2. Approximate √64.1 by using linearization and use a calculator to compute the percentage error.

Q: Consider the following. 2(x-8)² + (y - 6)² + (z − 5)² = 10, (9, 8, 7) (a) Find an equation of the…

A:

Q: Q.1: Solve the differential equation below; xy' + 4y = 8 x¹

A: We have to solve above differential equations

Q: c) graph of Estimate the area under the f(x)=√x from x = 0 to x = 4 using four approximating…

A:

Q: Consider the following infinite series. Complete parts (a) through (c). Σ 310.1) k=1 a. Find the…

A:

Q: ¹(²+1) 3 lim (x + 1) sin( 24x

A:

Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 Option 4 O r=3 Option 2…

A:

Q: 2. J īdx 3 (x+2)+-(x+2)²

A:

Q: Evaluate: 10 sin(3x)dx None of them -0.532 -0.253 0.253 -0.235 0.0235 -0.325

A: The given integral is:∫π6π4sin3xdxWe need to solve the above integral.

Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and 6=. (a) Find the unit vector u…

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

Q: 1) Evaluate the following iterated integral. 2/2 sin(2y) SS dydx y 0x

A: Use change of order of integration.

Q: Locate the stationary point of the function z = 3x² + 4xy + 3y² (solve) Saddle point Maximum point O…

A: To locate the stationary point of the given function.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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: Find | 22 x²z ds, where C is the line segment from (0,4,-6) to (2,9,-5)

A:

Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

A: We can find the answer as below.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3x F(x) = [ cos (tº) dt.

A: Here we use fundamental theorem of calculus.

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S8 dx 6 x+8 ?

A: As per the instruction, we will be answering the first question. Given:

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable.   lim x→∞…

A: The given limit,      limx→∞1+axx, for some constant 'a'

Q: Problem3 Find a curve in the xy-plane passing through the point (1, 2) and for which th normal line…

A:

Q: The ordering and transportation cost C for components used in a manufacturing process is…

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 2t, where 0 ≤ t ≤ 3…

A: Here, the displacement is: S(t)=-t2+15t

Q: Calculate the tripe integrals SSS xyz dxdydz where B é the block 0≤x≤2; 0 ≤ y ≤ 1; 1≤z≤2

A: We have given in question, triple integration of xyz with respect to x, y, z

Q: In the plane R², consider the parametric curve given by the equations Jx(t) = cos(t) + 2 y(t) =…

A:

Q: Using [ y = e^(2x) (c1 + c2) + 3/2x2 (2x) ] and [ y = ( c1 + c2x ) e^(2x) + 3x/25 sinx + 4x/25 cnx +…

A: The given differential equation is;  y'' - 4y' + 4y = 3e2x + xsinx

Q: Find y dV, where E is the solid bounded by the parabolic cylinder z = = 2 and the planes y = 0 E and…

A: The solution is given below

Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x+6/(x^2+6)^1/2 Find…

A: See this solution in below

Q: S₂ (1-t) ² dt 2

A: Solution

Q: Consider the function f(x)=√1-x+6 for the d 1 Find f(x), where f¹ is the inverse off. Also state the…

A: We have to find solutions

Q: According to the ideal gas law, the pressure P, temperature T, and volume V of a confined gas are…

A: To find out the change in pressure using the differentials.

Q: Use the rules for sums of powers of integers to compute the sum. 16 Σ k k=7

A:

Q: Translate into English:  a. ∀x(E(x) ⇾ E(x + 2)).  b. ∀x∃y(sin(x) =y).  c. ∀y∃x(sin(x) = y).  d.…

A: Solution : Given that to translate into English

Q: The graph of f is shown in the figure to the right. Let A(x) = for f. Evaluate the following area…

A:

Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

A:

Q: (6xy - 3y² + 2y)dx + 2(x − y)dy = 0; when x = 0, y = 2

A:

Q: Let a = (5,4, 2) and b = (-1, -2, -3), th 3a - 5b = (10, 2, -9). Select one: O True

A:

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: True or False: We have [x 3 Select one: True False xdx > [²x x² dx

A: Here we have to use the concept of integration

Q: k Ĵ S x=0&y=0 x cos(xy) dydx =

A: Evaluating the double integral

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: answer is in next step . please give a like !!

Q: im →0 In[(x + h)² + 1] + ln(x² +1) h

A: Given: limh→0lnx+h2+lnx2+1h

Q: Given the curves y=(x^2)/2​  −4·x and y=−x^2+8,   Sketch both curves on the same coordinate plane…

A: Let's solve.

Q: Find all solutions to the equation. tan 0-1=0 Write your answer in radians in terms of , and use the…

A: The objective is to find all the solutions.

Q: Two particles travel along the space curves r(t) and u(t). If r(t)and u(t) intersect, will the…

A:

Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

A:

Q: 1₁ f(x)dx = 6 ln([x]) - 6 ln(|x]) — -—-cos(5x). -cos(5x) - 3e + x² + 6x + C

A:

Q: Minimize c = x+y+z+ w subject to 5x - y + w ≥ 4,000 z + w≤ 3,000 x + y s 700 x ≥ 0, y ≥ 0, z ≥ 0, w…

A: Min c=x+y+z+w5x-y+w≥4000       z+w≤3000x+y    ≤700x≥0,y≥0,z≥0,w≥0

Q: Define a polynomial function with all of the following properties. Roots: x=7, x=-8, x=0. It bounces…

A: Given problem:- Define a polynomial function with all of the following properties. Roots: x=7, x=-8,…

Q: This is the approximate time right ? Making the no. of days from feb to aug into 30, by that logic…

A:

Q: Find the amplitude, period, and phase shift of the function. =I 1 sin (3x-x)+3 Give the exact…

A:

Q: Q2 a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel to the…

A: We have to solve above question of vector and 3D.