dx It see ax a) x + 1 (cot ax- csc ax) + c 6) x + 1 ( cot ax + μc ax) + c c) x + £ (cut ax + cac ax) + c d) none of the above

Q: 7. Given: (2x f(x) = (4x² if x > 11 if x ≤ 1 What could be the possible value of 1₂ f(x) dx |? a. 5…

A:

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A:

Q: - S™ SX x² cos cyldy dzdx

A:

Q: 4. y +==y² A.-4-2 5. 4x² + 4y2 = 36 A. - 6. x² + 3xy-y = 7 A. 2x-3y 3x-1 B. 3 B. 4y-2 KIA 2x+3y 3x-1…

A:

Q: Given a function y² z f(w, x, y, z) = 2(w + 1)²x - xe² + W which of the following is not part of the…

A:

Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: See the details solution in below

Q: Determine whether the differential equation - (7x² − 2xy + 3) dx + (8y² − x² + 7) dy = 0 is exact.…

A:

Q: 2 ln x + ln (x+1)- 1/2ln (x^2+1). Compress the logarithmic expression.  PRE-CALCULUS HW question..…

A: The given expression,   2 lnx+lnx+1-12lnx2+1

Q: Find the Taylor series expansion of f(x) = ln(3-2x) about a = 1.

A: Given: f(x)=ln3-2x,a=1

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: Consider the level surface defined by the equation x² + 2y²-3z² - xyz = 8, find the following: a)…

A:

Q: If c is a constant, what is the limit of cas x approaches a? 0 C a X

A: given c is a constant

Q: One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate…

A:

Q: sin 2x dx 4. J2osin cosmetin2xdx

A:

Q: Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it…

A: This question can be solved using the concept of limit and continuity.

Q: Consider the level surface defined by the equation x² + 2y²-32² - xyz = 8, find the following: a)…

A: Given problem:- Consider the level surface defined by the equation x2 + 2y2 - 3z2 - xyz = 8  Find:-…

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

A: Explanation of the answer is as follows

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

A:

Q: ل 2 ل وه هه ** ** " سم Z || . 1

A: Given problem:-

Q: Consider a 3 by 3 matrix A, where a11, 022, 933 are all zero. Suppose |A|0, how many terms in the…

A: Follow the procedure given below.

Q: Solve the following initial value problem using Laplace transforms. d² y dt² -9y=4e³¹; y (0) = 0,…

A: d2y/dt2 - 9y =4e3t; y(0)=0, y'(0)=-1.

Q: your final answer 2. 54-e) cos(-+ In z) dz 3. Setanx+(tan² x)e+tanx dx S 4. 22x cos²x-ain 2x dx 5.…

A: I am attaching image so that you understand each and every step.

Q: x/8 sin 3r cos 5r dr

A:

Q: The volume of a solid E is given by 9-1² 9-x²-y² 1.***** 1 dz dy dx -3 JO 0 (a) Sketch each of the…

A:

Q: 2.) Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

A:

Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: f(x) = 2²3 on (0, ∞) x+3

A:

Q: For which values of a and b E R is the following piecewise function continuous on IR? sin(a )+ ax0 x…

A:

Q: What is the derivative of y = 3x6? 2x6 2x5 18x6 18x5

A:

Q: The graph of f is given below. -2.5 -2 -1.5 Why is f not differentiable at = -1? Of has no tangent…

A:

Q: Find the integrating factor by inspection then solve the following differential equation. Show your…

A:

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: Evaluate the given limit. Show your complete solution. limx→∞ [e5z + x²]

A:

Q: What is the limo+ sin(y) In(y)? For answers write... that are in decimal form and round off to…

A:

Q: For the next three series, (a) determine the radius of convergence, (b) determine for which a the…

A:

Q: Figure 1 shows a continuous piecewise function's graph. f(t) 4 3 2 1 1 2 3 4 Figure 1 a) Based on…

A:

Q: Match each equation to the right triangle that represents the same statement. (Choices can be used…

A: To find out the correct match for each of the statements.

Q: What is the derivative of y = sin (x³ sin (x³ – 3x)? dx = cos (x − 3) dy dx = cos (2x - 3) dy = cos…

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: Find the general solution of the given differential equation. xdy-y=x² sin x yw Give the largest…

A: Explanation of the answer is as follows

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

A:

Q: Give the general equation of the plane containing the point (3,-1,4) and x 2-2 perpendicular to the…

A: The given equation of the linex2=y=2-z-3which can be written asx-02=y-01=z-23.The given point is…

Q: What makes a function f(x) continuous at x = c? I. f(c) is defined lim f(x) exists II. X-C III. lim…

A: The function f(x) is said to be continuous at x=c if: I) f(c) is defined. II) limx→cf(x) exists.…

Q: 10s²+17s+12₁ S³+27 L-¹1²

A:

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: What is the lim 0 (sing - )? If your answer is a Whole Number Fraction (+) Positive Infinity (-)…

A:

Q: A water tank is in the shape of an inverted cone. The cone is 8 ft tall and 8 ft wide at the top.…

A: Given a cone of 8 feet height and base has a diameter of 8 feet, the cone is inverted. To find the…

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

A:

Q: 2. gxc2x2+3 dx Selast & du 니 get x in terms of u ut 2x2 +3 4-3 = ㄹ x² 4-3 x = 이들 4-3 z soke har x…

A:

Q: For the equation y I. Domain 2. Symmetry 3. Intercepts (if any) YA In (x-6)ex, find; =

A: