Joey is 5 years older than Kimberly. In 8 years the sum of their ages will be 79. How old is Joey now? > Next Question years old

Q: Find the first partial derivatives of the function. F(x,y)=1+x^3+y^4

A: Given the query is to find the first partial derivative.

Q: Find the limit. lim (t i − 4 j + t² k) : = t→8 i i+ i lim (t i 4 j + t² k) t→8 j+ i

A: Given query is to find indicated limit.

Q: Show that Y=22.4sin(1.1x) is an eigenfunction of the operator (d²/dx²). What is the eigenvalue? O a.…

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Q: 2. cos x cos y dy-sin x siny dx = x² cos x sin y dx

A: The given equation is: cos x cos y dy-sin x sin y dx=x2cos x sin y dx Dividing it by cos x cos y we…

Q: and the first partial derivatives of the function. f(x, y) = 4y

A: Given the query is to find indicated partial derivative.

Q: abus Content Grades Progress ✓ of Contents > Week 8 - Part One 7.2 Calculus of Parametric Curves…

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Q: . Which of the following is an orthogonal pair of vectors? A. (1, 0, 1) and (1,1,0) B. (1, 1, 0) and…

A: The vectors a and b are said to be orthogonal vectors if their dot product is 0.

Q: Find the absolute maximum and minimum of f(x,y)=4x+3y within the domain x^2+y^2≤16 Please show your…

A: Concept: Absolute maxima of a function refers to its highest point within its whole domain, whereas…

Q: DETAILS ZILLDIFFEQMODAP11 4.1.002. The given family of functions is the general solution of the…

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Q: S 2 x ²4x³-5 X e cote 4x³-5 dx

A: The objective of the question is evaluate the indefinite integral.

Q: = √x³ + 2x³-3x d (x²+1)³ dx

A: Topic:- application of integration

Q: Find the function M(x, y) such that M (x, 0) = eª and the differential equation M(x, y) dx + (sin x…

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Q: Step 2 Apply the rule of integration by parts. -√ x Judv Let dv= ew dw and integrate the…

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Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

A: Here, the given curves are y=2x, y=6, x=0 The region bounded by the curve is:

Q: ² x (√x + √x) dx

A: We know that integration power rule is  Integration of xn is xn+1/n+1 + C. Here C is integration

Q: license plate must contain 3 numerical digits followed by 2 letters. If the first digit cannot be 0…

A: We will find the required.

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

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Q: 13. +27x-27 √x² dx √x² - 6x +9 2 (Ans: x³ + x² + 36x + 81ln|x − 3| + C)

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Q: Find the indefinite integral. (Use C for the constant of integration.) | VECES + √t(t + t - 4) dt TE

A: Given the query is to finding the integral.

Q: hraj h(x) = 3x-2 x347

A:

Q: Sketch both parametric curves below. Then determine if they intersect. If they intersect, find the…

A: Given,

Q: Evaluate the definite integral. [²³ sin5(x) dx Step 1 6.² sin5(x) dx, first rewrite the integral. To…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Find curl(5zi + 6xj + 3yk).

A: Our Aim is to find the curl 5z i^+6x j^ +3y k^-(i)

Q: c) = = 4x + 1. If the limit does not exist enter DNE. ] lim h→0 ƒ(6 + h) − ƒ(6) h

A: Topic:- calculus

Q: Use an appropriate linear approximation to estimate (Round your answer to three decimal places.)…

A:

Q: Find the average value of on the interval [1,12]. favg Now, find e such that ln(c) = favg. = 2.61 C…

A: Given the query is to find the average value of the function.

Q: ) Sketch the region described below b.) Set up the integral to find the area of the region inside…

A:

Q: or Questions 1-3, use the differential equation given by 1. Complete the table of values -1 X y dy…

A: Put value in function

Q: 2. (2xy-tan y) dx + (x²-x sec² y) dy Answer: x²y - x x tan y = C. = 0

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Q: y' = 4+t-y, y(0) = 1 (a) Find approximate values of the solution of the given initial value problem…

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Q: Admission to a baseball game is $3.50 for general admission and $6.00 for reserved seats. The…

A: Given the query is to find the number of each type of tickets sold.

Q: Determine the vector field of F. F(x, y) = 4i - 2j O O Y X X

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Q: What is the coefficient of the term containing x^3y in the expansion of (5x+y)^4?

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Q: Let s(t) v(t) = 6t³+9t²360t be the equation of motion for a particle. Find a function for the…

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Q: Let D the region in the first octant bounded by the hyperbolas (xy= 1, xy = 3), and the two planes…

A: Given Data xy = 1 xy = 3 y = 2x y = 4x Z = 4

Q: Use a surface integral to calculate the area of the disk S given by z = 5 − y that lies inside the…

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Q: What is lim x=inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^(3n)] + 2? (express answer as x,y)

A: Solve the following

Q: Consider the following function. f(x) = √√√x-4, x>4 What is the domain of f? (Enter your answer…

A: The given function is fx=x-4 , x>4

Q: [ 8®in}x sin 3 xdx (Ans: 3/8 sin²x In 8 + C) Hint: Use 2 sin cos 0 = sin 20

A: To evaluate the integral

Q: fy X = = 11 f(x, y) = (x² + y2)2/3

A: Given the query is to find indicated partial derivative.

Q: Find div F and curl F if F(x, y, z) = 7evi-4 cos yj+ 10 sin² z k. div F= curl F

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Q: 3. Determine the point(s) where the function y=₁, has a maximimum and/or a minimum. Find BOTH…

A: The given function is y=x2x-1

Q: Decide whether each labeled point is an absolute maximum or minimum, a relative maximum or minimum,…

A: Note:- according to the company policy we can attempt only three subparts of a question so please…

Q: Question Given F(x) below, find F'(x). Provide your answer below: F'(x) = F(x) = ™* In (6t – 3) dt

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Q: 4). Use the Integral Test to determine whether the sum converges. ∞     n = 1 n 1 + n2

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Q: State the order of the given ordinary differential equation. (1-x)y" - 9xy' + 2y = cos x Determine…

A: The objective of the question is determine the order and check the linearity.

Q: Question Use an appropriate linear approximation to estimate √48.95. (Round your answer to three…

A: Given data÷ Use linear approximation to estimate 48.95 Since 49=7 is easy to compute and 49 is close…

Q: 0.6 T² 9 - 25x² dx

A: The given integral is x2/sqrt(9-25x2), limit from 0 to 0.6.

Q: Use the formula k(t) k(t) = "(t) || ||r' (t)||³ r(t) = 11 cos(3t)i + 11 sin(3t)j + 2tk ||r' (t) = to…

A: The given formula is; κt=r't×r''tr't3 And rt=11cos3ti+11sin3tj+2tk   As we know the Chain rule:…