State the range of f(x): {y € Ry> 4 -3} {ye Ry - 4 3 {y € Ry#0} {y € Ry>0} } = 1 3x +4'

Q: d the length of the dashed zig-zag path in the following figure. X+ 0.75+ 0.5+ 0.25+ 00.25 0.5 0.75…

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Q: -√x Q3. Change the order of integration and evaluate f* f* dy dx.

A: We can solve as follows

Q: b\ Fill the blanks 2/3 (1) Suppose you have a matrix x = [33], 13 4/5/61 2) Suppose you have a…

A: To fill in the blanks.a Suppose you hava a matrix x=12343456, then x...=35.b Suppose you hava a…

Q: y = ³/2, y = 8, x = 0

A: answer is in next step. please give a like .

Q: Calculate L6 for f(x) = x² + 5|x| over [-1,6]. (Use decimal notation. Give your answer to three…

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Q: Find the length of the dashed zig-zag path in the following figure YA 1+ 0.75 0.5+ 0.25-

A: The solution is given below

Q: f(x)=4 sin¹+x+√4x²

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Q: y² = 8x,x=2, AOR = Y AXIS

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Q: Consider the points P(0,0,6) and Q(-42,6,0). a. Find PQ and state your answer in two forms: (a,b,c)…

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Q: Convert the point (ρ,θ,ϕ)=(6,11π/6,π/2)to Cartesian coordinates. Give answers either as expressions,…

A: Convert given spherical polar coordinate in to Cartesian coordinate as follwing:-

Q: 10. (a) Describe the transformations of y = x³ into the function f(x) = 8(x-1)³ -5. = (b) Describe…

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Q: Evaluate the following definite integral. Express your answer in terms of logarithms. In 9 S In 7 In…

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Q: 1.) a. Verify that y, (x). and y₂ (x) e are solutions of the differential equation 2y" y'-y-0 on…

A: We have to find if given are solutions to differential equation or not.

Q: Suppose f (x, y) = 25 −4x2−3y2. Calculate both fx(1, −1) and fy(1, −1). Sketch (by hand, or, better,…

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Q: Calculate the arc length of the indicated portion of the curve r(t). r(t) = (3 − 2t)i + (1+6t)j +…

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Q: A tank contains 40 gal brine for which the concentration is initially 3 lb/gal of salt. A brine…

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Q: (5) (a) For all n € N and a + 0, show that k=1 11 1 1

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: If y=-2x² + sin x solve for the differential of dy.

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Q: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

A: We need to find R6, L6 and M3

Q: 322. Two poles are connected by a wire that is also connected to the ground. The first pole is 20 ft…

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Q: 2 + y²

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Q: Consider the implicit function. e = sin (6x) Determine the formula for in terms of x. dy dx dy dx

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Q: Find dw/ds and aw/at using the appropriate chain rule. Evaluate each partial derivative at given…

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Q: Convert the point (√3, 1, 0) from Cartesian to spherical coordinates.

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Q: y = 16 X + x² at x at x = 4.

A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

Q: Graph the function showing all relative extreme points and inflection points. f(x)=√√√x6 + 4 ++ 2 3…

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Q: In a triangle ABC, points E and F are on the sides AC and BC respectively, such that AE is 1/3 of AC…

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Q: Find the divergence and curl of the vector field F(x, y, z) = (xy — 2², 2x+cos(yz), 2y² - sinz) at…

A: Here we have to find the divergence and curl of given vector field.

Q: Find the limit: ху lim (x,y)→(1,1) x² + y²

A: Apply the limits

Q: Find the point on the parabola y=22 that is the closest to the point (8,11/2) on the Cartesian…

A: Since multiple subparts are asked, I am answering first 3 subparts

Q: A 25-year old woman burns 150 - 60t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

A: Given-

Q: ind the solution of the given initial value problem. y(4) 10y" + 25y" = 0; y (1) = 8+e5, y'(1) = 6…

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Q: Find v-u. v=4i-7j and u= -9i+2j OA. -5i-5j OB. -50 O C. -36i-14j OD. -22

A: Given: v= 4i - 7j u= -9i+2j

Q: Calculate the future value of end-of-month payments of $6,000 made at 2.64% compounded quarterly for…

A: To find the amount after 5 years.

Q: Given the following function,f (x)= -x^2-10x-25 , use the second derivative test to decide whether…

A: Now the equation(function) given in the question f(x)=-x2-10x-25

Q: 5. Determine the area below f (x) = 10 - 2x² and above the line y = 3. 11. 6. Determine the area…

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Q: x=2x+1 y -2 4 3 2 > 2

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Q: Use polar coordinates to set up and evaluate the double integral f(x-

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Q: 11. Determine the divergence or convergence of the following improper integrals and evaluate if it…

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Q: - lim x²ln x x->0+

A: Solution of given question is written in below steps.

Q: bn = n' ебп

A: Here, the given sequence is bn where bn=nne6n

Q: First four terms of the sequence are: O O O ○ ○ O 6 {ff, 5 14 9 n²+5 n 1+4 n 61 36 26' 14 { 14/1/2,…

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Q: Given the lengths of two vectors, namely, |u| = 1 and |v| =2, find the the dot product of u + v and…

A: answer is in next step.

Q: XP xh+qx X 2+ X-2 f

A: This question can be solved using the concept of integration by partial fraction.

Q: II. L' Hôpital's Rule. Evaluate the following limits using L' Hôpital's Rule. 3-x 1. lim 1-3 2-8

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

Q: The expression log10 √²+1∙log10 1000 is equivalent to: Ο Α. 1000(x² + 1) log10 3 B. log10 (²+1) O C.…

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Q: Grandma wants to give you $540 at the beginning of each month while you are at school for 3 years.…

A: We know that, Future value = PMT × p {[(1 + r/n)(nt) - 1] / (r/n)} where, PMT is the periodic…

Q: If f is an even function and fº, f(x) dx = 2 and f f(x) dx = 9, find ſº ƒ(x) dx. (Use symbolic…

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Q: Consider the following equation. =(21+√51) f(x, y) = y^/x, P(1, 3), u = (a) Find the gradient of f.…

A: Given :fx,y=y4x