2x + 3 x² + 2x + 4

Q: a3z a3z 5. For z = x?siny show that дудхду ay²əx

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Use Integration by Algebraic Substitution 3 dx x +1

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Q: A particle moves along a straight line with its position given by s(t) = -5t2 + 7t + 2. Find its…

A: In this question, we want to find the average velocity between t=1 and t=3.

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: topic- slope of the tangent line at given value of x

Q: The function s(t) describes the motion of a partide along a line. s(t) = 12t – 2 (a) Find the…

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Q: Find the mass of a plate bounded by one arch of the curve y = sin x, and the x-axis, if the density…

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Q: Solve y' = y3 cos x (Show clear work!)

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a 8 Prove that…

A: use the definition of limit to simplify it

Q: Write an equation for the polynomial graphed below 5+ 4+ 3- -2- -3 -4 -5+ y(x) %3D 2)

A: topic- polynomials

Q: x + y - 18x + 10y+ 90 = 0 is the equation of a circle with center (h, k) and radius r for: h = and.…

A: topic- center and radius of circle general equation of circle with center (h,k) and radius…

Q: Evaluate the following integral: where Q is the region limited by: Q ={F (x,Y, z): 2<x= 3,0 <y<1, -…

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Q: 1. Raul has a wall 4 units long and 2 units wide in the Cartesian plane centered on the origin. On…

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Q: 1. If sin 0 =, and 0 is in QI, find sec 0. 2. Given cos e = .e is in QIV, find csc 0. 3

A: We have to find out the trigonometric ratios

Q: 7) Assume that the temperature of a person during an illness is given by: 5t T(t) : + 98.6, t2 +1

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Q: (hen? + h? eh* ) di

A: The integration of the integral is  (heh^2+h2eh^3).

Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, C = 6 (x – 6)²…

A: We have to find out the polynomial

Q: find all numbers c that satisfy the conclusion of mean value theorem for the function f(x) = 2x^2+1…

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Q: B) dy = 8xex2. 9) y = e4x² + x A) dy = 8xe2x + 1 dx B) dy = 8xex2 + 1 %3| C) dy = 8xe + 1 D) dy -…

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Q: Is the function continuous on the interval 0, 27? 1+(sin z)? O yes O no cannot be determined

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Q: Evaluate the following limit. 9. 5 +h lim h 0 Rewrite the given limit in a way that can be evaluated…

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Q: Q5: Solve the following differential eauation using Laplace transform 2. y' = y1 + 3y2, y = 4y, –…

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

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

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Q: Question Ris the region bounded by the functions f(x) = xr - 8x + 7 and g(x) = 5x- 33. Find the area…

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Q: Given the vectors v and ü, answ v= 10i + 2j - 11k u=7i+24j a. Find the dot product of v and u. Find…

A: calculation of above requirement are as follows

Q: integration by parts

A: Integration by parts (3). ∫sinx lncosx dx

Q: 17. If you knowf (0) = 625 and f(4) = 16 then: (a) Find a formula for f(x) assuming that it is…

A: In this question, we want to find a linear function f(x) which satisfy the given conditions.

Q: Solve fo x: 3csc(x) + 2=0

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Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: Use calculus to sketch the graph of the given function. (c) f(x) = 3 – (x +1)³ |

A: The given function,     fx=3-x+13

Q: The count in a bacteria culture was 600 after 20 minutes and 1500 after 35 minutes. Assuming the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the derivative of the function. y = x2(8x2 - 9x) y' =

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Q: he velocity function is v(t)=−t2+4t−3 for a particle moving along a line. Find the displacement and…

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Q: Sove a lake, sere hft) represents the height above the water, in feet, at t seconds. a) Determine…

A: Topic:- application of derivatives

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x cos y…

A: Solution is 318 or 0.09622

Q: dy Use implicit differentiation to find for y' dx +2xy – x' = cos3y

A: Given:         y3+2xy-x5=cos3y Implicit differentiation:    differentiating on both sides with…

Q: Describe the transformations of the graph of y=vx to obtain the graphs of the following functions.…

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Q: 8 What is the range of y=4sin A [-2,6] B [-6, -2] © [-6, 2] D [2, 6]

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Q: Find the area bounded by: y=x³+ 1 and y=x+ 1.

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Q: x (t) = 4 sin t ly (t) = 4 cos t %3D

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Q: Evaluate the integral: 1. - 1 (1- 5x + x³ – 2x5 5х + x3 — 2x5 dx x2 2. S(y³ – 3,/y+ Vy) dy

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Q: Learning Task 1. Do this indicated task individually. 1. Find the equation of the tangent line to…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: The general solution of (D²+2D+1)(D²+4)y=0 @ -+Ceª A y=(C,+Cx)e*+C;e B none of the given choices ©…

A: We have to find out the solutions

Q: Activity 2 Read and analyze the problems carefully and do as required. 1. Starting from the same…

A: dr/dt=60 cm/s And dn/dt=80 cm/s.

Q: Find a vector that is perpendicular to the given vectors. 3) i = (-5, 6, 7) v = 1, -9, 0) 4) RS and…

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Q: 11. Given the functions: g(x) = tn(4 – x) and h(x) = 4 – x² find and simplify the following: (a) h(x…

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Q: Part 1: A derivative computation using the chain rule Suppose F(x) is a differentiable function for…

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Q: 2. a“y dx2 dy + 42+ 3y = sin(x) + 2 cos(x) dx

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

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Q: 16. If r'(t) is the rate at which a water tank is filled, in liters per minute, what does the…

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