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Q: he velocity vector? Di+O i+O k

A: Topic:- application of derivatives

Q: Problem 9 Compute the derivatives of: (a) f(x)= e6z²+3z (b) g(x) = r°e² (c) h(x) = In(3r“ + 2x)

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Q: Problem 11 Explain what it means that F(x) = x7 is an antiderivative of the function f(x) = 7x6.…

A: Solved below.

Q: dy Given the equation below, find de 1722 + 8x8y + y° = 26 dy dx Now, find the equation of the…

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Q: 4. Find the Linearization of f (x) = sinx at a = 7. Provide your answer as L(x) =?

A: Here we have to find the linearization of f(x)

Q: 2. The demand and supply equations for a commodity are given below p = 245 – 5x Demand equation p =…

A:

Q: Consider a rectangle with the following property. Perimeter: 112 meters Let w represent the width of…

A: A rectangle has perimeter 112 meters.

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x -1 X-1 a. Find lim f(x) or…

A: This question is related to limits, we will solve it using given information.

Q: To find the distance across a river, a surveyor choose points A and B, which are 224 m apart on one…

A: In this question we have to find AC and distence across the river.

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

A: P(x) has roots of multiplicity 2 at x=1 so (x-1)2 is a factor of P(x).  P(x) has roots of…

Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: topic - Area bounded by curves

Q: 3) y"+2y'-8y 0, y(0) = 1, y'(0) = 8.

A: Given:y''+2y'-8y=0y(0)=1 y'(0)=8

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 1 x intercepts…

A: Solve the following

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: . Find the general solution to y + 2x = 5y³. dy . Solve the initial value problem of (sin x) = y cos…

A: Topic:- differential equations Note :- as per our guideline if more than one question uploaded than…

Q: G В R K + Match each equation with a graph above E 4(1.49)" a. blue (B) |- v |2(1.22)* b. orange (0)…

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Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. %3D r(t) = (4 e*…

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Q: Problem 7 Find the horizontal and vertical asymptotes of the function y = f(x) and use limits to…

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Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: 6. Two triangles can be formed using the given measurements. The other measurements of the triangle…

A: For other triangle m∠B=180-55.092=124.908°m∠C=180-124.908-41=14.092

Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

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Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A: A detailed solution is given below.

Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: Q2. Do as required 3. Evaluate: lim (-) X0 sinx

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Q: Find the area of the region that is enclosed between y = 6x² – 2³ + ¤ and y = z² + 5z. The area is

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Q: Find the following limit. Answer as a fraction or integer (no decimals.) x +4x- 12 lim x+2 4

A: Solving the problem by finding the value of the limit.

Q: -2 Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

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Q: Find the exact length of the curve y=1+6x% for 0<xsl

A: We have to find the exact length of the curve y=1+6x32 for 0≤x≤1.

Q: de r= 4 e ao and = 3 dt

A:

Q: Problem 1 Solve the inequalities and sketch their graphs on the real number line. (a) 4r – 6 > 10…

A: We have slove inequality  As per guidelines we have to solve 1 question if you need please repost…

Q: (3)" n=0 _n!

A:

Q: Find T, N, and k for the space curve, where t> 0. r(t) = (2 cos t+ 2t sin t)i + (2 sint- 2t cos t)j…

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Q: The Laplace transform of ,-2r ,3(1-t) dt e is Select one: 1 (s + 3)(s – 2) 1 (s + 3)(s + 2) 1 (s –…

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Q: II. Find the area bounded by each of the following curves. Show your complete solution. Write your…

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Q: Use the graph of H shown to the right to find the limit If necessary, state that the limit does not…

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Q: A volleyball is hit when it is 4 ft above the ground and 12 ft from a 6-ft-high net. It leaves the…

A: We need to find vector form.

Q: Find the Taylor polynomials P,,P,, P2, P3, and P, for f(x) = ln(x³) centered at c = 1.

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Q: Find the given limit. 2 X -5 lim 4-x X -4 x -5 lim %D 4 -x X→ -4 (Simplify your answer.)

A: Find the given limit

Q: 14. %24

A: For determining the continuity of a function from its graph , we need to examine whether the graph…

Q: Find the vo lume oF the solid OF revolution when the regiON bounded by y = x +1, the solid X-axis,…

A: Given problem:- Find the volume of the solid of revolution when the region bounded by y = x + 1 the…

Q: Find the given limit. lim (-x + 2x- 1) x-5 lim (-x +2x-1) = (Simplify your answer) X-5

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Q: Find the area of the region between the curves 4x + y? = 12 and z = y. Area between curves =

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Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: 2 v2x-x2 XY xydydx 0 0

A:

Q: Let V be the volume of a pyramid of height 15 whose base is a square of side 5. 5

A: Solution: we can find a similar triangle to determine the length L of the square cross-section at…

Q: Use your calculator to find the area shown in RED. 8 f(x) = sec(.5x+2) + 2 tan(.5x + 2) +3 Round the…

A: The region is bounded by the curve,fx=sec.5x+2+2tan.5x+2+3 from x=0 to x=5

Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

A:

Q: PART C 15. Use the definition of the derivative to evaluate each limit. e2+h – e? 1 a. lim h h→0 b.…

A: Given problem:-

Q: 1. Determine the exact value(s) of k for which the planes x– 2y + kz + 7= 0 and x– 2y – 2 = 0 have…

A: Note: According to our answering guidelines we have to answer only one question if multiple…

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: sum of number is 23 let a number = x  other number is 23 - x