Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i- 6j as adjacent sides.

Q: integral is 3 1 y IT (6 x² y -4 e')dxdy= ? -1 y 942 O - 16e3 + 5 932 O - 16e + 5 None of he others…

A: Given query is to find the value of the integral.

Q: mine a region whose area is equal to the given limit. Do not in tan 6n, lim n- co 6n i=1 tan(x) on…

A: We have to choose the correct option from the given options according to the given information

Q: Find the limit of the 4 n + 2 sequence lim . Show your work. V2 n+4 n- 00

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot…

A: Given: Land in downtown Columbia is valued at $10 a square foot. Triangular lot with sides lengths…

Q: The value C for the solution of the initial value problem f'(x) = x – 7x + 3, given that f(0) = 0. C…

A: A detailed solution is given below

Q: Q: Find the equation of the tangent plane to the surface:- z-Ln(xj) -x5J , atthe poit (7,4)

A: The given surface is z=lnx2y-xy=fx,y at the point -12, 4. The equation of tangent plane is…

Q: Evaluate: (16-9+6)dt

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Q: evaluate the following limits (x+3)3-27 limy -20

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: -) If A and Bare 3 x 3 such that det A = 3 and det B = 2 } Find, if possible, the value of det(A²…

A:

Q: Sketch fully by finding all the necessary information given f(x), f' (x) and f"(x) 8х-32 16-8x f(x)…

A: Solve the following

Q: Solve the inequality. (Enter your answer using interval notation.) 4x2 - 16x 2 0 Graph the solution…

A: 4x2 -16x  > 0 x(4x-16) > 0 x > 0    and 4x -16> 0 x > 0    and   x > 4 so here…

Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

A: Total amount of pollutant dumped is obtained by integrating the function A(t)

Q: S 3n? + 2n + 1 n2p-1 + 137 n=1

A: The given series is: ∑n=1∞3n2+2n+1n2p-1+137 Let, an=3n2+2n+1n2p-1+137, bn=n2n2p-1=1n2p-3; n≥1

Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =…

A:

Q: The value C for the solution of the initial value problem f'(x) = x - 8 +4, given that f(0) = 0. %3D…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the antiderivatives following function. 1. f(x) =x' - 3x² +7x +e*

A:

Q: Given the triangle, find the angle 0 in radians. Round to the nearest tenth.

A: Given the triangle below, our aim is to find the value of angle θ in radians.

Q: Calculate the limit for the function f(x) = x + 4 over the interval [0, 4]. Verify your answer by…

A:

Q: Consider the following parametric equation. x=7(cos(t) + tsin(t)) y=7(sin(t) - tcos(t)) what is…

A:

Q: Find the following indefinite integrals. x* – 5x dx. 2. x3

A: Answer is given below.

Q: Evaluate the limit. N 5i lim > N2 i=1 (Use symbolic notation and fractions where needed.) N 5i lim…

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Q: Find dx at x--3 if y-5x-2 and Do NOT Round.

A:

Q: Solve equation by using the quadratic formula. List the solutions, separated by commas. 3t + t – 9 =…

A: Our Aim is to solve equation given below using the quadratic formula3t2+t-9=0 -(i)

Q: 16 – 8x f(x): x2

A: Follow the procedure given below.

Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 4]

A: Use critical value and end points for absolute maxima and absolute minima.

Q: Find the limit or show that it does not exist. V1+4x6 (1) lim x- 2- (2) lim (V9x2-5x+3x

A: 1. limx→-∞1+4x62-x32. limx→∞9x2-5x+3x

Q: Find the absolute maximum value of f(x) = x? - 2x + 12 over the interval (0, 5]

A: find absolute maxima if it is helpful, appreciate

Q: Find an equation of the tangent line to the curve y = xVx that is parallel to the line y = 6 + 3x. y…

A: The curve is y=xx, whose tangent line is parallel to y=6+3x

Q: Find the limit or show that it does not exist. V1+4x (1) lim x-o 2-x3 (2) lim (V9x2 – 5x+3x

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Q: Evaluate the integral. 1. (7 – 8v3 + 16v7) dv |

A:

Q: x-8 1. limx-2 x-2

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

Q: 10. Find the average value of the function f (x) 1 = -x + Vx on the interval xe[0,8]. Graph on…

A: The average value of the function is given by;favg =1b-a ∫abf(x) dxTo plot the average function…

Q: Write the partial fraction decomposition of the improper rational expression. x4 + 2x3 + 8x² + 13x +…

A:

Q: + 16)° dx

A:

Q: 4 Using the e – 8 definition of limit, prove that lim x→3 3x 1 1 2

A: To prove the limit of given function using the epsilon delta definition of limit which states that…

Q: A truck with 38-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in…

A: Given query is to find the angular velocity and the Frequency.

Q: Express the answers in the simplest form. Step by step. Use implicit differentiation to find the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: Problem #3 Find intervals on which f (x) = -3x² + 54 In x is increasing and decreasing

A: Topic = Function

Q: 1) A pump is used to fill an inflatable mattress at a constant rate of 0.25 cubic feet per second.…

A:

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у)…

A: Given: As no method is mentioned, we will be answering by graphical method.

Q: Show that the equation 2x+ sinx=0 has exactly one real root. (Hint: Step 1 show that the equation…

A: Solution is given below:

Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =…

A:

Q: . Solve the following inequalities and write the solution in interval form i) 2|2x+7| +2 <24

A:

Q: Find the absolute maximum value of f(x) = x? 2x + 12 over the interval [0, 4] -

A:

Q: Determine whether each improper integral converges or diverges, and find the value of each that…

A:

Q: 5) y=-4, y=x² - 4, x= 2 Axis: y = 2 Find the volume of the region that revolves around the given…

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Q: 1)" Given: In(1+ x) = > if x < 1. n + 1 n=0 1. Find the Mlaclaurin series for f(x) = x ln (1+ 3)

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Q: Activity 1.2.3. Consider a moving object whose position function is given by s(t) = t2, where s is…

A: topic- average value

Q: For each of the following, solve for x. 1 a. x+2 7-X

A:

Q: A learn.hawkeslearning.com/Portal/Lesson/lesson_certify#! narks 0/13 1 Question 3 of 13, Step 1 of 1…

A: