Using the key matrix A = decode the message: 36 50 53 76 29 34 15 22 37 64 (Note: Use 27 for space AND start numbering the alphabets from 1 to 26 starting with A) 12 2.

Q: 1 log3(r – y)*

A: Given; fx,y=1log3x-y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Identify whether the statement represents an exponential function. The value of a coin collection…

A: Rate of value increased=3.25Time=20 years

Q: 6. Find the intersection of the line I and the plane t. 1:7 = (4,–1,4)+t(5,–2,3) T: 2x+5y+z+2=0

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Q: First make a substitution and then use integration by parts to evaluate the integr= |2* cos(2*)dz…

A: Here we have to evaluate the given integral.

Q: Question Given f(x) below, find f' (x). f(x) = %3D cos (x) Provide your answer below: f'(x) =D…

A: Given query is to find the derivative.

Q: What is the quotient when 4 + 8i is divided by i3?

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Q: J sech(5x+1)tanh(5x+1)dx

A: Topic:- application of integration

Q: .et D be the region that is bounded by the surface z = x2 + y? and the plane z = 4. -) Find the…

A: Parameterize the xy plane and find limits of triple integral then evaluate the above integral.

Q: Evaluate: Poe Adh a. e O b. C. e O d.

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Q: Question #9 C16: “Find the exact value of a definite integral by interpreting it as difference in…

A: We have to solve definite integral using area.

Q: Find the area between the curves y=|x- 4 and y=-+4 . y=\x=4| 2 O 120 sq. units O 48 sq. units. 64…

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Q: 2 1 2 %3D

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Q: A chemical reaction produces hydrogen so that at time t (in seconds) the total volume of hydrogren…

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Q: Consider the vectors ā (2, 3, –1) and b = (4, –9, 6). Find the cross product of a and b

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Q: Find the derivative of the function at Po in the direction of A. g(x, y, z) = 3e* cos yz, Po(0, 0,…

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Q: Q/ Find the Surface area generated by revolving y = 1– x² around the y- ?0 < x <1 axis, where

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Q: Consider and know that the function g defined by 1 g(x, y) = cos (TX /y) + log3(x – y)* Answer the…

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Q: d*y For a certain curve =-6x +2. Find the equation of the curve if it passes through the point…

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Q: f(æ) = / t2 – 9 dt 1+ cos? (t) At what value of x does the local max of f(x) occur?

A: Given: For the local maximum value of f(x), we must have f'(x) = 0. Here,…

Q: 7. Let E be the region in R enclosed by the cone z = Va2 + y? and the paraboloid z = a2 + y?. Then…

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Q: Evaluate the following double integral and enter the value into Ans: || 7xye"vdA, R = [0,1] × [0, 3]…

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Q: In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the %3D…

A: We have to find maximum directional derivative.

Q: Given vectors in R3 (2 -1 0),(3 1 2) and ( 1 0 1). They are linearly independent. Select one: O True…

A: To find that the given vectors are linearly independent or not.

Q: 1.1 Exercises In Problems 1 Q-120, a differential equation is given along with the field or problem…

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

Q: L-1 (2s-9 Is²+2.

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Q: Find the volume of the solid that results when the region enclosed by the curves y=x², x=y² is…

A: Given:      Curves y=x2                  x=y2 Volume of solid V=∫abπfy2-gy2dy    Here fy=y…

Q: If L(ešt + cos(3t)) = As²+Bs+C (s–5)(s²+9) the value of C is

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Q: Соpy of The global minimum of f(x) = x³ – 4x over the interval -2< x<3 occurs at what value of x? O…

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Q: Siven the curve X = 2 y – y´ and the line X = 0 ind the area of the region bounded by the curve and…

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Q: Solve f (5x + 6)eª dx using Integration by Parts. Use u = 5x + 6 and v' = e".

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Q: 3"n2 is n! Zn=1 а. 1 b. 0 c. Diverge с. d. Converge d O b

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Q: Along the curve r(t) =ti-j+ť k, 0sts1, evaluate each of the following integrals a. (x-y+z)dx b.…

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Q: H-w 2x +3 dx メ+2 X X 3 X2+ 2X+1

A: Topic:- application of integration

Q: solve

A: We will solve the integral.

Q: 10.12x5 – 4.89x³ + 15.283x2 – 6.13x – 1.1 = 0

A: Concept: The false position method: The false position method (method of false position) or regular…

Q: Find the maximum, minimum and inflection points of the fur y = 3 sin 2x at [0, 1]. %3D

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Q: f(x+h)- f(x) 4x3+9x+5 Using lim0 Find the slope of the tangent line y = Зx-8 h at x = -1.

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Q: 13 the graph of f(x) The sketch 1.0 is the graph off'(x), find the interval on which f(x}is concave…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the given…

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Q: 1. The direction vector of a line is an indicator of its slope. 2. The dot product of two vectors…

A: Given some vector statements We have to mark the true/false

Q: Evoluate the limit of (1-cosx) (x²) as x pproaches 0.

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Q: EXAMPLE 3 Find the greatest and smallest values that the function f(x. y) xy takes on the ellipse…

A: Application of differentiation

Q: Sketch a 30 – 60 – 90 triangles below. Include the angle measures. The shorter leg measures 1/2 cm…

A: Sketch a 30 – 60 – 90 triangles below. Include the angle measures. The shorter leg measures 1/2 cm…

Q: C, the consumer price index, in a specific very small area, is dependent on the current value of…

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Q: The equation 3y" +12y = 3sin(4t) where y(0) = 0 , y'(0) = 0 when solved using Lapla transform,…

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Q: 3. Graph the polar equation and find the area of the region. Outside r = 1 but inside r = 2 sin 20

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Q: An emply container is filled with liquid. The height of the liquid in the container is x cm and its…

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Q: Solve the initial value problem : y +6 y +13 y=0; y(0)=2,y'\0)=0

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Q: Find the area of the region bounded by the equations y X" and y 6x- x Note: theses are conics. A) 9…

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Q: (s-20) L-1 Is²-9.

A: