olve the following exponential equation algebraically. 3(2-1) = 215 press you answer to the nearest hundredth.

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

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Q: 1. Evaluate the integrals below. 5x²-x +3 (a) J x³ + x (b) [√v √√√x – 1 dx dx

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Q: Find all roots of the polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs,…

A: Concept: Descartes's rule of signs: The number of positive (or negative) real roots and the number…

Q: 7. What is the correct expression to find the 8th term in the 12th row of Pascal's Triangle? A. 1C₂…

A: Option (B)

Q: The differential equation y"(1-x)+xy'=y is linear homogeneous O non linear homogeneous linear…

A: We have to choose correct option

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Q: Find the partial derivatives of the following functions = f(x, y) = cos(x² - 2xy+3y²) b) fx = fy=

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Q: The following statements are true EXCEPT A. Sa f(x) = 0 B. fk f(x) dx = k f f(x) dx for any real…

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Q: + + 1.3 3.5 5.7 + .. + ……. (2n-1)(2n+1)

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Q: Use the formula for the binomial series: (1 + x) = 1 + mx + 1 + 2 =1 100 = o obtain the Maclaurin…

A: See the details solution in below

Q: Express the area in terms of integration. A. 1² (y + ²) dy B. L²(y + 2) dy C.S (y + 2) dy D. ³₁(y +…

A: Let's find area in integration term.

Q: Find the maximum value of the function y = on the interval 1<x< 4. In x Approx. 2.79 Approx. 2.89…

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Q: Find the limits in a) through c) below for the function f(x) = 2 X-X-42 Use X-7 a) Select the…

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Q: 2. y (0) = Find the solution to the differential equation below satisfying the condition -2. x…

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Q: f(x.y) =e^sin(y) + In(xy) ; әз of Әхд-у

A: See the answer below

Q: A tank contains 80 gallons (gal) of pure water. A brine solution with 2lb/gal of salt enters at 2…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Q.2 Find the derivative at each critical point and determine the local extreme value. (a) y=x√√4x² 1…

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Q: A triangular prism has a base which is an isosceles right triangle. If the volume of the prism is…

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Q: Given the matrices A: = [1-4] 0 21. B=( )-C-1) ₁ [1 -5 5 and C= the matrix X in the equation AX + 5B…

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Q: Which graph could be used to find the solution(s) to the system of equations y = log₂(x + 2) and…

A: The system of equations y=log2x+2 and y=x3-2x2-5x+6

Q: Determine an equation for the tangent to each function at the point with the given x-coordinate. 77…

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Q: Determine the equation of the tangent to y 23.03x+y+13.03=0 23.03x-y-13.03=0 O-23.03x+y+13.03-0 None…

A: Solution ) y = 10x Differentiation with respect to x  dy/dx = (ln10) 10x [ Formula d/dx ax = ln a…

Q: The graph below is the function f(x) 2 -5 -4 -3 -2 -1 2 B 4 -3 4 -5+1 Find lim x 2 Find lim 2 2 Find…

A: from graph limx→2- f(x) =-3

Q: What is the order of (y")^3 + 2(y)^5 = 7 · 2 0 1 O 3 O 5

A:

Q: Given f(x, y) = 6x6 - 6x²y³ - 5y³, find fz(x, y) = fy(x, y) = fiz(x, y) = fay(x, y) =

A: Solution

Q: Pre-Calculus  :  if x=2x=2 is a solution to the equation x^3-4x^2-31x+70 = 0x3−4x2−31x+70=0, find…

A: We have to find out solutions

Q: y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

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Q: The graph of one complete period of a sine curve is given. y 1 4 4 -3 7814 X

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Q: 9. Itan tan-¹ √u √u du

A: Given∫tan-1udu

Q: (a.) f(x) = x³on [0,1] (b.) f(x)=sin sin x on [0, -1]

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Q: Find an example of a subring of Z[x] which is not an ideal of Z[x].

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Q: Calculate the following limit: lim (x,y) →(-1,1) 3y² + 3xy - x - y x³ + y³

A: Given, limx, y→-1, 13x2+3xy-x-yx3+y3

Q: 4. Classify the following differential equations according to whether they are linear or nonlinear.…

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Q: Please solve the last 2 parts as well please from the above equation

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

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Q: When the expression log, (47) - log, (3), b > 1, is written in the form log, a, the value of a, to…

A: We need to find a.

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A: We can solve as follows

Q: The logarithmic equation 2 log c = b, where a > 1, expressed in exponential form could be Oa² = bc…

A: Given

Q: g(x) = 2x √1+3x

A: SOLUTION-

Q: 11. Describe as many equivalent conditions as possible for a given vector field F is a conservative…

A: Given : F→ is conservative.

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Q: 4. Let (x) - 6x² + 13x+7 3x + 2 What is the equation of the oblique asymptote of f(x)? From what…

A: Solution

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  3. y = c1x + c2/x

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Q: ху 2x — 9 = 0; x = -3 =

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Q: The equation (y-x)=x(dy/dx) is Bernouli (y^n> 1) O linear in x O Homogenous O variable separable

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Q: Find AB using the following matrices: 7 8 1 2 3 A= B= 9 10 4 5 6 11 12

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Q: 2x+1(4x²_5)³ 3 y = e

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