(5x – 6) (2а — 5) (ӕ — 3) 5х — 6 - Let f(x) = 2x2 11x + 15 - - 1) The domain in interval notation is 2) The y intercept is the point 3) The x intercepts is/are the point(s)

Q: 6. Find the critical point(s) of f(x) = -9+ x². Use the Second Derivative Test to determine if the…

A: 6)f(x)=-9+x2Diifferentiatef'(x)=2xFor critical points f'(x)=02x=0x=0Substitute x=0 in…

Q: Let f(x) = Vx. Find the equation of the tangent line to f(x) at a = 49 %3D Using this, we find our…

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Q: 1. In the differential equation (r+2y-1)dx+(2x+4y-3)dy 0, we let the substitution %3D

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Q: yA (b) Economists study two functions: R(1) and C(r) which are the revenue and cost when r units of…

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Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

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Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t=0 T(0) = N(0)

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: Find the curvature K of the curve, where s is the arc length parameter. r(s) = (5 + s)i + j K =

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Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (4, -3, 5), v = (0, 6, 4) (a) u: V (b) u.u (c)…

A: I am attaching image so that you understand each and every step.

Q: Plot the following functions over the defined domain. Range is at all values of y 1 b. f(x) = xe-*,…

A: x f(x) -1 -e 0 0 1 1/e 2 2/e2 3 3/e3 4 4/e4 5 5/e5     x g(x) -1 -1/2 0…

Q: Consider the following. u = (-2, 5, 4) v = (0, 1, 7) %3D Find u x v. Determine if u x v is…

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Q: Given that f(x, y) = 8x-2x² - y² +8y with the constraint g(x,y): 2x+y=5. Determine the optimum value…

A: Solution is given below:

Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i +2 sin(t)j+ tk; t= TE) N || ||

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 6, Vf(4, 2) = eBook

A: A detailed solution is given below

Q: Find u · v, u· u, ||v||², (u · v)v, and u · (3v). u = (3, -2, 5), v = (0, 7, 4) (a) u. v (b) u.u (c)…

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

Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

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Q: Let f be a continuous function. Show that 2022 f(1/a) dx f(x) dz. %3D 1/2022

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Q: 2. The amount of protein in the bloodstream (mg/L) is given below for 30 patients: 1.4 1.8 1.8 1.9…

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Q: Find the volume of the solid generated if the region bounded by the parabola y2 = 4px (p > 0) and…

A: Given

Q: (a) Find the area of the region bounded below by the curve y = r² and above by the line y = 4 (b)…

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 5 cos(t)i + 4 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Here is the solution

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Q: Solve the differential equations using the substitution suggested by the equation. (2x + y)dx -3(2x…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: From the given graph, the volume V is given by:V=2∫02π4-x22dx

Q: Find the y-intercept and x-intercept of the linear inequalities then graph the system. 1.2х + 3у >…

A: I am attaching image so that you understand each and every step.

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: 8. Find the critical point(s) of f(x) = -5x² – x + 4. Use the First Derivative Test to locate the…

A: The given function,  f(x)=-5x2-x+4

Q: The following figure shows the graphs of y = f(x) and y = g(x), together with %3D %3D the indicated…

A: Given problem:-

Q: Find the area of the shaded region. r = Vcos 20 r = 10 cos e NOTE: Enter the ezact answer. A =

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Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: ꭍkg(x)dx=___ where k is a constant * a.(k/2)ꭍg(x)dx b. ꭍg(x) c. kꭍg(x)dx d.1

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Q: x2 Find the length of arc of the curve y = 4 Inx from x 1.5 to x = 2.

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Q: If o an is convergente then o nan is divergente Select one: O True O False

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Q: sin t = (eit – e-i#)

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Q: Solve the following dy 1. xy dx = 2y2 - x2 %3D | dy 2. x2 dx xy = (x² + y²) tan-() (x + y2) tan-1 dy…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The first term of the expansion of (j – 3n)a is –-3nª. True or False?

A: The \displaystyle \left(r+1\right)\text{th}(r+1)th term of the binomial expansion of \displaystyle…

Q: 9y" + 6y' + y = 0, y(0) = -1, y' (0) = 2.

A: THE SOLUTION IS GIVEN

Q: Solve the problem. Given the velocity and initial position of a body moving along a coordinate line…

A: We can solve the given problem as follows:

Q: 2X

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Q: Let f be a continuous function. Show that 2022 f(VE) de f(z) dz. /2022

A: Here, to rewrite the given integral: I=∫12022-f(x)2xdx...(1)

Q: Prove the following function T : R3 → R³ defined by T(x, y, z) = (2x – y, y – 2, x + 2) is a linear…

A: Explanation of the answer is as follows

Q: If f(x) and g(x) are continuous functions, then s Ldx 4. Lf(x)dx Sø(x)dx° g(x) 5. Sdx = In]x| +C and…

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Q: Find the gradient of the function at the given point. W = x tan(y + z), (3, 7, -3) Vw(3, 7, -3) =…

A: Given;  w=x tan(y+z), (3,7,-3).

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) 2…

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Q: 6n+5 is Ln=1 5n+1 Determine whether the series convergente or divergente.

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Q: Evaluate: Σ 1°e(2+x)i+2x

A: The given expression is: ∑i=0∞1i!xi1ee2+xi+2x. We will use the fact: 1e=1 to simplify it. So it…

Q: 7. x Arcsec (2x) dx (4x2 – 1)7

A: This is a problem related to integration. Based on the general formula and partial fraction concept…

Q: 8. - Evaluate | 1 dx 1+x а. d. none of the choices b. 1/ 2 е. -co с. f.

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: Given :r(t)=F(t)+G(t), where F(t)=costi - sin tj +6tkG(t)=2 costi + sin tjTo find : The domain of…

Q: A spring has a normal length of 10 inches. It has also been determined that its spring constant is…

A: Given that a spring has a normal length of 10 inches. It has also been determined that its spring…