Evaluate the following determinant by using row-operations. Carefully -1 3 4 -10 -4 A -> -4 -8 9 6 do to || -2 -6 -3 -2 2 1

Q: Find the exact interest on a loan of $7500 at 13% annually made on July 17 and due November 30.…

A: Given that we need to find the interest on a loan for following interest rate and on time.

Q: Simplify sec(arctan 1) 1

A: Please refer to the image below

Q: 1. Evaluate the given integral Q. Q ГСГ (2x − 2) dz dy dx 3x 0 2. Give the (upper, lower, lateral)…

A: We need to set up integral.

Q: The height y (in feet) of a ball thrown by a ch 1 -x² + 6x + 5 - y = 14 where is the horizontal…

A: The height of the ball is given by  y=-114x2+6x+5 in feet where x is horizontal distance from child.…

Q: John Jones just paid $3,202.50 for a lawn mower/tractor. If the percent markup based on cost is 83%,…

A: topic - percentage

Q: Express the polar coordinates (2.) as Cartesian coordinates. (√3,1) (-√3,-1) (√3,-1)

A: Topic = Geometry

Q: Evaluate the integral 2 ક્ષ ;-) Sa Say e dxdy

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Q: Find the following, using no tables for any non-basic integrals. [31evoz d Did you remember your +C?…

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Q: Evaluate the integral. (Use C for the constant of integration.) 5 [ 8x 8x √√x + c dx

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Q: 29. Verify that the piecewise-defined function 1-x², x<0 x ≥ 0 is a solution of the differential…

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Q: Q4: Let y = √r and t = x² then y(") = 0 if n=

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Q: Use the theorems to evaluate the limit. 1 lim x → ∞ x2 ||

A: We have to evaluate the limit.

Q: Consider the following integral. fx²√³+1 dx Identify the definite integral that will result after…

A: topic- indefinite integral

Q: A particle moves along a line with a velocity v(t) = -21 +5, measured in meters per second. Find the…

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Q: MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is -…

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Q: MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is -…

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

Q: Evaluate e fxds, v ds, where C is a. the straight line segment x=t, y = from (0,0) to (8,4) 2' b.…

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Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around x=5. 2

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Q: The curve C has the equation y = x³ 3x² - 24x. Find the turning point of the curve. (a) (b)…

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Q: Find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = 3t2 − 4 sin(5t) ℒ{f(t)} =

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Q: An invoice dated January 15th , in the amount of $12,500 has the following terms: 2/10, n/30.  This…

A: topic- discount calculation term 2/10 signifies if amount is paid with in 10 days,2% discount will…

Q: If lim f(z) = 2 and lim g(x) = 7, then lim[3ƒ(z) — 4g(x)] = -22 G- *-b Ⓒ True O False

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Q: 1. Evaluate the given integral Q. /9-22 Q= - 1²³ 1²/³3 (№²=³² 0 0 0 Your answer (y - x) dx dy dz

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Q: 2. [e²y - 2y ycos (xy)] dx + [2ce²y - xcos (xy) + 2y] dy = 0

A: We have to find the solution of given differential equation.

Q: S= S stozx 1 secy tan: Sinx cas 2. S

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Q: Find the volume bounded by the cylinder z=y², y=x² and the planes z=0, y=4.

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Q: For vectors and shown, drawu - 2 13 19 V

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Q: A ladder 42 feet in length rests against a vertical wall. The foot of the ladder is 7 feet from the…

A: We want to find the correct answer.

Q: Given the function F(x) = 2x 3 - 6, find the value F(-1). 10 -8 -4

A: Solution is done in step 2

Q: udv = uv J to Explain why the substitutions below are inappropriate. Let u = e 1. Suppose we apply…

A: Here, to evaluate: ∫xexdx using integration by parts.

Q: For the function f(x) = 2x², find the difference quotient ƒ(a + h) − ƒ(a) h 4a + 2h h 4 a² + h 4 a +…

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Q: (a) (i) Calculate (4 + 6i)². (ii) Hence, and without using a calculator, determine all solutions of…

A: the complex number ..

Q: dx √x² - 4x + 13 S

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Q: dr. T About OX -2 2 y=√16-1²

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Choose the values that are in the range of y = arctan x. Select all that apply. ооо оо 0 ElFlo kio…

A: We have to choose the values that are in range of arctanThe range of arctan x is -π2, π2

Q: Exponential and Logarithmic Functions 11. Use the properties of logarithms to fully expand the…

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Q: {(† - ₹)}₁_^

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Q: 4. For the below ordinary differential equation, state the order and determine if the equation is…

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Q: provide a step by step solution to the following DE (2x+3)y' = y + (2x+3)1/2 when x=-1 and y=0

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Q: Question. R is the region bounded by the functions f(x) = 3e¹ - 1 and g(x) = x² - 6. Find the area…

A: R is the region bounded by the functions fx=3ex-1 and gx=x2-6. To find the area of the region…

Q: √x² - 36 dx

A: Reduction Formula :    ∫secn(u)du =n-2n-1∫secn-2(u)du+secn-2(u) tan(u)n-1

Q: Question R is the region bounded by the functions f(x) = 1-3 sin (x) and g(x) = 3 cos (x). Find the…

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Q: Suppose f (a) g' (b) h' TU IT (5) = −5. Let g(x) = f(x) sin(x) and h(x) = cos(x). Find the…

A: SOLUTION-

Q: 1. Given the function f(x) = 20 √7-x find f (-9). "

A: The given function is: fx=207-x    ...1

Q: 9. Evaluate 18x dV where E' is the region behind the surface y = 4 - 2² that is in front of the…

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Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

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Q: Calculate √-3 + 3i. Give your answer in a + bi form. In polar form, use the angle 0 ≤0<2m a = b=…

A: Topic:- complex number algebra

Q: Determine the maximum and minimum of each function on the given interval 9 a. f(x) = x³ - 12x + 2,…

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Q: Q1) Find the following integrals } 1) S sinh2x sinhx+1 dx 1

A: To solve the given integral

Q: 48. If L = lim (cosec x)/(x, then the value of nL is - X->0* (A)1 (BY-1 (C) 0 (D) none of these

A: To evaluate: L=limx→0+ (cosec⁡x)1/ln⁡x Taking ln both sides, we will get ln L=lnlimx→0+…