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Q: Consider the following function. f(x) = 5x³+ 15x + 7 (a) Find the critical numbers of f. (Enter your…

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Q: f(x) || = ex 1 - ex

A: ddxex1-ex

Q: Concept Check: Use integration by parts to find fln(x) dx. (Hint available for u and dv?) Use…

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Q: 3. sin² 3xdx

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Q: The total spent on research and development by the federal government in the United States during…

A: Total spent on research S(t)=3.1ln(t)+22 billion dollars Total spent on in 2012    t= 12

Q: Solve the given initial value problem. dx dt dy dt : 6x + y; || - 4x + y; x(0) = 1 y(0) = 0

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Q: Find {f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) cos( +…

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Q: Horizontal Tangent There is a curve 3 y = x³ − 6x² + 12x + 5 What is the value of x where the curve…

A: Derivate y with respect to x and equate it to zero

Q: How do you get the exponent of 1.67?

A: Given solution :

Q: 1. Find the Critical values. for f(x) = x² + 4x³+4x²

A: GIVEN :fx=x4+4x3+4x2

Q: Find the cross product axb Where a = <-4₁0₁22 and 6= (-2, 5, -27. laxb-CD, Find the cross product…

A: In this question we have been given two vectors and we need to find their cross product.

Q: 100 56. Σ (3k + 4) k=1

A: Note: Since the student has mentioned to solve only question no. 56, so we are solving accordingly…

Q: INTEGRAL CALCULUS (UPVOTE WILL BE GIVEN. PLEASE

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Q: Evaluate the following integral or state that it diverges. S4e - 4x dx Select the correct choice…

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

Q: how to convert micrometer to ml and visa versa

A: To convert micrometre to milimeter

Q: Consider the ellipse foci? (x-5)² 256 + (y-7)² = 1. From any point on the ellipse, what is the sum…

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Q: Solve the equation: loge (x + 4) + loge (x + 3) = 1

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

Q: i. sin³ (r) dr dx ii. (tan(x) dx

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

Q: Make an appropriate substitution and then use integration by parts to evaluate the integral. 5x14 ex…

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Q: Concept Check: Evaluate the following integrals: e³x dx 1-2e³x 2. ·S₁ TENTIA

A: To evaluate the given integral.

Q: Find the area of the region bounded by the curve y = x² - 6x + 7 and the line x + y = 3.

A: The curves are y=x2-6x+7 and x+y=3

Q: Consider the following autonomous first-order differential equation. y' = y² + 2y 1194994 ++ + + +

A: Given differential equation y'=y2+2y

Q: [ (x² +1) cos +=dx 2

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Q: Which function is increasing? Ⓒ y = ln x O y = -lnx O y = -log₂ x ****

A: Which function is increasing?

Q: Calculate the integral of f(x, y) = 4x over the region D bounded above by y = x(2 - x) and below by…

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Q: dv 22² = 3/ dt v-1 32 a) Write the given first-order LDE in standard form. b) Solve for the general…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Question 9 Determine the derivative of the given function: y = ²2t Oy=t² (2¹) + 2(2¹) (t) Oy In 2(2)…

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Q: i am just very confused, i know all of this is correct but i dont know the basic rules of sets

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Q: Evaluate the integral x+5 x+7 dx

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Q: are

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Q: 4 Recall that the volume of a sphere is given by V = The radius of a spherical balloon is increasing…

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Q: 28. (2A + B²)4

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Q: Find the equation of the plane tangent to the surface G(x,y,z)=2x^2+y^2+3z^2=25 at P=(−3,−2,1).

A: Topic = Derivative

Q: Find the inverse transform of the given function of s. = 6s - 49 s²-85+41

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Q: What change of variables is suggested by an integral containing √x² +16? Choose the correct answer…

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Q: 25 Determine the surface of the solid formed by revolving the upper half of the circle x² + y² = p²…

A: According to bartleby guidelines for multiple question I can answer the first question. Thankyou.

Q: Find y' @ (1.1) if

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Q: Application of Derivatives (Tangent Line, Normal Line, Rate of Change)

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Q: A projectile is shot upward from the surface of Earth with an initial velocity of 113 meters per…

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Q: Find the average rate of change of f(x) = 4x² - 6 on the interval [1, a]. Your answer will be an…

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Q: 15. Find the area inside the circle r sin and outside the cardioid r = 1- cos 0.

A: Since, you have asked multiple question, as per company guidelines I will solve the first question.…

Q: 1+tan^2x/sec^2x-sinxtanx/secx-cos^2x

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Q: Use interval notation to represent the separate intervals where 2x + 5 will be non-zero:

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Q: is the triangular region with vertices (0, 0), (3, 0), (0, 2)

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Q: f(x) X 2 tan r -

A: We have to solve given Questions.

Q: In getting the derivative of a variable raised to a variable y = [f(x)](2), which of the following…

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Q: 1. Determine the equations of the tangent and normal lines at P(1,1) given x³y - 2xy² + x² - 3y + 3…

A: To determine the equations of tangent and normal to the given curve.

Q: Given the following first-order linear differential equation: dv 32 = dt V v-1. е a) Write the given…

A: Need to find out the general solution.

Q: Solve (√x+x)=√y+y Select one: O a. y (c(1+√x) + 1)² O b. y = (c(1+√x)-1)² O cy=(-c(1 + √x) + 1)² O…

A: The given equation is; [sqrt(x)+x]dy/dx=sqrt(y)+y.

Q: 4. Find the measurements of a box shipped via USPS that will maximize the volume in order to give…

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