If A = 3ai +4j-k and B=4i+j-3k, find the value of a if A normal to B.

Q: (CLO-1) Find the values of a and b such that the following function if x 1. X-1 D=

A: Topic:- application of calculus

Q: 1) lim x + 5 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

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Q: 12.) Use the laws of logarithms to combine: 1 2 log x log(x² + 1) - 2

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Q: A Moving to another question will save this response. Question 11 {CLO-1} Find the values of a and b…

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

A: Question- Assuming that the equation below defines y as a differentiable function of x, find the…

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: (-2, 39) 4 10 10 20 10 10 -20 30 40 1 (14) (27) 3 B. Locate and classify the critical point of y =…

A: The equation of the curve is given by , y=23x3-2x2-6x+2Now, We will apply the second derivative test…

Q: n³r" Find the radius of convergence for the series 1 3⁰ OR= =/3 OR=1 OR=3 OR=1/ R = ∞

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: Which of the following statements about the graph of f(x) = (2.25) shown above are true? Select all…

A: Given graph of f(x)=(2.25)x

Q: Sketch the graph of the piecewise defined function: f(x) = 2, x ≤ −1          x − 1, x > −1

A: Given  f(x) = {2,   x≤-1              x-1, x>-1}

Q: 2. Evaluate the integrals. (a) S (b) [9rc (c) J (d) O 1+ e²r 9x cot(x²)dx -do -dx cos sin² 0 +1 -dx…

A: As per the guidelines we can solve 3 parts only

Q: Problem #10] A kite 100 ft above the ground is being blown away from the person holding its string…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y)=-3xy + 5y², P₁(-10,2),…

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Q: 4x²8x + 5 on the interval [0, 5] by comparing values at the Find the minimum and maximum values of…

A: topic- application of derivatives

Q: Consider the functions z= - ex In y, x = In (u cos v), and y = u sin v. dz əz (a) Express and as…

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Q: The critical number(s), if any, of the function f(x) = (x²-3x+2) is (are):

A: critical points of fx=x2-3x+2-13

Q: Consider the function 2r²-9r-18 f(r) r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of the…

A: Here we have to find the area under the curve

Q: 2. f(x) = x³ senx cos x

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

A: The given problem is solved below in detail.

Q: Consider the initial-value problem y' = 8x³y, y (2) = 5 Solve the initial-value problem to find the…

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Q: 2. Find the eigenvalues and eigenvectors of A = 2 1 0 1 2 1 1 2,

A: Given

Q: [CLO-2] Find the derivative of f (x) = x −x5 e 2x + 3 1-5x4 x-x5 x-5x5 2/x −x5 1-5x4 Vx-x5 −5x4…

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Q: 2. Error Analysis. Please complete the following parts in sequential order. a. Solve 2 log4(x-3) +…

A: The given problem is solved below in detail.

Q: calculator. Use this graph of function f. y at X = O conly. Od only. Oc and d only. O a, b, c, and…

A: Topic:- function

Q: This question is designed to be answered without a calculator. Use this graph of function f. y 5+ in…

A: Here, from the given graph the function is continuous at x=0,2,4 but not continuous at x=-2 because…

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: Determine the limit of the sequence or state that the sequence diverges. 6 an = 1- n² (Use symbolic…

A: topic- limits

Q: O f(3x² + sec² 2x) dx

A: Given query is to find integral.

Q: Find the extrema of each given function on a specified closed interval. 1.) g (x)= x³ - (3/2)x²,…

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Q: dx 9-x

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Q: 1. Find the general indefinite integral. 5e + 3 sin x dx (b) ["be²

A: We have to solve this given integral . For this first we solve the general indefinite integral &…

Q: 2. a) Write sin(3-1) in the form of a + bi. b) Find all the values of (3)-in

A: Concept: Simplifying expressions: Expressions are mathematical statements with at least two terms…

Q: T Find the linearization L(x,y) of the function f(x,y) = ex cos (5y) at the points (0,0) and 0, The…

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Q: Find a formula bn for the n-th term of the following sequence. Assume the series begins at n = 1.…

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Q: Find the Area under a curve y = 4-x² from x = -3 to x = 3

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Q: • Evaluate the following integrals: Convert this Cartesian equation (x² + y²)²_9(x² - y²) = 0 to…

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Q: (2x - 2 x² - x f(x) = x² 4 graphing calcu x 2 x = 2

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Q: (CLO-3) Find the area of the largest rectangle that can be inscribed in the region enclosed by the…

A: solution:-y=x2-2y=-x2+2let two value of x is -t & t , because the graph is symmetrical about…

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y² - 4y +6 on the closed…

A: Solution: f(x,y)=2x2-4x+y2-4y+6 the vertices of the triangle by joining the given lines are (0,0)…

Q: Syy-mat sama dy ³

A: Follow the procedure given below.

Q: Find the exact values of inverse trigonometric expressions for Parts a to c in radians. Sketch the…

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Q: Solve the applied minimum and maximum problems. Make sure to sketch figures to illustrate the…

A: Use minimizing concept

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A: Please refer to the image below

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

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Q: 1 = and find x 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let…

A: This is a problem related to derivative of the function. Based on the general formula of linear…

Q: dy : y4 — e²xy³ = 2 sin(x + 3y). dx cos(x+3y) + y²e2xy³ 2y³ +3[cos(x+3y) + xy²e²xy3] cos(x+3y) +…

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Q: You made a mistake in the calculation. The final answer is 31,972.5. But thanks for the process.

A: Silly mistake in calculation, we provide correct calculations

Q: Estimate sinx² dx with an error of less than 0.001.

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Q: (CLO-1] The graphs of functions f and g are given below. अ y = f (x) 4 1 -2-4 -2 -3 4 Evaluate the…

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Q: (CLO-3) Find the absolute maximum value of the function f(x)=x³-12x+3 on the closed interval [-4,3].

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