Find the equation of the line through (12, 11) such that the triangle bounded by this line and the axes in the first quadrant has the minimal area.

Q: A: Tan Latitude / Tan P A = Tan 04° 30'/ Tan 77° 50.3' A= 0.016960 803 S CA named opposite to…

A: Given Data:Compass Azimuth (measured): 145.0 degreesTrue Azimuth (calculated): 143.6 degreesCompass…

Q: Please refer below

A: Step 1: Step 2: Step 3: Here the graph of the function.

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A: if doubt arises please mention in the comments.

Q: 18. Using the method of variation of parameter, a particular solution to y′′ + 16y = 4 sec(4t)…

A: Step 1:Step 2:Step 3:Step 4:Compare with yp​(t)=u1​(t)cos(4t)+u2​(t)sin(4t)u2​(t)=g(t)=t

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Q: 4.3 The Chain Rule 1. {Algebra review} Let f(x)=2x²-5 x and g(x)=6x+2. Find f[g(−5)]. 2. {Algebra…

A: 1. Find f[g(-5)]  We are given the functions: ∙ f(x)=2x2−5x∙ g(x)=6x+2 Step 1: Compute g(-5)…

Q: Help me with step by step solution and accurate answer as soon as possible pls

A: We solve this problem as follows:  Step 1: Define f(x)=3x​Since the derivative of xn is nxn-1, the…

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A: Identified points from the graph: 1. First segment: Points: (−6, −3), (-4, 0), (-2, 3) 2. Second…

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A: Step 1: Step 2: Step 3: Step 4:

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A: Let's solve the problem step by step.Given the equation of motion: s=t3−6t2+9 Step 1: Find velocity…

Q: x-4 For the function f(x): find f'(x), the third derivative of f, and f(4) (x), the fourth…

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Q: Explain how to solve all solutions of y"(x)+ay'(x)+by(x)=0 when the Characteristic Equation…

A: The characteristic equation of the second-order linear differential equation y''(x) + ay'(x) + by(x)…

Q: 3. Given the function h(x)=(x²+x-12 if x≤1 3-x if x>1' a) Graph the function h(x). Make the graph…

A: Part ABased on the given equation, the graph of the function should look like this: Desmos is used…

Q: Solve please and thank you!

A:

Q: 1. We want to graph the function f(x) log4 x. In a table below, = find at three points with nice…

A: For the functionf(x)=log4​(x)we can find points with integer y-values by lettingy=log4​(x)⟹x=4yThe…

Q: 7. Evaluate the following limits and justify each step. (a) lim (3x²+2x+1) 1 x²+4x-12 (b) lim 1 2 x²…

A: If you have any questions let me know in the comment box thankyou.

Q: 2. The growth of bacteria in food products makes it necessary to time-date some products (such as…

A: Let me solve this step-by-step.(a) Finding time when bacteria count reaches 3000 million:We need to…

Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = -2 to x = 2.…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 3. Consider the sequences of functions f₁: [-π, π] → R, sin(n²x) An(2) n f pointwise as (i) Find a…

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Q: x The function of is shown below. If I is the function defined by g(x) = [* f(t)dt, write the…

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Q: Consider the functions f(x)=4x-1 and g(x)=sq root of -x+7. Determine 1. f o g(x)  2. Give the domain…

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Q: Find the general solution to the differential equation

A: The general solution is 61​(2y2+1)23​=xex−ex+C

Q: Total marks 15 4. : Let f R2 R be defined by f(x1, x2) = 2x²- 8x1x2+4x+2. Find all local minima of f…

A: Step 1: Compute the partial derivatives fx1​​=∂x1​∂f​=4x1​−8x2​fx2​​=∂x2​∂f​=−8x1​+12x22​Step 2:…

Q: "Use the Opposite Method to solve the following differential equation:" 4'"""" + 34" + 34 + 4 = x

A: Step 1:  Step 2: Also it can be solved by Method of undetermined coefficient. Step 3: Step 4:

Q: 1. Find the formula to the polynomial at right. Show all your work. (4 points) 1- 2 3 сл 5 6 -4 -3…

A: If you have any problem let me know in the comment box thankyou.

Q: Is the function f(x) shown in the graph below continuous at x = −5? f(x) 7 6 5 4 2 1 0 -10 -9 -8 -7…

A: If you have any questions let me know in the comment box thankyou.

Q: A function f is even if f(x) = f(x) for all x in the domain of f. If f is even, with lim f(x) = 4…

A: Step 1: concept  Step 2: solution Step 3: Step 4:

Q: 17. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.050. Evaluate the integral. (Remember to use…

A: 17th answer:18th answer:  19th answer:    Thank you  References:

Q: For what value of A and B the function f(x) will be continuous everywhere for the given…

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Q: 3 y 7 Find the length of the curve x= + on 3 ≤ y ≤5. 21 4y

A: If you have any questions let me know in the comment box thankyou.

Q: Solve the next ED: (see image)

A:

Q: Find the tangential and normal components of the acceleration vector for the curve (t) = (2t,…

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Q: can you solve this question and explain the steps used along the way

A: We need to evaluate the definite integral,∫17​w2lnwdw Since we have a product of two functions, we…

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Q: Use the circle to find exact value of each trigonometric function (number 22)

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Q: 3.17 (B). A simply supported beam has a span of 6 m and carries a distributed load which varies in a…

A:

Q: Find the area of the shaded region. (a) 5- y 3 2- (1,4) (5,0) 1 3 4 5 6 (b) 3 y 2 Decide whether the…

A: First, we need to identify the shape of the shaded region. In part (a), the shaded region is a…

Q: x³-343 If k(x) = x-7 complete the table and use the results to find lim k(x). X-7 x 6.9 6.99 6.999…

A: To complete the table, we'll substitute each value of x into the function k(x) and calculate the…

Q: Use undetermined coefficients to find the particular solution to y"+2y-15y=2e3 Y(t) =

A: To find the particular solution to the differential equation:y′′+2y′−15y=2e3t,We can use the method…

Q: x The function f is shown below. If I is the function defined by g(x) = √ ƒ(t) dt, find the value of…

A:

Q: Find the velocity vector for the position vector (t) = (sin(9+), 9t10, e¯7). x component = y…

A: Step 1: Step 2: Step 3: Step 4:

Q: 2. We want to find the inverse of f(x) = (x+3)² a. On the graph at right, sketch f(x). (Hint: use…

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Q: dy Find for y = xetanh 3x + cosh 1 x²+10 dx Find S 1−sinh 2 x cosh x 2 dx

A:

Q: Please refer below

A: Step 1: Solution  Step 2: Step 3: Step 4:

Q: 19. If the method of undetermined coefficients is used, the form of a particular solution ofy^(4) −…

A: Step 1: Identify the Right-Hand Side ComponentsThe non-homogeneous terms are:e−t (exponential…

Q: PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE A Find the derivative of the function and evaluate f'(x)…

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Q: Find area of the sector show work pls

A: The formula for the area of a sector is:  A=360∘θ​×πr2  where:• θ = 260° (central angle)• r = 11 mi…

Q: 4.4 Derivatives of Exponential Functions 1. Find derivatives of the functions defined as follows. a.…

A: ANS ( a ) :​​ ANS ( b ) :​​  ANS ( c ) :​​ ANS ( d ) :​​

Q: Number 19. please show work

A:

Q: Please refer below

A: First, we need to find the composite function f(g(x)). This is done by substituting g(x) into…