Find an equation of the tangent line to the curve at the given point.

Q: 17 O. 32 B Find the measure of each side indicated. Round to the nearest tenth. 5) 6) 43 6. 57 43° C...

A: Topic:- Geometry

Q: The radius of a circular oil slick expands at a rate of 3 m/min. (a) How fast is the area of the oil...

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Q: 9, f(x)dx f(x)dæ = 4, f(x)dx = 6. %3D Suppose %3D | f(x)dx (9f(x) – 4)dæ

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Q: Karen decided to put her money into two investments. She deposited an amount in an investment paying...

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Q: Directions: Use the reference angle and appropriate sign to find the exact value of each expression....

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3. In (cose) tane d...

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Q: 4- Prove that lim- tan 2x 5-lim 2(-3+x)²-18) x-0 X-0 2.

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Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled...

A: Given that: D(t)=4sin πt4+9π4+3

Q: dy dx こD > SOLYE FOR THE GENE

A: Please refer to the image below 

Q: Evaluate the definite integral 1.5 5 sec2(x) dæ 0.6

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Q: Show how to use the Intermediate Value Theorem to show that the equation z – V4z = 7 has a solution ...

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Q: 5) B 57 43° A 12 Y 7) 64° 7 C Solve each triangle. Round

A: Given that:             NOTE: As per our answering guidelines, we can only answer 1 question or 3 su...

Q: Use Part 2 of the Fundamental Theorem of Calculus to decide if the definite integral exists and eith...

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Q: 6. x+1 f(x)= x?ーx-2 !! 8. f(x) オー1 10. sa) = {*, **1 s(x) = 0, %3D X=1

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Q: e equation of the tangent line to the curve y = . at the point (3,- ) ) is x+16y +11=0 x+8y - 7 = 0 ...

A: Topic:- calculus

Q: Evaluate the integral 3 sin(t)dt

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Q: Evaluate the following integrals using “Integration by Substitution”.

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Q: (3 +x if x < -1 if -1 sx< 1. (2 - x if x 2 1 Let f(x) = {x2 Sketch the graph of f. y y 3 -3 -2 -1 1 ...

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Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5 Th...

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ; Gx=fx9a8=12...

Q: Evaluate S dx by letting u = x – 1. The given integral can be transformed to S h(u)du. If we evaluat...

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Q: (1) For every natural number n, x" = nx"-1 (you may use the product rule for derivatives and that x ...

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Q: Determine amplitude, period, phase shift and the midline of the following function: y = -3 cos (x-)+...

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Q: dt 4е-t — et

A: ∫14e-t-etdt=∫14et-etdt=∫et4-e2tdtlet  et=uthen∫et4-e2tdt=∫14-u2du

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an answ...

A: We have to find limit Value on the basis of Given graph.

Q: 2- y = prove that (sin x) = cos x %3D dx

A: Topic:- derivatives

Q: 16) Find [2 f(x) - 3g(x) ]' = at x = 1 A) - 9 B) 11 C) - 1 D) 7 17) Find [g(x)f (x) ]'=_ at x = 3 A)...

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Q: Which of the following ordered pairs does NOT satisfy the graph of 5x-2y=10? а. (3,2.5) b. (1,1) с. ...

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Q: A matrix that is not square can still have an inverse.

A: Inverse of a matrix.

Q: Evaluate the integral. 5n /2 2, 1 - cos t dt 3π/2

A:     ∫3π25π21-cos2tdt=∫3π25π2sin2tdt=∫3π25π2sintdt=∫3π22π-sintdt+∫2π5π2sintdt=1+1=2

Q: Find the general explicit solution to the differential equation xyy′ = x2 + 1

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Q: dx 9х2 — 12х — 5 9x2

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Q: 8 sin() Σ n2 mstl n=1

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Q: Find general solution for the following linear differential equation: y' + 2ty = 4t.

A: Given that: y'+2ty=4t

Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

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Q: For the curve whose equation is given by z -3xy +y-4x+2y+1-0, deline the equalion of the tangent lin...

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Q: 47. sin(x)+ cos(x) = 1

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Q: Which among the following illustrates the limit of an identity function? O lim z = - 1 lim a = 1 I-1...

A: Given that: Limits of an identity function

Q: Which of the following limit laws is NOT applied? lim (2? + 7æ – 5) = 13 O Limit of a Constant O Lim...

A: laws of limit

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by...

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Q: Find the derivative of the function using the definition of derivative. 9(x) = /2 - x g'(x) = State ...

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Q: Lesson 1 – Solving Trigonometric Equations with a Graphing Calculator 1. Determine the number of sol...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: 1. lim f(x) : = -1 and f(1)DNE 2. lim f(x): = 1 and f(0) = -3 3. lim f(x) = -2, X →2- lim f(x) x → 2...

A: We have to graph the function asper the given limits.

Q: Evaluate the integral by interpreting it in terms of areas: | (4 + 32) dz : %3D

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Q: Which of the following ordered pairs satisfy the inequality 3x+2y= а. (0,0) .Ь. (5,1) с. (0,2.5) • d...

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Q: Given f(x)=−2x^2+4x+13, find f′(−4) using the definition of a derivative.

A: f'(a) = limh→0 f(a+h)-f(a)h.

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 35 dx 3e 1. J- Ve3x...

A: Given query is to find the value of the integral.

Q: Using newtons method to approximate the zeros of the function. Continue the iterations until 2 succe...

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Q: baseball team plays in a stadium that holds 56,000 spectators. With the ticket price at $10, the ave...

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Q: Consider the function f(x) = Complete the table below and sketch its graph. x 2 |-1 |-0.5 -0.1 F(x) ...

A: Given Data: fx=x+1x2+x

Q: 2-3 Let f(x) = %3D x-2 a. Find the intervals on which the function is increasing and decreasing. b. ...

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