Solve using Cramer's Rule. 5x + 7y= 9 7x - 5y = 6 What is the solution of the system? (Simplify your answer. Type an ordered pair, using integers or fractions.)

Q: Consider the following. Find g'(x). g'(x) = g(x): = In(x) - 1 In(x)² X In(x) Solve g '(x) = 0 for x.…

A: NOTE: Refresh your page if you can't see any equations. . the derivative of the function already…

Q: Convert the rectangular equation to polar form and sketch its graph. (x² + y²)² - 5(x² - y²) = 0

A: To convert cartesian equation to polar equation, use the substitution x = r cos(θ) and y = r sin (θ)

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = x - In (8x)…

A: interval [12,2]

Q: EXAMPLE 2 Prove the following limit. lim 5x - 6 = 14 SOLUTION 1. Preliminary analysis of the problem…

A: we need to find the value of δ such that the given limit is satisfied for any chosen ε.

Q: This is similar to a problem in the textbook. Time spent running (minutes) 0 15 30 45 60 75 Speed…

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Q: 2. Find the possible minimum value of the quantity x² + y² under the restriction y = 3x - 4. a) Set…

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Q: 3- For the following network, determine the critical path. The duration of each activity (in day) is…

A: Critical path is the longest duration to complete an activity

Q: Find the directional derivative of f(x, y, z) = in the direction from P to Q(3, 8, -2). NOTE: Enter…

A: The directional derivative of the function f in the direction of u is: Duf=∇f·uu

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: This is similar to a problem in the textbook. t (seconds) 0246 8 H+ Velocity (ft/sec) 0 481430 Shown…

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Q: (1) A tank initially contains 300 liters of brine containing 30 kg of salt. Brine with 10 kg of salt…

A: As per the guidelines we are supposed to solve only 1 question at a time, so please upload other…

Q: 1. Name the curve with the given polar equation 4 4 1+ cos 0 1 + 2 sin 0 a. r b. r = c. r = 6 2 +…

A: (a) r = 41+cosθ (b) r = 41+2sinθ (c) r = 62+sinθ

Q: Problem #3: The tangent plane of f(x,y) = 2x²y - 4xy at the point (1,1) can be expressed in the form…

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Q: ABC Daycare wants to build a fence to enclose a rectangular playground. The area of the playground…

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Q: b) c) f(x) = (4x² − 3)(x − 6) g(x)= x²+7x x+6x-1

A: To find the derivative of the following functions. (b) fx=4x2-3x-6 (c) gx=x3+7xx2+6x-1

Q: Given f(x, y) = sin(x + y) where x = stº, y = 4s - 6t. Find f(x(s, t), y(s, t)) = ft(x(s, t), y(s,…

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Q: LINEAR DIFFERENTIAL EQUATION 3 ; y ( ¹ ) = 3 1.) dy dx + 24 x

A: As per the rules we can answer the first question and rest others can be reposted, to find out the…

Q: Suppose that the equation In (3x - y) + x sin (z) = ln3 defines z as a differentiable function of…

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Q: Solve the problem. Find an upper bound for Es in estimating ㅇ O 0 옳 ww 1575 { (8x5 - 2x)dx with n =…

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Q: Solve like in samples image i given.  2. f(x)= 3x²+4x+3 Handwriting

A: To find the derivative of the function. fx=3x2+4x+3

Q: Consider the following series. n = 2 In(n) n+4 Use the Direct Comparison Test to complete the…

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Q: Q1:What is the limit of Riemann Sums as the number of rectangles (N) increases toward infinity?

A: Solution: As the number of rectangles (N) in a Riemann sum increases toward infinity, the…

Q: Resource Allocation   Podunk Institute of Technology's Math Department offers two courses: Finite…

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

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: (b) √ ecost sin 2t dt.

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Q: In a certain environment, a colony of bacteria grows according to the model A = Age0.18t, where A is…

A: given  A=A0e0.18tA0 is initial number of bacteria given A0=250

Q: Solve the following initial-value problems starting from yo = 4. dy 6t dt = A. y At what time does y…

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Q: Determine the scalar equation of a plane with normal vector n = [3,1,3] that has a y-intercept of 5.

A: Equation of plane passing through point x1,y1,z1 and normal vector A,B,C⇒Ax-x1+By-y1+Cz-z1=0

Q: Show that the lines L₁ : x = 5-t, y = 2t, z = 5+t and L₂: x = 1 + 4t, y = 3 - 8t, z = 5 - 4t are…

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Q: Which curve does it need to be label and what area are we shading in?

A: Labeled graph is given below,

Q: 2 Find the vector equation that represents the curve of intersection of the paraboloid z = 4x² + y²…

A: To find the vector equation that represents the curve of intersection  of the paraboloid z=4x2+y2…

Q: Find the First Derivative and second dervative, find the critical values and analyze critical values…

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Q: Please answer this question asap I will rate you for sure.   y=4\sqrt(x); x=1, x=4 a. Find an…

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Q: Differentiate the following functions using the power rule. Use positive exponents in each final…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: F 13-12-11-10-9-8-7-6-5-4-3-2 A 11 10 9 8 7 65 4 3 21 1 -10 -2 -3 -4 -6 -7 -8 -9 -10 -11 -12 1 2 3 4…

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Q: Find the value or values of c that satisfy the equation the given function and interval. C= f(x) =…

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Q: Find the absolute and local maximum and minimum values of f(2)=3e2 +5. If there are multiple points…

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

A: 3x2 + xy + y2 - 37 = 0 for this question, we used the concept of implicit differentiation

Q: 1. A wrench is used to twist a bolt. A force of 60 N is applied in a clockwise direction at 80° to…

A: Torque is the measure of the force that can cause an object to rotate about an axis.

Q: x² + y² − 2x + 2y + 1 = 0 b. G

A:

Q: 1. a) b) c) (x+6)(x-5) (x-2)² (x+3) The derivative of f(x), is f'(x) (line method or chart),…

A: f'x=x+6x-5x-22x+3

Q: Find the following limit. lim <5t²5t + 2, t→7 answer=< t² - 4t - 21 t-7 2. cos(t) V

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Q: What is lim 5 + X 2 x→+∞ ex-1 -?

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Q: Sketch the curve of the given function analyzing the following. 2 -12x-4 y 1) Find all the…

A: y=fx=-12x2-4x3 Note:- Since you asked multiple subparts ,according to our policy we can solve first…

Q: Use l'Hôpital's rule to find the following limit. lim (In 6x- In (x + +5)) X→∞

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Q: 2. Let f(x) = 3x55x³ + 1. (a) Find the intervals on which the graph of f is increasing, decreasing,…

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Q: The following limit represents f'(a) for some function f and some value a. a. Find the simplest…

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Q: The diagram shown is a regular hexagon. Please label it as ABCDEF. Write each of the following as a…

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

A: Differentiation w.r.t x

Q: For what values of a, m, and b does the function f(x) satisfy the hypotheses of the mean value…

A: f(x)=-5  ,  x=0-x2+x+a,  0&lt;x&lt;1given f(x) satisfy hypothesees of mean value theorem there for…