f(x) = 5x + 2

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A: Let's solve.

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A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: 3 2 3 0 Given the matrices A = B = 3 -1 5 for the matrix X in the equation XA + 3B = C. and C Го…

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Q: A. Consider the plane with direction vectors à = (8,-5,4) and b = (1,-3,-2) through P(3,7,0). 1.…

A: We need to solve plane problem.

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Q: Graph the function. f(x) = √√x+5 Plot four points on the graph of the function: the leftmost point…

A: Given problem:- f(x)=√x + 5

Q: If f(x) = x2 and g(x) = x − 3, find the composite functions f ○ g and g ○ f. You must show ALL…

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Q: Determine the absolute extrema of the function f(x) = (x-3)e* on the interval -2 ≤x≤1.

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Graph the function. Plot five points on the graph of the function: one point with x = 0, two points…

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Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

A: Solution

Q: Use the Factor Theorem to determine whether x+1 is a factor of P(x)= 2x4 +2x3 -6x2 +6…

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Q: 2. (3x² - 2x + 1)dx Step 1: Find F(x) by integrating the function Step 2: Apply FTOC Step 3:…

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Q: Example (2): Find area shown in the figure bounded by (y = x²), (y = -x) and (x = 1).

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Q: (1) 3. a) In how many ways can the letters in the word DISCOVER be arranged if there are no…

A: Let's solve.

Q: xsin (y) + ycos(x) = 1

A: To find the derivatives of the given functions.

Q: ii. Given g(x) = √x²+5 if x<-2 3-3x if x2-2

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Q: Express the function in the form fogo h. (Use non-identity functions for f, g, and h.) H(x) =tan(√x)…

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Q: Determine whether the series converges. O The series diverges. O The series converges. Σ k In(k + 4)

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: x³dx S 17. √(1-x²

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Q: Determine whether the series converges. Σk³ e-k4 k=1 The series >

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Q: Question A university projects that enrollments ale decline as the pool for begins to going to…

A: Given data :- The expression for the given fiunction a=f(t)=7500-380t Where a= number of…

Q: Determine the maximum and minimum values of the function f(x)=cos³x on the interval x10,2x). Max…

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Q: 6. 7. 8. (ex + e + x) dx 24t dt [2(5x) dx

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Q: Solve the differential equation. 12. ( r + sin θ – cos θ) dr + r ( sin θ + cos θ) dθ = 0

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Q: Graph the function. f(x) = -x²+2 Plot five points on the graph of the function: one point with x =…

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Q: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4); y(2)=4 Use 2 decimal places

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Q: Initially, there are 250 bacteria and after seven hours, 800 bacteria are observed in the culture.…

A: This is a problem related to differential equation. Based on the growth law we will answer the…

Q: Volume of Solid of Revolution Submit a pdf file of your handwritten solutions to the problem.…

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Q: 13 Given the matrices A = - B 1 -1 3 4 the matrix X in the equation A (X + 3B) = C. X = 2 and C= -3…

A: A=111-1, B=1334 and C=-3032

Q: Q.1.A: Find the domain and range of each function (choose only two) 3. G(t) = 6 1. F(x) = 1-√√x 2.…

A: Here we have to find the domain and range of the function

Q: Q2 (a) Sketch the following function of period 27. f(x)= |x| (-1 ≤ x <n) f(x + 2x) = f(x) (b)…

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Q: For vectors ?⃗ = ⟨2, −3, −2⟩, ? = ⟨1, −4, 2⟩ Find the projection of vector ?⃗ onto the vector ?.

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Q: For the regions A and B shown in the graph: Part A: Discuss the limits of integration. Part B: Set…

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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: Q:4) Use Green theorem and evaluate the line integral ${Mdx + Ndy} Where M(x,y)=y², N(x,y)=x², C is…

A: See the details solution in below

Q: f(x) = 4e³x9e²x

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Q: The curvature x(s) of C is defined as the magnitude of the rate of change of the unit tangent with…

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Q: Find the derivative of the function. 36 9 h(x) = 27x² 9 X

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Q: 2 3 1. Determine the derivative to y² = x³ + y² + 2xy

A: Given problem:- Determine the derivative to y2 = x3 + y3 + 2xy

Q: 02:- a. b. Let u=x²-2xy + 2y³ with x = s² lnt and y = 2st³. Find ou/Os and du/ît. find the total…

A: In this question, we want to find the partial derivatives and total derivatives of the given…

Q: A tank of capacity 300 liters originally contains 80 litres of brine with 1/8 kg of salt. A mixture…

A: Given data :-  Capacity of tank = 300 liters Rate of mixture poured into tank =4 L/min Rate of…

Q: Given the function z = f(x,y) = x²y + 2y² + 4xy-2, find the following: a) Find all of its critical…

A: Here, we need to find the critical points.

Q: Find the absolute maximum and absolute minimum values of z€

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: Solve the following initial value problems. (a) 2ut + ur= -2u, z,te R, t> 0; u(x, t) = f(x, t) on…

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Q: A boat leaves a dock at noon and heads west at a speed of 25 km/h. Another boat heads north at 20…

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