,fc is the point lying on the…

Q: 2) Evaluate |x + 11 dx

A:

Q: Problem 2.3 Evaluate 2x² + 3x + 1 2x - 3 lim x-1 x².

A:

Q: In Problems 1-10, determine all the singular points of the given differential equation. 1.…

A:

Q: What is the original price of P1,743,759 discounted price at 22% discount?  (whole number)

A: discounted price = 1,743,759  discount rate = 22%  find original price = ?  this discounted price is…

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

A: We are asked to find the diminishing returns of the point.

Q: Find the partial derivative of z with respect to u, if z = x^4+x(^2)y, x = s+2t-u and y=stu^2, when…

A:

Q: Consider these three examples: A. S 1dx 1+x² B. f sin²x C.S.sin x dx We want to solve one using a…

A:

Q: 8. Calculate the following limits. In z lim → 2²-1 (b) [ 1³-1³ 0 e + cos2-1-2 lim

A:

Q: Use the Laws of logarithms to rewrite the expression 3 (212. √/y13 in a form with no logarithm of a…

A:

Q: Evaluate lim 74 x →0 COS 218

A:

Q: Find the surface area of the solid generated by revolving the region bounded by the graphs of y =…

A:

Q: 1. Find the area of the region bounded by the curves y=sin X16 , y = 0, and x = 6 obtained by…

A: topic - Area bounded by curves

Q: Sketch the region of integration and change the order of integration f x I 1 = [²] [~ ² f(x, y) dy…

A:

Q: Find an equation of the tangent plane to the surface at the given point. (2,0,0) g(x, y) = arctan…

A: Answer and explanation is given below...

Q: Find the gradient of the function at the given point. Function Point f(x, y, z)=√√√√x² + y² + z² (4,…

A:

Q: Write the expression in algebraic form. [Hint: Sketch a right triangle, as demonstrated In Example…

A:

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A:

Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) =

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 –…

A: Here is the solution:

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

A:

Q: 2. Determine whether or not the series converges. State clearly the test you use, and show all…

A: We have to check the convergence

Q: Given f(x) = x² + 7x + 6, find the following. (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e) f(a) (f) f(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: f(x)=ax^3+bx find the derivative

A:

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

A:

Q: If you invest $5000 compounded continuously at 4% p.a. how much will this investment be worth in 5…

A: The initial amount P=$5000 Rate of interest r=4%=4100=0.04 p.a. The time period t = 5 years