dv dt Find given ure, z=t", and y=-2+3t. Write answer in terms of the independent variable. = du dt

Q: Q4.5 If f(x)= e2x O e²x - √xe² e4x 1 4e²√√x 4√xе²x then f'(x) = x 1/2e2x -x 2e4x O 1 - 4x 2e2x √√√x…

A: Need to find out the derivative of the given function.

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Q: a) y ' — 2xy = x b) y' + sin(x)y=sin(x)

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Q: Find the values of c which satisfy the conclusion of the Mean Value Theorem on the given interval,…

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Q: sketch graph of y=e^x/x^2-9 showing any asymtotes and any local maxima or minima

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Q: Sketch the region that corresponds to the given inequalities. 3x - 2y = 0 x-8y ≤ 0 x = 0, y = 0 O y…

A: The given inequalities are: 3x-2y≥0x-8y≤0x≥0y≥0

Q: A company produces a spherical object of radius 21 centimeters. A hole of radius 3 centimeters is…

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Q: Consider the following vector function. r(t) = ( 4t, 21/1², 1²) (a) Find the unit tangent and unit…

A: Here we have r(t)=4t, 12t2, t2 We have to find  unit tangent and unit normal vectors T(t) and N(t).…

Q: Evaluate the limit lim t-0 os(t) i + 1 - cos(t) t 3 12² ³ 5 ³ + e³¹²7) -

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Q: Write the equation of the tangent line to f(x) at point (2,8). B. Write an expression for f(x) in…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

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A: (c) from the given definition of N(t) we have  N(t)=750/(1+14^e−0.4t),  Now differentiate with…

Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the…

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Q: Let g(w) (a) Find g '(w) W = = Ow= a Ow= O (b) Find the w-coordinate of the critical point of g(w).…

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Q: [cos* xdx

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Q: Find a formula for the linear function depicted in the following graph. 10 -5 5 -5 -10 Enable…

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Q: Use an algebraic method to eliminate the parameter and identify the graph of the parametric curve. x…

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Q: Find the distance from the point Q = (-3, 4, 5) to the plane -5x - 5y - 3x = 9.

A: We will find the required.

Q: Evaluate the following integral. Stan(4x) sec (4x) dx

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Q: 9.2.1: Rate of growth. 198.qx3zqy7 Jump to level 1 Order the functions by growth rate. a(x) = 90*…

A: Given   Order the functions by growth rate. a(x)=90^(x) + 90x b(x) = x log₂(x) + 30x! c(x)= ln(x) +…

Q: For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t.…

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Q: I would like to ask why the ranges of the angles here are flipped when compared to the one in class,…

A: The answer is in step 2. What ever you mentioned is correct I am providing the solution in step 2.

Q: f(x)=3excos(x)-cos(x)/x I need to obtain the derivative of this ecuation

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Q: Find the total differential of the function y = f(x,z(w)) · g(w,x).

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Q: Verify that Rolle's Theorem can be applied to the function f(x)=z³ - 11z²+36 - 36 on the interval…

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Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A: Let radius of cone =r feet Let height of cone =h feet

Q: 51. y = e-* cos x, [- , ] 3]

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Q: Suppose that the cost function for a product is given by C(x)=0.002x³ +9x +7,443. Find the…

A: Given, C(x)=0.002x3+9x+7443

Q: If g(x) = x² + 8x with x ≥-4, find g-¹(9).

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Q: Find the derivative of the following functions using the definition of the derivative 1. f(x)= 4x -…

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Q: Use an algebraic method to find the angle between the vectors. Use a calculator to approximate exact…

A: We need to find the angle between vector u= -12, -5, and v= -1, 5

Q: 4 S² x² dx

A: We have given  that f(x)=x2, a=0, b=4, and n=8

Q: Determine all equilibrium solutions and classify as stable, semi-stable, or unstable. dx -= x²(x² -…

A: Option (d) is your correct option for detail....go through the solution

Q: Consider the function ₁ (t): = t and suppose the Wronskian of x₁ (t) and some unknown function 2 (t)…

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Q: In Exercises 35-40 use the root test to analyze whether the given series converges or diverges. If…

A: The given series is:∑k=1∞ 5kk24k+1

Q: Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and…

A: NOTE: Refresh your page if you can't see any equations. . x=number of quarts of creamy vanilla…

Q: Let H(t) be the cost of heating a building in dollars per hour when the outside temperature is t…

A: Given that Ht be the cost of heating a building in dollars per hour when the outside temperature is…

Q: (c) Now find the exact values of a and b that satisfy the conditions in part (a).

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Q: 3. Determine the curvature and radius of curvature of y = 6x-x³ at (1,5). a. 0.18973; 5.2704 b.…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: f(x) = -3 sin T2 - 2bx² x -2 x 3x² + e²

A: Please see the below picture for detailed solution.

Q: 2. Determine à b, if |a| = 5 and || = 6.

A: concept dot product formula a→.b→ = | a || b |cosθθ = angle between a and b

Q: Using the method of undermined coefficient, find the yc and yp of the following DE y" - 3y + 2y =…

A: Given :

Q: D Question 5 D The table gives selected values of the continuous function f. 7 8 9 10 f(z) -11 -10…

A: Note: The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b]…

Q: Consider the function f(x) = 4x³ - 3x on the interval [-5, 5]. A) Find the average or mean slope of…

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Q: Suppose we know that F'(x) = x cot (x). Simplify [ 2³ cot (2¹³) dr by expressing this integral in…

A: as per company guidelines we can solve only first question when multiplie question being posted

Q: Evaluate the limit lim t-0 ((² (+5) từ ý t Enter your answer in i, j, k form. In(t + 5) t-3 Submit…

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Q: Use the first derivative test to find the location of all local extrema for the function given…

A: Given function f( x ) = -8x65 + 4x25

Q: The linear approximation at z = 0 to sin(92) is A + B where A is: and where B is: Question Help:…

A: Topic =Derivative

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Q: Suppose s(t) = 9 In(+1) is the position of an object measured in centimeters at t seconds. (a) Find…

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