Match each equation to the right triangle that represents the same statement. (Choices can be used more than once, all choices need not be used.) a²-x² _3x = a sin ___1___ x = a sec 0 4 x = a tan 0 1. X X a 8 a 2. 3. Ꮎ a x ·K x² + a² 4. X

Q: Find a number in [0,1] such that the difference of 1/3 the number from its cube is minimized.…

A:

Q: The 7th derivative of ƒ(x) = 3ñx³ – 12x4 + 7x³ − 11x² + √5 with respect to a is

A:

Q: Which of the following is TRUE for all? All functions are continuous at all points in its domain.…

A: Given :   Continous and differentiable functions

Q: 12. The graph of y=x² between x=1 and x=3 is rotated completely around the x-axis volume generated.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Which of the following is not a plane? OF- (1,3,4) + s(2,-1,2) + (1,1,1), s,t e R O-(2,4,2) +…

A:

Q: lim,→-1 22²+2-1 2+1

A: See the answer below

Q: limit. Determine whether the sequence converges or diverges. If it converges, find the 3n + 5 an =…

A: Given.

Q: Given the function z= f(x, y) = ln(x² + xy - y²), find the following: a) Find gradient at the point…

A: As per our guidelines we are supposed to answer only first three subparts of the question. Kindly…

Q: Find an explicit solution of the given initial-value problem. √₁-y² dx - √1-x² dy = 0, y(0) = . √3 2…

A:

Q: 2² (9-82ja 9-1² 9. S dt

A:

Q: The differential equation y""+ay""+by" + cy + dy = 0 6t has a solution y 2tet 6e sin(3t) for real…

A:

Q: Which of the following corresponds to the x-4 √x-2 evaluated? 0 4 2 DNE limx→4 ( when

A:

Q: 3- Find the area between the parabola x² = 4y and the straight line x-2y + 4 = 0

A:

Q: (i) f(t)= est+cos 4t

A: According to company's rules, I need to solve first question when multiple questions are posted...…

Q: What is the limit of 3x4 as x approaches ? 1 2 12 evaluated 2 3 16 0 1 16

A: Given problem:- limx→12 3x4

Q: dx (x²+1)(x²-4)² dx (x²+4x+4) (x²-4) dx x(x+1)(x²+5x+6) S S S

A:

Q: Which function is Chain Rule most useful for? Composite function Polynomial function Logarithmic…

A: In Differentiation chain rule is important tool for differentiating composite function .

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Please see the below picture for detailed solution.

Q: f(x) = 2²3 on (0, ∞) x+3

A:

Q: Which of the following is equivalent to the expression a) √√³² Ob)-20 h³ d) h² • ?

A:

Q: Write the given system in the form x' = P(t)x+ f(t). x' = 4x+6y + 8 et y' = 8x-y-t¹ D-AD-41 C

A:

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Concept: Wronskian method: W(x1(t), x2(t), . . . , xn(t)) =x1(t) x2(t) · · · xn(t) xx1'(t) x2'(t) ·…

Q: Find the volume of the solid formed by revolving the graph of y = 2e- on the interval [0, ∞) about…

A:

Q: x³ - y³ z = f(x, y) = x² + xy + y² 0 for for (x, y) = (0,0) (x, y) = (0,0)

A:

Q: 10 5(5+10) a/n A ナ B 5+10

A: See the details solution in below

Q: 26 Functions f(a) and g(x) and their first and second derivatives evaluated at z = 1 are listed as…

A:

Q: UT 5 4 3 2 1 Find lim f(x) 3 05 2 04 O Does not exist 2

A: Given

Q: xcsc {( 2 ) - »]dx + y y dx+xdy=0 X (x² − xy + y²)dx−xydy=0

A:

Q: Given a function f(w, x, y, z) = y ln(wx) + (+1) tan z, which of the following is not part of the…

A: follow next step

Q: 11. Use L'Hopital's rule to find the following limits. x² + 3x-4 x-1 (a) lim x-1 In x xx-1 (b) lim

A:

Q: The graph of f is given below. -2.5 -2 Where is f discontinuous? Answer: f is discontinuous at x =…

A: We need to find the discontinuous and non-differentiable points from the graph.

Q: 7 For what value of k are the vectors u Select one alternative: Ok=-1 Ok=-2 Ok=1 Ok=2 (1,-1,-1) and…

A:

Q: Find the lim, lim, 0 0 (cos x)2 Show your complete solutions. No shortcuts.

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Here we have to check the convergence of given integral

Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: The graph of a function is said to be continuous if the value of the function exists for all values…

Q: Given a function, Based on the function, S-3 F(s) = 2 S² +6s+13 a) Determine ƒ(t). b) Based on…

A:

Q: B. 2x³ +2y-3y² = 13x Steps 1. Take the derivative of both sides with respect to x. 2. Since the left…

A:

Q: Considering a continuous function f(x) = 2e³-¹ – 2x, which is true about the relative extrema of f?…

A:

Q: Sx² 1 if if > 2 x f(x) = 5 3 if x < 2 af is differentiable at x = = 2 bf is continuous at x = 2 cf…

A:

Q: (i) Find equations of the tangent plane and the normal line to the given surface at the specified…

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: Given w = xe¯ª + ln(x²yz³). Determine δω ?х ?w dx 2 = -xe tết xyz³ dw = xe¯* + 1 + 1²/12 8x dw…

A:

Q: A manufacturer has determined that the weekly profit from the sale of x items is given by the…

A: SOLUTION-

Q: 4. Determine if the following lines intersect. If the lines do intersect, state the solution. If the…

A:

Q: What is the equation of the tangent line to the curve y=x^ +2x −x+8 where x = 1? y = 7x - 3 y = 7x…

A:

Q: Show that the following series is divergent using the Test for Divergence. 4k³ - 1 k³ + 5k² + k k=1

A:

Q: What is the lim+∞0x².e-²? For answers write... that are in decimal form and round off fractions to…

A:

Q: ९२ e 17 olx

A: ∫1e2(1-x)/dx2x here integration is given  ∫1e2 dx/2x - ∫1e2 dx/2 (1/2)[lnx]1e2 - [x/2]1e2 (2-ln1)/2…

Q: 3 s) Suppose that the direct demand and direct supply functions are q = - - 1 and q = 1 respectively…

A:

Q: For the following flux rules, determine regions of the real line where u is instantaneously…

A: