Find the in tervals onu are? (H [ncreassing and dec iU concareup and cancave and the X- coor dinate of all critie at andinfection

Q: suppose A is a positive real number, determine the area of the traingle enclosed by the lines x=0,…

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Q: a mathematician designs a patio for her backyard to follow a particular curve.  a region of the…

A: Solution is given below:

Q: uong dutegre hon by Partial Fracthos 4 dx Cwalnałe

A: Method of long division and some basic integral formulae are needed in this.

Q: 2/7,545

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Q: Ⓒ giver fixt 4 2 M + 2 as Find the integral y fam be fou half, of a circle. an [0,7].

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Q: 7) A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is 40…

A: Given: A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is…

Q: Show that f(x)= -1/(1+x^2) is pseudoconvex please check also the attached picture

A: Let f:S→ℝ be a differentiable function and S be a non-empty convex set in ℝn, then f is pseudoconvex…

Q: Gxample: Are the fellouing functiens emaly tic}

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 19) Use linear approkimation to estimate 169 J69? (rounded to 4 decimal places)

A: We want to find the approximate value of √69. According to linear approximation,    L(x) = f(a) +…

Q: per ale hey sepalating 4. A line passes thru (5, 11) and cuts a right triangle with the coordinate…

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Q: - Show that charactaristic function associatel with two distinct chavacteristic values always…

A: We have to show that the eigenfuctions/characteristic functions associated with two distinct…

Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

A: Cone Equation: z2=x2+y2 Given point: 3,-3,0 To find: the points on the cone nearest to the given…

Q: The paper cup shown in the attached document has radius R2=1.5R1, height (h), volume V=716 cm^3,and…

A: Given that :R2 = 1.5 R1Hence including R2 in the volume formula or equation

Q: 1) LIST A PAIR OF K'S THAT FIT THE DESCRIPTION a) CORRESPONDING *'S b) ALTERNATE INT/EXT &'S C) SAME…

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Q: use the Mean value Theorem to establish Isine-siny </2-y) Ve,yER

A: We will prove the inequality as following.

Q: what is the avorago valus OF a Funckon F on an Posterval [a,b]? 13 the given by vallis of Fa)-tan X,…

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Q: What the scale factor of the dilation (with center at the origin) if point V(5, 3) becomes V^ prime…

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Q: Criven three points in R? x,=[-l,',2], [-1, !,2]", X, =-1,1,2]" and 1g=(-!,T,2]". Pind the %3D %3D…

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Q: Find the length of are リ-Jx-2+ Sa'z) + Sin

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Q: In the diagram below of ASIR, a) Draw AS'I'R' the image of ASIR after a dilation Dp 05

A: We get △S'I'R' as

Q: Eevery comPact and Ta- SPace is Tus Pa ce

A: Let us prove this theorem.

Q: Find the Values of Constunts a, boc that maximum Value of divectional direchive. of T= any+Lyg+cg,at…

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Q: 33) In quadrilateral RSTU, Es I ST and ŪT I diasgned If RS =6,ST = 8, and 12U = 15, find UT %3D

A: We can easily solve this problem by using Pythagoras Theorem in both the triangles (one by one).

Q: Using 5 subintervals, calculate the distance traveled using a left sum Suppose a cars velocity was…

A: From the given table We have  Number of strip n=10 △t=1   Distance traveled by car is given as…

Q: A-Estimate J, 2e-3* dx using trapezoidal rule with four subinterval round your answer to one decimal…

A: Given is the integral  ∫-11 2e-3xdx The aim is evaluate the integral using trapezoidal rule.

Q: Find an evintion for the tangent ine to the goaph of the given Sunclion at (-5,16)

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Q: (Challenging): Curve y =x*(x+3) is calleo Tschirnhausers cubic. Graph this at desmos.com/cal.cuator.…

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Q: Find T N, o$ B for the carve at the indiccted poinat r0=12,c号ど) (1,!,}) at 3. 3.

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Q: The of ab any tempseature of Satisfies ulxit) Semi - infinite bag equation point a the 2u (ocit) at…

A: The temperature of ux,t of any point of a semi infinite bar satisfies the equation ∂u∂tx,t=∂2u∂x2x,t…

Q: ut (X, Tof) be the cofinita to p. Jet A = {1,3]. etス=R B= Co1) %3D Fnd Ā ļ B.

A: Here given that X=R  Let A={1,3} and B=(0,1)

Q: © Applyjing guaphicd amlyin to silve the fallomng graphical analyin to selve the n pieblen. muximiz…

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Q: The Position of by Patticle defined (4Sın TI ti+4costj + 6tK) Determine To magmtude of velouty and…

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Q: Evaluate ∫∫R sin(x^2 + y^2) dxdy where R is the region inside the circle x^2 + y^2 = π.

A: Given the function f(x,y)=sinx2+y2 Note that the given region R is the circle x2+y2=π with a center…

Q: o let fon= (x-1)? +2; xzl a find f-(x),domain range b) confirm fof cigraph t Uning yix using…

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Q: d Compute [(2x² + 5)(4.x –1)] at x = Со dr

A: To find: The value of  ddx2x2+54x-1at x=12. Concept used: Product rule of differentiation f·g'=f…

Q: ſždz, y is the line segment from 0 to 1 + i §ždz, y is the unit circle with positive orientation

A: Line integral of function f(z) along a path C which given by parametric function γt from t=a to t=b…

Q: 0(0,0). U(0,3), A(5,3), and D(5,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0)…

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Q: Make a diagram showing &lt;PQR bisected by QX Choose a point Y on the ray opposite to QX.…

A: A ray is defined as a length whose one end is fixed but other end extends indefinitely.

Q: biveniJN/AN, Dis the midpoint of JA Prove: AJON E A ADM A.

A: Solved below