At what value of x does the local max of f(x) occur? X = ƒ(x) = √² 1²-2 - 25 1 + cos² (t) dt

Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: We need to find f'(x).

Q: Represent the plane curve by a vector-valued function. x² + y² = 36 r(t) = (No Response) Need Help?…

A: The plane curve x2+y2=36

Q: Evalute ff Rx²dA, where R is the region in the first quadrant bounded by the hyperbola xy = 16 and…

A: The given integral: ∫∫Rx2dAWhere R is the region in the first quadrant bounded by the hyperbola…

Q: Part b: ( a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel…

A: as per company guidelines we solve only first question when multiple question being posted.

Q: Find r'(t). r(t) = (3 cos(t), 4 sin(t)) r'(t) = (No Response) Need Help? Read It Watch It

A:

Q: . Find the absolute the following functions on f(x) = x² - 6x + 5 minimums the and maximums of given…

A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

Q: į j x=0_y=√x | g(x,y) dydx=

A:

Q: Evaluate 2 1 ² ₁² + √²³² - ²3/7 + 3x²³ - ²/3 d. X =)dx 3 X X 2 6.780 6.870 -6.870 -6.087 -0.687…

A: Given ∫12x3+x43-3x32+3x2-2xdx

Q: DA bacteria Culture that exhibts exponential double in size growth in 10 days. ㅋ Find the growth…

A:

Q: Find the following for the given equation. r(t) = 8 cos(t)i + 8 sin(t)j (a) r(t) = (No Response) (b)…

A:

Q: Evaluate 3 [²^{²} + √x² − ² + ³x² − ²) dx = x None of them 21.466 2.1664 -2.1646 -21.664 21.664…

A: Given problem:-

Q: Evalute fi f (y³ – xy)dydx -

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: 9) Find the min dimensions of a box that is 5000mL. Then find the min dimension of the lid and base.

A: To minimise dimensions minimise surface area  So differentiate surface area and equate to zero

Q: Find the line integral of the vector field F= over the curve C which is the quarter of the unit…

A: We have to find line integral from point (0,1) to (1,0)

Q: f(x) = (x + 6)2/3 (a) Find the critical numbers of f. (Enter your answers as a comma-separated…

A: Given that fx=x+623a.find f'x=0 and solve x is a critical numbers.fx=x+623f'x=23x+6-13f'x=23x+613so,…

Q: The table gives the values of a function obtained from an experiment.

A: As per our guidelines we are supposed to to only one question at a time. Kindly repost other…

Q: In √x + 2 = 1 es 5.389

A:

Q: The one-to-one function fis defined below. 3 f(x)=√√/2-x+7 ¹(x), where f¹ is the inverse of f. 1…

A:

Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

A:

Q: The symmetric equation of the line that passes by P(1, -1, 1) and Q(3, 2, -1) is: Select one: x-1 0…

A: This question can be solved using the concept of lines in three dimensional geometry.

Q: Consider the function f(x) below. Over what open interval(s) is the function decreasing and concave…

A: We need to find out the intervals on which the function is decreasing and also concave up.

Q: Ive the given IVP using Laplace transforms. "-7x'- 8x = 0 x(0) = 1, x'(0) = -3

A:

Q: 3 Find a cubic function Y= ax²³²+ bx tcx td whose graph has horizontal tangents at the points (-2.4)…

A:

Q: J (2) Ten thousand dollars is invested at 645 intrest Compound Continously. → when will the…

A: We can find the required time as below.

Q: Evaluate the ff (show all steps) Y x dx x ³ - 2x² - 2x - 4

A:

Q: 16. A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x)…

A: We need to find P(x).

Q: Given that the graph of f passes through the point (1, -5) and that the slope of its tangent line at…

A:

Q: Consider the region B under the graph of y= * E[5,7], and above the x-axis. 2² +7 x+5 } Estimate the…

A:

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 6 x+8 dx Write your answer exact…

A:

Q: A boat is heading towards a lighthouse who's beacon light is 148 feet above the water. The boat's…

A: Topic = Trigonometry

Q: Q3 Let A(1,0,-1), B(-1,2, 1), and C(1,2,-2) are the three points in a 3D coordinates system. a)…

A:

Q: Find the daily consumer surplus if the demand equation is given by p=−0.3·q+120, and the business…

A:

Q: Is Wa subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all…

A:

Q: The graph of the second derivative f" (x) is given below. On what interval(s) is the function f(x)…

A: Solution

Q: Find the function F that satisfies the following differential equation and initial conditions.…

A: This question is based on diffrentiation equation and solved using Laplace transform.

Q: Write v as a linear combination of u and w, if possible, where u- (3, 2) and w(2, -1). (Enter your…

A: Given :- u =(3,2) , w=(2,-1),v=(-6,-4)  Write v as linear combination of u and w

Q: In a pool filled with water to a depth of 1 Rectangular plate calculate the fluid force on one side…

A: Given: Depth of pool = 10ft Area of rectangular plate, A = 3ft×4ft=12 ft2  Hydrostatic Force on…

Q: 6 Find an equation of the line to the curve Y= √x that is parallel to the line 6x +Y=1. Y =

A:

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A:

Q: Find a bif a= (4, - 1,5) ar . b = (-3, 8, 5).

A: Here we will find whether given vectors are orthogonal or not,

Q: 4 Determine -2 u tv and Give a is i and v и So Keat orthogonal to ²-5²³ lutô| = |a²|+12²1…

A: Given the vectors u+v and u-v are orthogonal and  u+v=u+v To find u and v .

Q: Consider the equation below. (If an answer does not exist, f(x)=x²-x-In(x) (a) Find the interval(s)…

A: We have given a function and finding point for local minimum value

Q: Use logarithmic function to find dy/dx, if y=(x^2+5)^sin (2x)

A:

Q: Evaluate lim (x) x-0 f(x) . . . . . . . . . . . F . . y 4 f(x) g(x) X

A: See this solution in below

Q: 6. Consider the function f(x, y) = cot ¹(1+x) — 2e¹+³y If x = s²-t² and y = 3t+tan(1-s), use the…

A: Let's evaluate given partial derivative.

Q: If f(x) = 2x-7 and g(x) = x² - 9 then go f= a) 2x - 7 b) (2x-7)²-9 c) 2x²-25 d) none of these 1.a…

A: Finding g(f(x))

Q: Find the relative rate of change. Evaluate the relative rate of change at the given value(s) of t. -…

A:

Q: The vectors u = (5, -4,0) and v = (-4,-5, 4) are orthogonal. Select one: O True O False

A:

Q: The value of the definite integral is Select one: O 16 3x²dx 0-8 O none of the others 08 0 0

A:

Q: xex dx 3. f. (1+x)²

A: