in a physiology class, a student must dissect three different specimens. The student can select one of nine earthworms, one of seven frogs, and one of six fetal pigs. In how many ways can the student select the specimens?

Q: Problem : Find the derivative of the series 2x 4x2 8x3 16x4 32x5 f(x) =1+ 1! 2! 3! 4! 5! Also show…

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Q: Which of the following is the inverse of the functionf : [0, ∞) → [3, 0), f(x) = 2.x² + 3? Select…

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Q: solve the exponential equation. If the solution is not an integer, round to 4 decimal places.…

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Q: pleasee answer C and E

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Q: Integrate the ff.

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Q: dz at If z = 3xy, x = 2t, y = 1 – t then dt - - t = 3 is: Select one: -27 -29 -28 O None of them O…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

Q: 43, 44, and 45 Evaluate the integral by changing to spherical coordinates. 43. xy dz dy dr

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Q: Which one is one of the critical points of the function f(x, y) = 2x² + 2y + 8x – 4y + 11? Select…

A: for critical points, partial derivative should equal to 0.

Q: R Examine the discontinuity for each of the following functions. If the discontinuity it removable,…

A: The objective of the question is examined the continuity and removal discontinuous.

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 4, 3) (b)…

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Q: panding such that its length is always 4 times its width. If the ng at a rate of 0.5 cm/min, is its…

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Q: 2.* 3 S(x* + 2x - 1) cos 4x dx 3x2 +. 16 13 х 13 sin 4x + 4 cos 4x + C 32 128 B 13 х (3x2 sin 4x + 4…

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Q: y =-x (b) Use it to project the vector v =

A: Given

Q: (ii) Using the result of the derivative above and the fact that integration is the antiderivative…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (11, 10, −7) ∇w(11, 10,…

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Q: Y1 = x² + 2x + 1 Y2 = 2x + 26 dx y2 35 30- 25 20- y 15 10

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Q: C Solve the following problems. 16. What value of k makes the function continuous at x= 3? Graph the…

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Q: integrate the following:  Ue the U-substitution. ∫3/(√4x2-12x+9) dx

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Q: To save for graduate school, a student invests $1780 semiannually in an ordinary annuity with 7%…

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Q: Megan wants to enclose a rectangular field with five internal partitions as shown. If the area of…

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Q: = 4x +C

A: Topic = Integraton

Q: | cos(V) dx 2 Vx sin (Vx)-2 cos (Vx)+C C 2 Vx sin x (Vx)-2 cos (Vx) + C 2 Vx sin (Vx) + 2 cos (Vx) +…

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Q: Let f(r) = x³ on [0, 1] and let Pn be the arithmetic partition that splits [0, 1] into n equal…

A: Given

Q: Given the differential equation x+2 2y ? find the particular solution, y = f(x), dæ with the initial…

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Q: 5 dz Evaluate the integral: J1" (2+3z)³ (2+3x)³ O 22 O None of these 30 15 Clear my choice

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

Q: d²y #3. Find if x' + y' = 9 dx? |(-1,2)

A: x2 + y3  =9 now differentiate it  2x + 3y2(dy/dx) = 0 dy/dx = -2x/3y2 now agian differentiate with x…

Q: Find the area bounded by the graphs of f(x)=x+2, g(x)=3x²+5 , x=-1 and x=1.

A: Explanation of the answer is as follows

Q: 1. Let Ā = (-1,2, 3) and B = (4, –3, 1). Find the following. c. [2Ã] – |3| e. JÃ – 2ĒJÄ a. JÃ|B –…

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Q: Let y = f(x) be the solution to the differential equation initial condition f(7) = –4. What is the…

A: Find your answer below

Q: |lv|| = 4, e = 3.8° V = Need Help? Read It

A: We will find the component form of v.

Q: 1 cos(sec-x) dx 2/V3 xVx²-1

A: Let's find.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the eract answers in terms of i,j…

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Q: 1. Evaluate the indefinite integral, ſx² sinh x3 dx.

A: To evaluate the indefinite integral, ∫x2 sinh x3 dx.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 4j as…

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Q: 7) Find the radius of convergence and interval of convergence of the following series: (х — 2)" | n²…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Use integration by part to obtain a formula for f x"e*dx and use it to find S x'e*dx. 3 5x

A: We have to find the integral

Q: An isosceles triangle has one vertex at the origin, with its other two vertices above the origin and…

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Q: 1 Determine the definite integral of 4 3(Vx) xp (DE + x^)S

A: Let I=∫49x+13xdxApply the Sum Rule:…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: PROBLEM [ B6 (a) ] : Obtain the differential equation whose general solution is y = a sin 7x – b cos…

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Q: -1 Sketch the function fx) = indicating any extrema, points of inflection, and vertical asymptotes.…

A: Follow the procedure given below.

Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (3x-y)^10 ax^2y^8

A: Binomial expansion:(a+b)n =nk ak bn-kfor: (3x-y)10: a=3x, b=-ya x2y8:Third term:k=2:(102) (3x)2…

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

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Q: 2. Use the Closed Interval Method to find the absolute maximum and absolute minimum values of f(x) =…

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Q: 4. dy - (x-y+ 1)'dx = 0

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Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, -2, 1, 5} }…

A: We can find the range and graph the polynomial as below.

Q: Find the exact area of the surface obtained by rotating the curve y=÷x², 0<x<12, about the y-axis.…

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Q: 22. Which of the following statements about the functions y = f(x) and y f(x) is true? A. If the…

A: Here, to find the correct statement for the functions y=f(x),y=1f(x)

Q: Find the radius of curvature of a parabola y2 – 4x = 0 at point (4, 4). A. 22.33 units B. 25.78…

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