Find the point on the line 4x+3y−4=0 which is closest to the point (2,−3)

Q: vinarixinvaxana Pic г.) 4. Find Brune fronor. [

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A: A point x=a is a point of inflection of f(x) iff f"(a)=0 f(x) is concave upward in (a,b) iff…

Q: Evaluate each arithmetic series described 6 n=1 (6n – 15) = =

A: Solve the given

Q: -uppose y = anx on an open interval I that contains the origin. Express the n=0 ollowing as a…

A: We have to find out

Q: √32 [ { (2) dy d su y arctan 1

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Q: Find af af Әх' ду af ду f(x, y) = 7(x2 + y2) log(x2 + y2), (x, y) ≠ (0, 0) af Әх for the following.…

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Q: Use Fubini's Theorem to evaluate the double integral ff f(x,y) dA, where f(x, y) = 3x + 3x²y +9y and…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: See the answer below

Q: Evaluate the expression. log 6274 log 6274= (Simplify your answer. Type an integer or decimal…

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Q: Fill in the spots in the integration process below based on the indefinite integral 4x²-25 S using…

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Q: Let S be the solid in the first octant situated between the planes 40x + 40y + z = 40 and 8x + 8y +z…

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Q: Find 증 dy dx y = xec COS X

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Q: 4. Find an equation of tangent line at the point (-1, 1) to the curve x¹y² + 1 = x² + y³. 5. The…

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Q: Suppose f(x) is continuous on [2,7] and -5 ≤ f'(x) ≤ 2 for all in (2,7). Use the Mean Value Theorem…

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Q: In Exercises 39-42, write the equation of the hyperbola in standard form. 39. 3x - 4y² = 12

A: hyperbola is given that  3x2 -4y2 = 12 this is the question of the equation of geometry we have to…

Q: Find the limit using I' Mopital's Rule where appropiate. net, the some way ele several times). (IF…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: 11 x ² D the top half of the disc with center the origin and radius 3, by changing to polar…

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Q: The edges OP, OQ and OR of a tetrahedron OPQR are vectors p, q and r, respectively, where p = 2i +…

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Q: A piece of cardboard measuring 14 inches by 13 inches is formed into an open-top box by cutting…

A: Topic- Application of derivatives We are given, Apiece of cardboard of dimensions 14 inches by 13…

Q: 1 for convergence, you 6k8 + 8k¹2 k = 1 will use the Limit Comparison Test, comparing it to the p 1…

A: soution:-∑k=1∞16k8+8k12ak=16k8+8k12Limit Comparison Test using the P series ∑k=1∞1 8kP where…

Q: Using Limits, find the instantaneous rate of change of the following function: f(x) = 2x^2 - 16x +…

A: Topic - Instantaneous rate of range of function using limits We are given,…

Q: Convert the integral below to polar coordinates and evaluate the integral. 3/√√/2 •√√9-y² Si 0 xy dx…

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Q: h(x)=-ln(x+2)

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Q: Given f(x) = 4 sin(x) + 4 cos(x), over the interval 0 ≤ x ≤ 27 answer the following: a) Find the…

A: Note: - According to company policy we can attempt only three subparts a question so please upload…

Q: 5. Only

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Q: Find the amount of each payment to be made into a sinking fund which earns 8% compounded quarterly…

A: NOTE: Refresh your page if you can't see any equations. . the given future value is  FV=$34000…

Q: (16x+ 54-6) dx + (3x +y -1) dy =0

A: To solve the following differential equation.16x+5y-6 dx+3x+y-1 dy=0

Q: Question 4: For what value of the constant a is the function 8(2,4)= exp(-) at solution of the…

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Q: Choose the correct statement about the below function 00 B O One to one and onto O One to one but…

A: By using function theory

Q: Find the linearization L(x) of f(x) at x = a. f(x)=√√6x4, a = 0 Select one: OA. L(x) = ² × - 2 OB.…

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Q: log3x=log3(x2-2)

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Q: 3. (a) Evaluate lim 818 3x¹ - 4x² + 7x - 1 -7x4+x³+4 (b) Determine the equation of horizontal…

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Q: By the alternating series test, the series converges. Find its sum. First find the partial fraction…

A: The objective is to find the sum of the series.

Q: Mike Branson invested his summer earnings of $3000 in a savings account for college. The account…

A: solution:-Principal amount, P=$3000Interest rate, r=5.5%Time , t=3 months=312 years

Q: Evaluate the integral. 5 dx 1 (x² - 1)3/2 0.134080 X

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Q: 1. Find the length of the curve y = ln(secx), where 0 ≤ x ≤ (1.5 Marks)

A: Note: For a function f(x) and x=a to x=bthen arc length is given by ∫ab1+(f'(x))2dx. Now in the…

Q: 4. If y = tan-¹(cos x), then dy = dx

A: As we know the Chain rule: fgx'=f'gx·g'x And Use the common derivatives.…

Q: 3. Evaluate the following integral S sin x - cos x - dx sin x + cos x O a. In[sinx + cosx| + C O b.…

A: Let's evaluate the given integral.

Q: A bank features a savings account that has an annual percentage rate of r 3.3% with interest =…

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Q: Let f(x) = Then f'(x) = 4 sin x 2 sin x + 6 cos a π The equation of the tangent line to y = f(x) at…

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Q: Why do you add pi and subtract by (x) in step 2? Where does the pi come from? How does the integral…

A: we can solve the integral.

Q: A polynomial function is given. Q(x) = -x²(x² - 4) (a) Describe the end behavior of the polynomial…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find 이승 dy dx y=3(secx + tan x)(secx- tan x) 11 ***

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Q: Find y" for y = -2(x²+6)3 y" = x

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Q: Əw Find when r = 3 and s= - 3 if w = (x+y+z)²₁ x=r-s, y = cos (r + s), z = sin (r + s). ər Əw ər |r=…

A: We will find as shown below

Q: Find the future value for the ordinary annuity with the given payment and interest rate. PMT=…

A: To find the future value.

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 2…

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Q: A landowner has 475 m of fencing material with which to enclose a rectangular space divided into two…

A: Topic - Application of derivatives We are given, Maximum length of fencing material to be used =475m…

Q: A. 8-24x C. Find the second В. 8х + 10-6х-4 8+ 24x−1 8+24x-5 D c. Y = 4x² + 10x + -5 Find derivative…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…